you need to make an aqueous solution of 0.180 m potassium sulfide for an experiment in lab, using a 300 ml volumetric flask. how much solid potassium sulfide should you add?
4.2228 g of solid potassium sulfide should be added to make an aqueous solution of 0.180 M potassium sulfide for an experiment in lab, using a 300 ml volumetric flask.
The given molarity of the aqueous solution of potassium sulfide is 0.180 M and the volume of the solution is 300 mL. We are required to find out the amount of solid potassium sulfide required to make the solution.
The formula to calculate the number of moles is: Number of moles = Molarity x Volume (in liters) 1. Convert the volume into liters.300 mL = 0.3 L2. Substitute the given values in the above formula.Number of moles = 0.180 M x 0.3 LNumber of moles = 0.054 mol3. The molecular formula of potassium sulfide is K2S. It means there are two moles of K for one mole of K2S. Hence, we can calculate the moles of K.Number of moles of K = 2 x 0.054
Number of moles of K = 0.108 mol4. The molar mass of K is 39.1 g/mol. Hence, we can calculate the mass of K required to make 0.108 mol.Number of grams of K = Number of moles x Molar massNumber of grams of K = 0.108 mol x 39.1 g/mol
Number of grams of K = 4.2228 g. Hence, 4.2228 g of solid potassium sulfide should be added to make an aqueous solution of 0.180 M potassium sulfide for an experiment in lab, using a 300 ml volumetric flask.
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Use the formula to answer the following question4Li + Pb(SO4)2->2Li₂SO4 + PbHow many moles of Pb(SO4)2 are needed to produce 330 g Li₂SO4?
ANSWER
The number of moles of Pb(SO4)2 is 1.5 moles
EXPLANATION
Given that;
The mass of Li2SO4 is 330g
Follow the steps below to find the moles of Pb(SO4)2
Step 1; Write the balanced equation of the reaction
\(\text{ 4Li + Pb\lparen SO}_4)_2\rightarrow\text{ 2Li}_2SO_4\text{ + Pb}\)Step 2; Find the number of moles of Li2SO4 using the below formula
\(\text{ Mole = }\frac{\text{ mass}}{\text{ molar mass}}\)Recall, that the molar mass of Li2SO4 is 109.94 g/mol
\(\begin{gathered} \text{ mole = }\frac{\text{ 330}}{\text{ 109.94}} \\ \text{ mole = 3.00 moles} \end{gathered}\)The number of moles of Li2SO4 is 3.00 moles
Step 3; Find the number of moles of Pb(SO4)2 using a stoichiometry ratio
In the above equation of the reaction, 1 mole Pb(SO4)2 reacts to give 2 moles LiSO4
Let the number of moles of Pb(SO4) be x
\(\begin{gathered} \text{ 1 mole Pb\lparen SO}_4)_2\text{ }\rightarrow\text{ 2 moles Li}_2\text{SO}_4 \\ \text{ x moles Pb\lparen SO}_4)_2\text{ }\rightarrow\text{ 3.00 moles Li}_2SO_4 \\ \text{ Cross multiply} \\ \text{ 1 mole Pb\lparen SO}_4)_2\text{ }\times\text{ 3 .00 moles Li}_2SO_4\text{ = 2 moles Li}_2SO_4\text{ }\times\text{ x moles Pb\lparen SO}_4)_2 \\ \text{ Isolate x} \\ \text{ x = }\frac{\text{ 1 mole Pb\lparen SO}_4)_2\times3moles\cancel{Li_2}SO_4}{2moles\cancel{Li_2}SO_4} \\ \text{ x = }\frac{1\text{ }\times\text{ 3}}{2} \\ \text{ x = }\frac{3}{2} \\ \text{ x = 1.5 moles} \end{gathered}\)Therefore, the number of moles of Pb(SO4)2 is 1.5 moles
Please help with my chemistry homework
Answer:
amu, atomic number, electrons, atomic mass
Explanation:
HELP
Coral reefs support more species per unit area than any other marine
environment on Earth. How do coral reefs contribute to the overall health of
the biosphere?
A. They support a high number of tourists each year.
B. They prevent global warming.
C. They carry out a high rate of nutrient recycling.
D. They increase the chances of an extreme disturbance.
which statement regarding the acid-base characteristics of the 20 common amino acids is false?a.they can act as buffers.b.each has three pka values.c.they generally exist as zwitterions at physiological ph.d.they have a characteristic isoelectric point.
The correct answer is
Option C.
they generally exist as zwitterions at physiological ph.
What is zwitterions ?
A zwitterion, also known as an inner salt or a dipolar ion, is a molecule that has an equal number of positively and negatively charged functional groups. The word "zwitterion" comes from the German word "hermaphrodite" (tsvt). [2] A chemical equilibrium will be created between the "parent" molecule and the zwitterion in a solution of amino acids, for instance.
Because the positive charge is on a quaternary ammonium group, betaines are zwitterions that cannot isomerize to an all-neutral form. A molecule with both a carboxylate group and a phosphonium group cannot isomerize, either.
The amino acid is the basic building block of proteins, consisting of a carboxyl, an amino, and a variable R-group. The R-group in amino acids is what makes them unique. The condensation reaction between the carboxyl group of one amino acid and the amino group of another amino acid results in the formation of a peptide bond between the two amino acids.
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Describe an approach for identifying an unknown mineral with as few steps as
possible.
These charts typically guide you through a series of questions based on the physical and chemical properties of the mineral, such as color, hardness, cleavage, and reaction to acid.
By answering each question, you can narrow down the possibilities and eventually identify the mineral. Another helpful tool is a handheld mineral identification kit, which includes common minerals and their properties for comparison to the unknown mineral. Observe the physical properties of the mineral, such as color, luster, hardness, cleavage, and fracture, using a magnifying glass or a microscope.
Test the mineral's hardness using a mineral hardness scale, such as Mohs scale, which ranks minerals based on their ability to scratch one another.Test the mineral's streak, which is the color of the powdered mineral, by rubbing the mineral against an unglazed porcelain plate.
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7. A balloon contains 39.4 mL of gas at a pressure of 741 torr. If the temperature does not
change, what is the volume of the gas at a pressure of 862 torr?
Answer:
34.0 mL.
Explanation:
The volume of a gas at constant temperature is inversely proportional to the pressure. We can use this relationship to find the new volume. Using the formula:
\(\sf:\implies{V1 \times P1 = V2 \times P2}\)
where V1 and P1 are the initial volume and pressure, and V2 and P2 are the final volume and pressure, respectively.
Plugging in the given values, we get:
\(\sf:\implies{V2 = V1 \times P1 / P2 = 39.4 mL}\)
\(\sf:\implies{39.4 mL \times 741 torr / 862 torr = 34.0 mL}\)
So, the volume of the gas at a pressure of 862 torr is 34.0 mL.
HELP ASAP
2. A balloon full of air has a volume of 2.75 L at a temperature of 18°C. What is the balloon's volume
at 45°C?
Answer:
3.01 L
Explanation:
V
1
: 2.75L
T
1
:
18
∘
C
V
2
: ?
T
2
:
45
∘
C
If you know your gas laws, you have to utilize a certain gas law called Charles' Law:
V
1
T
1
=
V
2
T
2
V
1
is the initial volume,
T
1
is initial temperature,
V
2
is final volume,
T
2
is final temperature.
Remember to convert Celsius values to Kelvin whenever you are dealing with gas problems. This can be done by adding 273 to whatever value in Celsius you have.
Normally in these types of problems (gas law problems), you are given all the variables but one to solve. In this case, the full setup would look like this:
2.75
291
=
V
2
318
By cross multiplying, we have...
291
V
2
= 874.5
Dividing both sides by 291 to isolate
V
2
, we get...
V
2
= 3.005...
In my school, we learnt that we use the Kelvin value in temperature to count significant figures, so in this case, the answer should have 3 sigfigs.
Therefore,
V
2
= 3.01 L
Calculate the volume of oxygen that was in excess. if 150cm³ of carbon(11) oxide burns in 80cm³of oxygen according to the following equation 2CO + O2 =2CO.
If 150cm³ of carbon(11) oxide burns in 80cm³of oxygen according to the given equation the volume of oxygen that was in excess is 5.6 cm³.
From the balanced equation, we can see that 2 moles of CO react with 1 mole of O2. Therefore, we need to determine how much O2 is required to react with 150 cm³ of CO.
Let's start by calculating the number of moles of CO:
n(CO) = V(CO) / molar volume at STP
= 150 cm³ / 22.4 L/mol
= 0.006696 mol
Since the stoichiometric ratio of equation of CO to O2 is 2:1, we need half as many moles of O2 as CO. Therefore, the number of moles of O2 required is:
n(O2) = 1/2 * n(CO)
= 1/2 * 0.006696 mol
= 0.003348 mol
Now we can calculate the volume of oxygen required using the ideal gas law:
PV = nRT
Assuming the temperature and pressure are constant, we can simplify this to:
V = n(RT/P)
where V is the volume of gas in liters, n is the number of moles of gas, R is the ideal gas constant, T is the temperature in Kelvin, and P is the pressure in atmospheres.
At STP, the temperature is 273 K and the pressure is 1 atm. Therefore:
V(O2) = n(O2)(RT/P)
= 0.003348 mol * (0.0821 L·atm/mol·K * 273 K / 1 atm)
= 0.0744 L
= 74.4 cm³
So the volume of oxygen required to react with 150 cm³ of CO is 74.4 cm³. Since the initial volume of O2 was 80 cm³, the volume of O2 in excess is:
V(excess) = V(initial) - V(required)
= 80 cm³ - 74.4 cm³
= 5.6 cm³
Therefore, the volume of oxygen that was in excess is 5.6 cm³.
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You have 550mL of 7M solution HCI and you want to make 3L of diluted solution, what will the new concentration be?
According to the molar concentration, if you have 550 ml of 7 M solution HCI and you want to make 3 L of diluted solution,the new concentration will be 1.28 M.
What is molar concentration?Molar concentration is defined as a measure by which concentration of chemical substances present in a solution are determined. It is defined in particular reference to solute concentration in a solution . Most commonly used unit for molar concentration is moles/liter.
The molar concentration depends on change in volume of the solution which is mainly due to thermal expansion. Molar concentration is calculated by the formula, molar concentration=mass/ molar mass ×1/volume of solution in liters.In case of two solutions it is calculated as, M₁V₁=M₂V₂ on substitution gives M₂=7×550/3000=1.28 M.
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1) How many molecules of K2CrO4 are in 0.6 moles?
2) How many atoms of K are in 0.6 moles of K2CrO4?
3) You dilute 0.5 mol of NaOH to form 2 L of solution. What is the Molarity of that solution?
4) You dissolve 50 g of sugar to make 250 g of sugar water. What is the percent by mass?
5) A 2 L bottle of 5% vinegar has how much vinegar by volume?
Given the various data from the question, the answers to each question is given below:
1. How to determine the number of moleculesAvogadro's hypothesis
1 mole of K₂CrO₄ = 6.02×10²³ molecules
Therefore,
0.6 mole of K₂CrO₄ = 0.6 × 6.02×10²³
0.6 mole of K₂CrO₄ = 3.612×10²³ molecules
2. How to determine the number of atoms1 mole of K₂CrO₄ contains 2 moles of K.
Therefore,
0.6 mole of K₂CrO₄ will contain = 0.6 × 2 = 1.2 mole of K
From Avogadro's hypothesis,
1 mole of K = 6.02×10²³ atoms
Therefore,
1.2 mole of K = 1.2 × 6.02×10²³
1.2 mole of K = 7.224×10²³ atoms
Therefore, we can say that
0.6 mole of K₂CrO₄ = 7.224×10²³ atoms of K
3. How to determine the molarityMolarity is defined as:
Molarity = mole / Volume
From the question given above, we obtained the following:
Mole = 0.5 mole Volume = 2 LMolarity =?Molarity = mole / Volume
Molarity = 0.5 / 2
Molarity = 0.25 M
4. How to determine the volumeFrom the question given above, the following data were obtained:
Mass of solute = 50 gMass of solution = 250 gPercentage of sugar =?Percentage = (mass of solute / mass of solution) × 100
Percentage of sugar = (50 / 250) × 100
Percentage of sugar = 20%
5. How to determine the volumeTotal volume = 2 L
Percentage of vinegar = 5%
Volume of vinegar =?
Volume = percent × total volume
Volume of vinegar = 5% × 2
Volume of vinegar = 0.1 L
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What element is classified as an alkali metal?
Answer: Lithium is correct.
Answer:
hydrogen, lithium, sodium, potassium, rubidium, cesium, and francium
Explanation:
Any element in the first colon (group 1) of the periodic table is classified as alkali metal
Gases ___ out and fill their container completely
Answer: Gases have the lowest density of the three, are highly compressible, and completely fill any container in which they are placed. Gases behave this way because their intermolecular forces are relatively weak, so their molecules are constantly moving independently of the other molecules present. Solids, in contrast, are relatively dense, rigid, and incompressible because their intermolecular forces are so strong that the molecules are essentially locked in place.
Explanation:
Calculate the Molarity when 14.6 g Ethanol (C2H5OH) is dissolved in a 2.10 L solution.
Which transition metals usually form only one monatomic cation? select all that apply.
Zn, Cd, and Ag are transition metals that usually form only one monoatomic cation.
A monatomic cation is a cation made of only one atom.
Cations are positively charged ions, in this example Ag⁺, Cd²⁺ and Zn²⁺.
These cations form only one type of ion, while iron and copper form more than one type of cations.
Iron and copper form cations with different charges (Fe²⁺, Fe³⁺, Cu⁺, Cu²⁺).
It depends on electron configuration which type would be formed.
Electron configuration of zinc atom: ₃₀Zn 1s² 2s² 2p⁶ 3s² 3p⁶ 3d¹⁰ 4s²
Transition metals are elements in the d-block of the Periodic table.
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The amount of energy required to change 20g of H₂0 to steam is +50 kJ. Calculate the standard heat of vapourization.
The standard heat of vaporization of H₂0 is +2.5 kJ/g.
What is standard heat?The standard heat of formation of a compound is described as the change of enthalpy during the formation of 1 mole of the substance from its constituent elements in their reference state, with all substances in their standard states.
To calculate it, we need to divide the total energy required to change the 20g of H₂0 to steam by the amount of substance being vaporized.
The amount is 20 g
the total energy required = 50kj
Therefore the standard heat of vaporization of H₂0 is 20/50 = +2.5 kJ/g
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The pharmacy stocks nitroglycerin 2% ointment. How many grams of this ointment should be mixed with an ointment base to obtain 100 grams of an ointment with a concentration of 0.2% ? (round answer to nearest whole number, if needed) Your Answer:
1000 grams of nitroglycerin 2% ointment should be mixed with the ointment base to obtain 100 grams of an ointment with a concentration of 0.2%.
To determine the amount of nitroglycerin 2% ointment needed to mix with an ointment base to obtain 100 grams of an ointment with a concentration of 0.2%, we can use the concept of a proportion.
Let's set up the proportion:
(grams of nitroglycerin 2% ointment) / 2% = 100 grams / 0.2%
To solve for the grams of nitroglycerin 2% ointment, we can cross-multiply and then divide:
(grams of nitroglycerin 2% ointment) = (2% / 0.2%) * 100 grams
Calculating the right side of the equation:
(grams of nitroglycerin 2% ointment) = (2 / 0.2) * 100 grams
= 10 * 100 grams
= 1000 grams
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What is the frequency of radiation whose wavelength is 2.40×10
Answer:
24
Explanation:
2.40*10=24.0
What is the meaning of overfishing?
Explanation:
Overfishing is the removal of a species of fish from a body of water at a rate that the species cannot replenish, resulting in those species becoming underpopulated in that area.
Suppose you found this bright purple mineral how would you describe its luster
Answer:
mineral
Explanation:
explain why increasing temperature can increase the rate of an enzymatic reaction up to a certain temperature, but above that increasing temperature reduces the rate of the reaction
The rate of an enzyme-catalyzed reaction increases as the temperature rises, as it does with many other chemical reactions. High temperatures, however, cause the enzyme to become denatured and cease functioning, which causes the rate to decline once more.
How does temperature affect enzyme-catalyzed reaction?The rate at which a substrate is consumed or at which a product is generated is used to determine the rate of an enzyme-catalyzed reaction.The rate of an enzyme-catalyzed reaction increases as the temperature rises, as it does with many other chemical reactions. High temperatures, however, cause the enzyme to become denatured and cease functioning, which causes the rate to decline once more.The rate of enzyme activity increases along with the temperature. The enzyme's optimal temperature results in maximum activity. As the temperature rises, the structure of the enzyme's active site changes, causing a significant drop in activity. It's been denatured now.To learn more about enzyme-catalyzed reaction, refer to
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A) 2 and 3 only
B) 1 and 4 only
C) 2,3,4 only
D) all of the above
choose one correct answer
Answer:
D
\( \: \: \: \: \)
Consider the equation for the formation of water. 2h2 o2 2h2o what is the theoretical yield of h2o if 130 g of h2o is produced from 18 g of h2 and an excess of o2? 18 g 81 g 130 g 160 g
The theoretical yield of 18 gram of \(H_{2}\) is 162 gram of \(H_{2} O\) .
The amount of a product produced by a reaction is generally expressed as a percentage of the reaction's yield. The amount of product that stoichiometry predicts is known as the theoretical yield, but the amount that would be actually achieved is known as the actual yield.
The balanced chemical equation is :
\(2H_{2} +O_{2}\) → \(2H_{2} O\)
It is known that the molar mass of water is 18 gram /mol and 2 gram per mole of \(H_{2}\).
18g \(H_{2}\) (1 mol \(H_{2}\) (/2 g \(H_{2}\) ()(2 mol \(H_{2} O\) / 2 mol \(H_{2}\) ()(18 g \(H_{2} O\) /1 mol \(H_{2} O\) ) = 162 g \(H_{2} O\) .
Theoretical yield will be 162 gram.
So, the theoretical yield of 18 gram of \(H_{2}\) is 162 gram of \(H_{2} O\) .
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Carmen has a sample of matter. It is clear and smells sour. The sample is also thick but it flows when poured.
Carmen has a sample of matter. It is clear and smells sour. The sample is also thick but it flows when poured.
Which is the best conclusion about Carmen’s sample?
It is a liquid because it is clear.
It is a liquid because it flows.
It is a solid because it is thick.
It is a solid because it smells sour.
Answer:
Explanation:
Answer:
Its a liquid cause it flows
Explanation:
think about it none of the others make sense ice is a solid and its clear
something like a wall can be thick but it doesn't flow
The weak ionization constant (Ka)for HCO3 is equal to:AB[H3O+][CO32- ](HCO3-)[HCO3 -[H3O+][CO32-]
Answer
A
\(\frac{\lbrack H_3O^+\rbrack)(\lbrack C(O_3)^2\rbrack}{\lbrack HCO_3^-\rbrack}\)Explanation
The ionization of HCO₃⁻ in H₂O is:
\(HCO₃⁻+H₂O\rightleftarrows H_3O^++CO₃^{2-}\)The general ionization constant, Ka is given as:
\(Ka=\frac{\lbrack Products\rbrack}{\lbrack Reactants\rbrack}\)Hence, the ionization (Ka) of HCO₃⁻ is equal to:
\(\frac{\lbrack H_3O^+\rbrack\lbrack CO_3^{2-}\rbrack}{\lbrack HCO_3^-\rbrack}\)Option A is the correct answer.
Why can the liquid metal be poured into a block shaped mold?
Answer:
Metal casting makes use of the way solids can melt into liquids and freeze back into solids.
Which of the following statements are true? Select all that apply
a barometer measures atmospheric pressure
a barometer measures the pressure of a gas in a sealed container
we breathe in carbon dioxide, which becomes dissolved in our blood to be delivered to cells
The statements that are true are as follows: a barometer measures the atmospheric pressure we breathe in carbon dioxide, which becomes dissolved in our blood to be delivered to cells.
A barometer is a device that is used to calculate atmospheric pressure. It works by measuring the pressure exerted by the Earth's atmosphere on the mercury in a glass tube. Atmospheric pressure is the weight of the atmosphere on the surface of the Earth, and it varies depending on the altitude and weather conditions. What is the gas we breathe in? The gas we breathe in is oxygen. We take in oxygen and release carbon dioxide when we breathe. Carbon dioxide is a byproduct of our body's metabolic processes, and it is transported in our blood to the lungs, where it is released from the body when we exhale. Oxygen, on the other hand, is used by our cells to generate energy through a process known as cellular respiration.
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A 2.50 L container is filled with 175 g of argon; a. If the pressure is 10 atm, what is the temperature ? b if the temperature is 22K, what is the pressure ?
Answer:
A. 70 K
B. 3.16 atm
Explanation:
We'll begin by calculating the number of mole in 175 g of Ar. This can be obtained as follow:
Mass of Ar = 175 g
Molar mass of Ar = 40 g/mol
Mole of Ar =?
Mole = mass / molar mass
Mole of Ar = 175 / 40
Mole of Ar = 4.375 moles
A. Determination of the temperature.
Mole of Ar (n) = 4.375 moles
Volume (V) = 2.50 L
Pressure (P) = 10 atm
Gas constant (R) = 0.0821 atm.L/Kmol
Temperature (T) =?
PV = nRT
10 × 2.5 = 4.375 × 0.0821 × T
25 = 4.375 × 0.0821 × T
Divide both side by (4.375 × 0.0821)
T = 25 / (4.375 × 0.0821)
T ≈ 70 K
B. Determination of the pressure.
Mole of Ar (n) = 4.375 moles
Volume (V) = 2.50 L
Temperature (T) = 22 K
Gas constant (R) = 0.0821 atm.L/Kmol
Pressure (P) =?
PV = nRT
P × 2.5 = 4.375 × 0.0821 × 22
Divide both side by 2.5
P = (4.375 × 0.0821 × 22) / 2.5
P = 3.16 atm.
hydrogen gas is produced by the reaction between metallic aluminum and aqueous hydrochloric acid. 2al(s) 6hcl(aq)⟶2alcl3(aq) 3h2(g) the hydrogen gas produced by this reaction is typically collected via water displacement. during this process, the hydrogen gas becomes saturated with water vapor. if 292.6 ml of gas with a total pressure of 1.44 atm is collected via water displacement at 29.4 ∘c , what is the partial pressure of the hydrogen gas in the sample? the vapor pressure of water at 29.4 ∘c is 30.75 torr. Ph2
(a) - 1.39 atm is the partial pressure of the hydrogen gas in the sample
(b) - 0.219 g many grams of aluminum must have reached to produce this quantity of hydrogen gas.
What exactly is the partial pressure law?According to Dalton's Law, often known as the Legislation of Partial Pressures, the combined pressure of a mix of gas is equal to the product of their individual partial pressures.
Briefing:(a)The partial pressure of hydrogen gas and the vapour pressure of water are added to determine the total pressure of the gas mixture.
PT = Pw + PH
Water has a vapour pressure of atm.
Pw = (30.75 torr)(1.00 atm) / 760 torr
Pw = 0.0405 atm
The hydrogen gas pressure is
PH = PT - Pw
PH = 1.44 atm - 0.0405 atm
PH = 1.39 atm
(b) The amount of hydrogen gas in moles is
n = PV / RT
n = (1.39 atm) (0.2384 L) / 0.82057 atm L / mol K (302.6 K)
n=0.0122 mol
Aluminum metal and hydrogen gas have a 3:2 molar ratio. The required amount of aluminum metal in moles is
n=0.0122 mol * 2 / 3
n = 0.00813 mol
Aluminum has a molar mass of 26.981538 g/mol. The quantity of aluminum needed is
m = 0.00813 * 26.981538 g/mol
m = 0.219 g
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The complete question is -
Hydrogen gas is produced by the reaction between metallic aluminum and aqueous hydrochloric acid. 2al(s) 6hcl(aq)⟶2alcl3(aq) 3h2(g)
(a)the hydrogen gas produced by this reaction is typically collected via water displacement. during this process, the hydrogen gas becomes saturated with water vapor. if 292.6 ml of gas with a total pressure of 1.44 atm is collected via water displacement at 29.4 ∘c , what is the partial pressure of the hydrogen gas in the sample?
(b)How many grams of aluminum must have reached to produce this quantity of hydrogen gas ? The vapor pressure of water at 29.4 ∘c is 30.75 torr.
i have added 4 l of air to a balloon at sea level (1.0 atm). if i take the balloon with me to the top of mount everest, where the air pressure is 0.30 atm, what will the new volume of the balloon be?
The new volume of the balloon at the top of Mount Everest, where the air pressure is 0.30 atm, will be approximately 13.33 liters.
The new volume of the balloon at the top of Mount Everest, where the air pressure is 0.30 atm, can be determined using Boyle's law. Boyle's law states that the pressure and volume of a gas are inversely proportional,given a constant temperature.
Mathematically, Boyle's law can be expressed as:
P₁V₁ = P₂V₂
Where:
P₁ = Initial pressure (1.0 atm)
V₁ = Initial volume (4 L)
P₂ = Final pressure (0.30 atm)
V₂ = Final volume (unknown)
By substituting the known values into the equation and solving for V₂, we can determine the new volume of the balloon:
(1.0 atm) * (4 L) = (0.30 atm) * V₂
4 L = 0.30 atm * V₂
V₂ = (4 L) / (0.30 atm)
V₂ ≈ 13.33 L. Therefore, the new volume of the balloon at the top of Mount Everest, where the air pressure is 0.30 atm, will be approximately 13.33 liters.
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