True, The given statement "for a buffers solution, when small amounts of acids or bases are added to the buffer solution then buffer keeps the pH
A buffer solution is an aqueous solution consisting of a weak acid and its corresponding base (or a weak base and its corresponding acid).Buffer solutions resist changes in pH when small amounts of acids or bases are added to them.
This is why buffer solutions are utilized to maintain a constant pH range, as they can resist pH changes in either direction. How do buffer solutions maintain a stable pH, Buffers work by either accepting hydrogen ions or donating them. When an acid is added to a buffer solution, the buffer binds to the hydrogen ions.
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1. How many moles of Mg are there in 9.20 x 1024 atoms of Mg?
Answer:
15.28 molesExplanation:
To find the number of moles in a substance given it's number of entities we use the formula
\(n = \frac{N}{L} \\\)
where n is the number of moles
N is the number of entities
L is the Avogadro's constant which is
6.02 × 10²³ entities
From the question we have
\(n = \frac{9.20 \times {10}^{24} }{6.02 \times {10}^{23} } \\ = 15.282392..\)
We have the final answer as
15.28 molesHope this helps you
Rank the following compounds from weakest to strongest intermolecular forces. Justify your answer.
1. a. H2S b. I2 c. N2 d. H2O
2. a. H2Se b. H2S c. H2Po d. H2Te
we need to consider the types of intermolecular forces present in each compound. Ranking from weakest to strongest intermolecular forces: H₂S < H₂Se < H₂Po < H₂Te
a. H₂S is a polar molecule with dipole-dipole interactions. It exhibits London dispersion forces as well.
b. I₂ is a nonpolar molecule with only London dispersion forces.
c. N₂ is a nonpolar molecule with only London dispersion forces.
d. H₂O is a polar molecule with stronger dipole-dipole interactions compared to H2S.
H₂Se, H₂S, H₂Po, H₂Te:
a. H₂Se: H₂Se is similar to H₂S and exhibits polar covalent bonds with dipole-dipole interactions.
b. H₂S: H₂S is a polar molecule with dipole-dipole interactions.
c. H₂Po: H₂Po is a polar molecule with dipole-dipole interactions. The presence of heavier atoms .
d. H₂Te: H₂Te is a polar molecule with dipole-dipole interactions
Ranking from weakest to strongest intermolecular forces: H₂S < H₂Se < H₂Po < H₂Te
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What would the formula be for this model above?
A--CH4
B--ОСНs
C--4CH4
D--O Cg H4
Answer:
CH4
Explanation:
A= CH4
Dark roasted coffee contains increased amounts of N-methylpyridinium or NMP, a ringed compound which is not present in green, unroasted coffee beans. This compound seems to decrease the stomach acid production normally associated with drinking coffee. In coffee made from dark roasted coffee, the concentration of NMP is 30.4 mg/L. How many milligrams of NMP would you consume if you drank 2.00 large cups of dark roasted coffee? (1 coffee cup contains 10.0 fluid ounces of liquid.)
If you drink 2.00 large cups of dark roasted coffee, you would consume 608.0 mg of N-methylpyridinium (NMP).
To calculate this, first, we need to convert the volume of coffee from fluid ounces to liters, using the conversion factor 1 L = 33.814 fl oz:
2.00 large cups × 10.0 fl oz/large cup ÷ 33.814 fl oz/L = 0.591 L
Next, we can use the concentration of NMP in the coffee to calculate how much NMP is in 0.591 L of coffee:
30.4 mg NMP/L × 0.591 L = 17.9584 mg NMP
Therefore, if you drink 2.00 large cups of dark roasted coffee, you would consume approximately 18 mg of NMP.
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determine the order of the intermediates in the biosynthesis of cholesterol. Note, HMG-CoA is the abbreviation for 3-hydroxy-3-methylglutaryl CoA. Identify the correct order of the first three intermediates. O HMG-CoA rightarrow acetyl CoA rightarrow mevalonate O acetyl CoA rightarrow mevalonate rightarrow HMG-CoA O mevalonate rightarrow acetyl CoA rightarrow HMG-CoA O acetyl CoA rightarrow HMG-CoA rightarrow mevalonate
Identify the next three intermediates, in the correct order. O famesyl pyrophosphate rightarrow isopentenyl pyrophosphate rightarrow geranyl pyrophosphate O isopentenyl pyrophosphate rightarrow geranyl pyrophosphate rightarrow farnesyl pyrophosphate O geranyl pyrophosphate rightarrow famesyl pyrophosphate rightarrow isopentenyl pyrophosphate
Identify the remaining intermediates to form cholesterol. O lanosterol rightarrow squalene epoxide rightarrow squalene rightarrow cholesterol O squalene rightarrow squalene epoxide rightarrow lanosterol rightarrow cholesterol O squalene epoxide rightarrow squalene rightarrow lanosterol rightarrow cholesterol O lanosterol rightarrow squalene rightarrow squalene epoxide rightarrow cholesterol
The biosynthesis of cholesterol is a complex process that involves multiple steps and intermediates. The pathway starts with acetyl CoA, which is converted to HMG-CoA by the enzyme HMG-CoA reductase. Mevalonate is then formed by the action of several enzymes. The next intermediates are isopentenyl pyrophosphate, geranyl pyrophosphate, and farnesyl pyrophosphate, which are formed by the condensation of several molecules of isopentenyl pyrophosphate.
Finally, lanosterol is formed from squalene through several intermediate steps, which ultimately lead to the production of cholesterol. This process is tightly regulated, and any disruption in the biosynthesis of cholesterol can lead to various diseases. In the biosynthesis of cholesterol, the correct order of the first three intermediates is: acetyl CoA → HMG-CoA → mevalonate.
The next three intermediates, in the correct order, are: isopentenyl pyrophosphate → geranyl pyrophosphate → farnesyl pyrophosphate.
The remaining intermediates to form cholesterol are: squalene → squalene epoxide → lanosterol → cholesterol.
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The beta decay of cesium-137 has a half-life of 30.0 years. How many years must pass to reduce a 25.0 mg sample of cesium-137 to 9.38 mg?
Answer:
t = 42.4 years
Explanation:
To find the amount of time needed for the sample to decay, you need to use the half-life equation:
\(N(t) = N_0(\frac{1}{2})^{t/h}\)
In this equation,
-----> N(t) = final mass (mg)
-----> N₀ = initial mass (mg)
-----> t = time passed (yrs)
-----> h = half-life (yrs)
You can find how much time passed by plugging the given variables into the equation and solving for "t". The final answer should have 3 sig figs like the given values.
N(t) = 9.38 mg t = ? yrs
N₀ = 25.0 mg h = 30.0 yrs
\(N(t) = N_0(\frac{1}{2})^{t/h}\) <----- Half-life equation
\(9.38mg = 25.0mg(\frac{1}{2})^{t/30.0yrs}\) <----- Insert variables
\(0.3752 = (\frac{1}{2})^{t/30.0yrs}\) <----- Divide both sides by 25.0 mg
\(ln(0.3752) = ln((\frac{1}{2})^{t/30.0yrs})\) <----- Take the natural log of both sides
\(ln(0.3752) = \frac{t}{30.0yrs} ln(\frac{1}{2})\) <----- Rearrange the exponent
\(-9.803 = \frac{t}{30.0yrs} (-0.6931)\) <----- Solve the natural logs
\(1.1414= \frac{t}{30.0yrs}\) <----- Divide both sides by -0.6931
\(42.4 yrs= t\) <----- Multiply both sides by 30.0 yrs
Which equation correctly describes photosynthesis? Question 5 options: water sugar oxygen → carbon dioxide chlorophyll sunlight water carbon dioxide → oxygen sugar sunlight sugar → water oxygen carbon dioxide oxygen → water sugar sunlight.
Photosynthesis is a process of food and energy production by autotrophs. Water and carbon dioxide in the presence of sunlight gives oxygen and sugar.
What are the reactants and the products of photosynthesis?Photosynthesis is a biochemical reaction that uses organic and inorganic compounds and converts the molecules with the help of biological organs and substances.
The reactant of the process includes atmospheric water vapours, carbon dioxide and the heat and energy from the sun. These reactants are used by plants and some other organisms.
The organism utilizes the reactants and produces molecules of sugar like glucose and by-product oxygen. These molecules are necessary for the metabolic and respiratory processes.
Therefore, option B. \(\rm sunlight + water + carbon\; dioxide \rightarrow oxygen + sugar\) is the correct equation that describes photosynthesis.
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Question 29
Lakes having characteristics of being clean, high in DO, deep and receiving few nutrients:
a. Oligotrophic
b. Mesotrophic
c. Euphoric
d. Eutrophic
The lakes having characteristics of being clean, high in DO, deep and receiving few nutrients are typically classified as "oligotrophic" lakes.
The lakes having characteristics of being clean, high in DO, deep and receiving few nutrients are typically classified as "oligotrophic" lakes. Oligotrophic lakes are generally low in nutrients and productivity, resulting in clear water, high oxygen levels, and limited biological productivity.
These lakes are often deep and have a low rate of nutrient input, usually from sources such as rainfall or groundwater. The opposite of oligotrophic lakes is eutrophic lakes, which are high in nutrients and productivity, resulting in murky water, low oxygen levels, and high biological productivity.
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The equation for this reaction is MgO + H2O = MgO + h2. the teacher used 1.00g of magnesium. Calculate the maximum mass of MgO produced
The maximum mass of MgO produced is 1.64 g.
The given equation is not balanced. Assuming the correct equation is:
Mg + H₂O → MgO + H₂
The balanced equation shows that 1 mole of Mg reacts with 1 mole of H₂O to produce 1 mole of MgO and 1 mole of H₂.
The molar mass of Mg is 24.31 g/mol, which means that 1.00 g of Mg is equal to 1.00 g / 24.31 g/mol = 0.0411 mol Mg.
According to the balanced equation, 1 mol of Mg produces 1 mol of MgO. Therefore, 0.0411 mol of Mg produces 0.0411 mol of MgO.
The molar mass of magnesium oxide is 40.31 g/mol, which means that 0.0411 mol of MgO is equal to 0.0411 mol × 40.31 g/mol
= 1.64 g of MgO.
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Đối với nguyên tử của các nguyên tố trong cùng một nhóm (trừ 2 cột cuối của nhóm VIIIB), mối quan hệ giữa số thứ tự của nhóm và electron hóa trị như thế nào?
Answer:
For atoms of elements in the same group (except the last 2 columns of group VIIIB), what is the relationship between the group number and the valence electron?
9. How many grams of zinc are needed to produce 12 grams of zinc chloride according to the following equation? Y-
Zn + Cl2 --> ZnCl2
12 grams of zinc
O 2.9 grams of zinc
O 11.6 grams of zinc
O 5.8 grams of zinc
Given :
A balanced chemical equation :
\(Zn +Cl_2->ZnCl_2\)
To Find :
How many grams of zinc are needed to produce 12 grams of zinc chloride.
Solution :
Moles of \(ZnCl_2\) ,
\(n=\dfrac{Given \ wt}{Molecular\ Mass}\\\\n =\dfrac{12}{136.30}\ mol\\\\n=0.088\ mol\)
Now, by balanced chemical equation we can say that 1 mol of Zn produce
1 mol of \(ZnCl_2\) .
So, 0.088 mol of Zn is required to produced 0.088 mol of \(ZnCl_2\) .
\(Mass \ required = molecular \ mass \times moles\\\\m = 65.38 \times 0.088\\\\m=5.8 \ gm\)
Therefore, 5.8 grams of zinc is required.
Hence, this is the required solution.
What combination of substances will give a buffered solution that has a pH of 5.05? (Assume each pair of substances is dissolved in 5.0 L of water.) (Kb for NH3 = 1.8 ´ 10–5; Kb for C5H5N = 1.7 ´ 10–9) Select one: a. 1.0 mole NH3 and 1.5 mole NH4Cl b. 1.5 mole NH3 and 1.0 mole NH4Cl c. 1.0 mole C5H5N and 1.5 mole C5H5NHCl d. 1.5 mole C5H5N and 1.0 mole C5H5NHCl e. none of these
Answer:
c. 1.0 mole C5H5N and 1.5 mole C5H5NHCl
Explanation:
We can determine pH of a buffer using H-H equation:
pH = pKa + log [A⁻] / [HA]
Where [A⁻] is concentration of conjugate base and [HA] concentration of weak acid. These concentrations can be computed as moles of each species.
We need to determine pKa of both NH₃ and C₅H₅N buffers, thus:
pKb = -log Kb
NH₃ pKb = -log 1.8x10⁻⁵ = 4.74
C₅H₅N pKb = -log 1.7x10⁻⁹ = 8.77
And pKa = 14 - pKb:
NH₃ pKa = 14 - 4.74 = 9.26
C₅H₅N pKb = 14 - 8.77 = 5.23
A buffer works only under pH's between pKa-1 and pKa + 1. As pKa NH₃ buffer is 9.23 is not possible to produce a buffer with pH 5.05 for this system.
Thus, we only will compute the buffers made with C₅H₅N:
c. 1.0 mole C5H5N (Weak base) and 1.5 mole C5H5NHCl (Conjugate acid)
pH = pKa + log [A⁻] / [HA]
pH = 5.23+ log [1.0 moles] / 1.5 moles]
pH = 5.05d. 1.5 mole C5H5N and 1.0 mole C5H5NHCl
pH = pKa + log [A⁻] / [HA]
pH = 5.23+ log [1.5 moles] / 1.0 moles]
pH = 5.41Right solution is:
c. 1.0 mole C5H5N and 1.5 mole C5H5NHClhe removal of the alcohol seen in the conversion of the nasal decongestant pseudoephedrine to the illicit drug methamphetamine (alluded in the hit TV show Breaking Bad), constitutes what type of process? Your answer Reduction Oxidation Neither
The removal of the alcohol seen in the conversion of the nasal decongestant pseudoephedrine to the illicit drug methamphetamine constitutes reduction process.
Redox is a type of chemical reaction in which the oxidation states of substrate change. Oxidation is the loss of electrons or an increase in the oxidation state, while reduction is the gain of electrons or a decrease in the oxidation state. The removal of the alcohol seen in the conversion of the nasal decongestant pseudoephedrine to the illicit drug methamphetamine constitutes reduction process. The “Birch method” is a chemical reduction reaction to convert pseudoephedrine in base form into methamphetamine. The “Red Phosphorous method” is a chemical reduction reaction utilizing red phosphorus/hydriodic acid chemistry to convert pseudoephedrine to methamphetamine.
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what is the pH of a solution with a pOH of 3.23
Answer:
10.77
Explanation:
The relationship between pH and pOH is
pH + pOH = 14
Plugging in the pOH makes
pH + 3.23 = 14
And solving for pH by subtracting 3.23 on both sides
pH = 10.77
How many grams of HNO3 are needed to make 700.0 mL of a 5.0 M solution?
220.035 grams of HNO3 are needed to make 700.0 mL of a 5.0 M solution.
To make 700.0 mL of a 5.0 M solution of HNO3, we need to calculate the number of moles of HNO3 required, then convert that to grams. We can use the formula: Molarity = moles of solute / liters of solution.We know that the molarity is 5.0 M and the volume is 700.0 mL.
To convert mL to L, we divide by 1000. So: 5.0 M = moles of HNO3 / (700.0 mL / 1000)Solving for moles of HNO3: moles of HNO3 = (5.0 M) x (700.0 mL / 1000) = 3.5 moles of HNO3. Then we can use the molar mass of HNO3 to convert moles to grams.
HNO3 molar mass is 63.01 g/mol. So, the number of grams of HNO3 required is: 3.5 moles x 63.01 g/mol = 220.035 g. Therefore, 220.035 grams of HNO3 are needed to make 700.0 mL of a 5.0 M solution.
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The concept molarity is an important method which is used to calculate the concentration of a solution. It is mainly employed to calculate the concentration of a binary solution. Here the grams of HNO₃ is 220.53 g.
What is molarity?The term molarity is defined as the number of moles of the solute present per litre of the solution. It is represented by using the letter 'M' and its unit is mol/L. The term molarity is also known as the molar concentration.
Molarity = Number of moles of the solute / Volume of the solution in litres
700.0 mL = 0.7 L
Number of moles = Molarity × Volume of the solution
5.0 × 0.7 = 3.5
Number of moles = Mass / Molar mass
3.5 = m / 63.01
m = 220.53 g
Thus the mass in grams of HNO₃ is 220.53 g.
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what characteristics do degenerate orbitals have? [select all that apply] group of answer choices degenerate orbitals always have the same number of electrons in them. degenerate orbitals have the same energy. all orbitals belonging to the same atom are degenerate with respect to one another. degenerate orbitals always have the same shape and orientation.
Degenerate orbitals are orbitals that have the same energy level and are equivalent in their spatial distribution. They are often found in atoms with partially filled subshells or in molecules with similar electronic configurations.
Some characteristics of degenerate orbitals include:
Degenerate orbitals have the same energy: This means that electrons in degenerate orbitals have equal energy levels and cannot be distinguished from one another by their energy.
All orbitals belonging to the same atom are degenerate with respect to one another: This means that within an atom, all orbitals with the same energy level are degenerate.
Degenerate orbitals do not necessarily have the same shape and orientation: This means that orbitals with the same energy level can have different shapes and orientations, such as p orbitals in different directions.
Degenerate orbitals may or may not have the same number of electrons: This means that degeneracy is related to energy level rather than electron count.
Overall, the degeneracy of orbitals is an important concept in understanding electronic structure and chemical bonding.
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Why is the force of gravity greater for an object orbiting Earth than for the
same object orbiting Pluto?
A. Earth has only one moon, while Pluto has three.
B. Earth is closer to the sun than Pluto.
C. Earth has a heavy atmosphere and Pluto does not.
D. Earth is more massive than Pluto.
Answer:
d) Earth is more massive than Pluto.
Explanation:
The force of gravity is greater for an object orbiting the Earth than for the same object orbiting Pluto, because Earth is more massive than Pluto.
The common factor is that the greater the planet's mass, the greater its gravitational force acting on an object. Hence, the option (d) is the correct answer.
2090 J of heat energy are removed from 40 g of a silvery metal at 81.7°C. The temperature falls to 30°C. According to the chart below which metal would it most likely be? (Show work!) METAL. SPECIFIC HEAT (J/goC) -aluminum = 0.90 -magnesium = 1.01 -silver = 0.234 -tin = 0.220 -zinc = 0.386
Answer:
Magnesium would be the metal
Explanation:
The heat involved in a physicochemical process follows the formula:
Q = m×C×ΔT
Where Q is heat involved,
m is mass of substance,
C is specific heat of the susbtance
And ΔT change in temperature
We can solve por specific heat of the solution:
C = Q / m*ΔT
Replacing the values of the problem:
C = 2090J / 40g*(81.7°C-30°C)
C = 1.01J/g°C
This specific heat is the specific heat of Magnesium. Thus:
Magnesium would be the metal30 point. What is formed when a hydroxyl group is substituted for a hydrogen?
Answer:
alcohol
Explanation:
In photosynthesis, carbon dioxide is reduced and h2o is oxidized. What type of chemical reaction is this?.
In photosynthesis, carbon dioxide is reduced and H₂O is oxidized. The type of chemical reaction is Redox reaction.
Oxidation is the loss of electron and reduction is the gain of electrons. When in a reaction both oxidation and reduction occurs called as redox reaction.
oxidation :
2H₂O ----> O₂ + 4H⁺
reduction :
4H⁺ + 6CO₂ ----> CH₂O + 6H₂O
overall reaction : redox reaction
CO₂ + H₂O -----> (CH₂O)n + H₂O + O₂
The photosynthesis equation is given as :
6CO₂ + 6H₂O -----> C₆H₁₂O₆ + 6H₂O + 6O₂
Thus, In photosynthesis, carbon dioxide is reduced and H₂O is oxidized. The type of chemical reaction is Redox reaction.
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the following are the standard reduction potentials based on the standard hydrogen electrode (she) having a cell potential of 0 v. what would the reduction potential be for the zinc half-reaction if copper were used as a reference electrode?
The reduction potential for the zinc half-reaction with copper as the reference electrode is -0.42 V.
To find the reduction potential for the zinc half-reaction with copper as the reference electrode, we need to use the Nernst equation:
Ecell = Eºcell - (RT/nF) ln(Q)
where Eºcell is the standard cell potential, R is the gas constant, T is the temperature, n is the number of electrons transferred in the cell reaction, F is the Faraday constant, and Q is the reaction quotient.
We know that the standard reduction potential for the zinc half-reaction is -0.76 V (with SHE as the reference electrode). To convert this to the potential with copper as the reference electrode, we need to add the standard reduction potential for the copper half-reaction:
\(\mathrm{Cu^{2+} + 2e^- \rightarrow Cu} \qquad E^\circ_{\mathrm{red}} = +0.34 , \mathrm{V}\)
We can then use the equation:
Eºcell (with Cu as the reference) = Eºcell (with SHE as the reference) + Eºred (for the copper half-reaction)
Eºcell (with Cu as the reference) = -0.76 V + 0.34 V = -0.42 V
Therefore, the reduction potential for the zinc half-reaction with copper as the reference electrode is -0.42 V.
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(free question so use your creativity!!)
Physical science is the ____________ class in the world!
Answer:
Best
Explanation:
physical, best, greatest.
Bbsbsjsjsjwjwjwjwjehhehehe
Answer:
Explanation:
Suggestions:
Make sure all words are spelled correctly.
Try different keywords.
Try more general keywords.
Name the salt K4[Pt(CO3)2F2] given that the carbonate ion acts as a monodentate ligand in the complex. The oxidation number of platinum is 2.
The given salt K4[Pt(CO3)2F2] is Potassium dicarbonatodifluoroplatinate (II) as per the IUPAC nomenclature.
What is IUPAC nomenclature?The International Union of Pure and Applied Chemistry (IUPAC) developed the IUPAC nomenclature as a standard for naming organic molecules and compounds (IUPAC). Every chemical structure has a distinct, clear name thanks to its design. Each molecule or compound is given a name according to the IUPAC nomenclature depending on its structure.
In this case, the prefix "di" is utilized because the carbonate ion is acting as a monodentate ligand. If a bidentate ligand had been present, the prefix "bis" would have been used.
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What is polarity as used in magnets?
In a permanent magnet, a magnetic field is produced by the composite motions of electrons in geometrically aligned atoms.
A magnetic field is characterized by poles called north and south. Magnetic polarity refers to the orientation of these poles in space.
Answer:
The polarity of a magnet usually means the direction of a vector which points from the south pole of the magnet toward the north pole. ... In this case the polarity is expressed in a way that indicates a circular direction, such as clockwise, or as a perpendicular vector representing the curl of the internal field.
Explanation:
When a solution becomes more acidic, does its pH increase or decrease? Explain up to 2 to 4 sentences.
Answer:
it decrease when a solution becomes more acidic which means that decrease in pH means increase..
Answer:
it's ph decreases.. meaning those with a small ph value are more acidic.forinstance one with a ph of 1 is more acidic than the one with a ph of 3.
I hope this helps
suppose you are measuring the mass of a solid sample on a balance using a weigh boat. you record the data in a table. mass of weigh boat 3.081 g mass of weigh boat and sample 5.620 g what is the mass of the solid sample (in g)?
The mass of the solid sample is 2.539 g. Suppose you are measuring the mass of a solid sample on a balance using a weigh boat. you record the data in a table. mass of weigh boat 3.081 g mass of weigh boat and sample 5.620 g
To find the mass of the solid sample, you need to subtract the mass of the weigh boat from the combined mass of the weigh boat and the sample.
Step 1: Write down the given values:
Mass of weigh boat = 3.081 g
Mass of weigh boat and sample = 5.620 g
Step 2: Subtract the mass of the weigh boat from the combined mass:
Mass of solid sample = Mass of weigh boat and sample - Mass of weigh boat
Mass of solid sample = 5.620 g - 3.081 g
Step 3: Calculate the mass of the solid sample:
Mass of solid sample = 2.539 g
The mass of the solid sample is 2.539 g.
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A balanced chemical equation always obeys law of conservation of ___.
A balanced chemical equation always obeys law of conservation of mass.
A balanced chemical equation generally obeys to law of conservation of mass. As per this regulation the mass of items should be equivalent to the mass of reactants. A response is supposed to be adjusted when the complete mass of particles on the two sides of the substance response is equal.According to the law of conservation of mass, the mass of the items in a synthetic response should rise to the mass of the reactants.
The law of conservation of mass is helpful for various computations and can be utilized to tackle for obscure masses, such how much gas consumed or delivered during a reaction.They should submit to the Law of conservation of Mass that expresses that matter can't be made or obliterated, it is saved. The mass of the reactants should rise to the mass of the products.Thus, the mass of substances created in a synthetic response is consistently equivalent to the mass of responding substances. Consequently, you really want to have a similar number of each kind of component on each side of a synthetic condition. This is the entire reason for adjusting a synthetic condition.
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14. A sample that originally contained 2.5 g of rubidium-87 now contains 1.25 g. The half-life of rubidium-87 is 6 x 10^10 years. How old is the sample? Is this possible? Why or why not?
Answer:
The age of the sample is \(t \approx 6\times 10^{10}\,yr\). It is possible, since the definition of half-life is the time taken by the isotope to halve its mass.
Explanation:
All radioactive isotopes decays exponentially, the decay is represented by the following formula:
\(m(t) = m_{o}\cdot e^{-\frac{t}{\tau} }\) (1)
Where:
\(m_{o}\) - Initial mass of the isotope, measured in grams.
\(m(t)\) - Current mass of the isotope, measured in grams.
\(t\) - Time, measured in years.
\(\tau\) - Time constant, measured in years.
Now we clear the time of the isotope within the formula:
\(t = -\tau\cdot \ln \frac{m(t)}{m_{o}}\)
In addtion, the time constant can be calculated in terms of the half-life (\(t_{1/2}\)), measured in years:
\(\tau = \frac{t_{1/2}}{\ln 2}\) (2)
If we know that \(m_{o} = 2.5\,g\), \(m(t) = 1.25\,g\) and \(t_{1/2} = 6\times 10^{10}\,yr\), then the age of the isotope is:
\(\tau = \frac{6\times 10^{10}\,yr}{\ln 2}\)
\(\tau \approx 8.656\times 10^{10}\,yr\)
\(t = -(8.656\times 10^{10}\,yr)\cdot \ln \frac{1.25\,g}{2.5\,g}\)
\(t \approx 6\times 10^{10}\,yr\)
The age of the sample is \(t \approx 6\times 10^{10}\,yr\). It is possible, since the definition of half-life is the time taken by the isotope to halve its mass.
Which phrase describes properties of a solid?
O A. Changing shape and fixed volume
B. Changing shape and volume
c. Fixed shape and volume
D. Fixed shape and changing volume
Please help I’ll give brainlist jut fast please!!!
Answer: fixed shape and volume
Explanation:
i took the quiz so its right