Chemistry : asked on towlesam
 22.06.2020

What is the volume of 50.2 g CO2 has at STP

. 4

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Chemistry
Step-by-step answer
P Answered by PhD

139.18 g.

Explanation:

For the balanced equation:

CH₄(g) + 2O₂(g) → CO₂(g) + 2H₂O(l),

It is clear that 1 mol of CH₄ react with 2 mol of O₂ to produce 1 mol of CO₂ and 2 mol of H₂O.

Firstly, we need to calculate the no. of moles of 50.6 g of CH₄:

no. of moles of CH₄ = mass/molar mass = (50.6 g)/(16.0 g/mol) = 3.1625 mol.

Using cross-multiplication:

1.0 mol of CH₄(g) produces → 1.0 mol of CO₂, from stichiometry.

∴ 3.1625 mol of CH₄(g) produces → 3.1625 mol of CO₂.

∴ The no. of grams of CO₂ produced = (no. of moles of CO₂)(molar mass of CO₂) = (3.1625 mol)(44.01 g/mol) = 139.18 g.

Chemistry
Step-by-step answer
P Answered by PhD

139.18 g.

Explanation:

For the balanced equation:

CH₄(g) + 2O₂(g) → CO₂(g) + 2H₂O(l),

It is clear that 1 mol of CH₄ react with 2 mol of O₂ to produce 1 mol of CO₂ and 2 mol of H₂O.

Firstly, we need to calculate the no. of moles of 50.6 g of CH₄:

no. of moles of CH₄ = mass/molar mass = (50.6 g)/(16.0 g/mol) = 3.1625 mol.

Using cross-multiplication:

1.0 mol of CH₄(g) produces → 1.0 mol of CO₂, from stichiometry.

∴ 3.1625 mol of CH₄(g) produces → 3.1625 mol of CO₂.

∴ The no. of grams of CO₂ produced = (no. of moles of CO₂)(molar mass of CO₂) = (3.1625 mol)(44.01 g/mol) = 139.18 g.

Chemistry
Step-by-step answer
P Answered by PhD

HCl is the limiting reactant and the theoretical yield is 2.72 g of CO2. If the actual yield was 2.50 g then, the percent yield is 92.0% when rounding off is done only for the final answer.  

Further Explanation:

In order to determine the theoretical yield and the percent yield of CO2, the following steps must be done:

Determine the limiting reactant. This is the reactant that will determine the amount of CO2 that will actually form. Determine the theoretical yield for CO2 when the limiting reactant is used.Get the percent yield by getting the ratio of the actual yield stated in the problem and the calculated theoretical yield multiplied by 100.

Determining the Limiting Reactant

The Limiting Reactant (LR) will produce fewer moles of the products. To check  which of the reactants HCl or CaCO3 is the LR, we do dimensional analysis:

For HCl:

moles\ CO_{2}\ = (4.50\ g\ HCl)\(\frac{1\ mol\ HCl}{36.46094\ g})( \frac{1\ mol\ CO_{2} }{2\ mol\ HCl}) \\moles\ CO_{2}\ =\ 0.0617098

For CaCO3:

moles\ of\ CO_{2}\ = (15.00\ g\ CaCO_{3})\ (\frac{1\ mol\ CaCO_{3} }{100.0869\ g\ CaCO_{3} })\ (\frac{1\ mol\ CO_{2} }{1\ mol\ CaCO_{3} })\\moles\ of\ CO_{2}\ = \ 0.1499

Since HCl produces fewer moles of CO2, then it is the limiting reactant. We will use the given amount to determine the theoretical yield for CO2.

Determining the Theoretical Yield

From Step 1, we know that 0.0617098 moles of CO2 will be produced. We will just convert this to grams.

grams\ CO_{2}\ =\ (0.0617098\ mol\ CO_{2})  (\frac{44.01\ g\ CO_{2}}{1\ mol\ CO_{2}})\\grams\ CO_{2}\ =\ 2.71585

Since the answer only requires 3 significant figures, the final answer is 2.72 grams CO2.

Determining the Percent Yield

Dividing the actual yield by the theoretical yield will give us the percent yield, which is an indicator of how efficient the experiment or the method used was.

From the problem, the actual yield was 2.50 g, hence, the percent yield is:

percent\ yield\ of\ CO_{2}\ = (\frac{2.50\ g}{2.71585\ g}) (100)\\percent\ yield\ of\ CO_{2}\ = 92.05221

Rounding off to three significant figures, the percent yield is 92.0%. This suggests that the method used is somewhat efficient in producing CO2.

Learn More

Learn More about Limiting Reactant link Learn More about Excess Reactant link  Learn More about Stoichiometry link

Keywords: stoichiometry, theoretical yield, actual yield

Chemistry
Step-by-step answer
P Answered by PhD

Explanation:

Pair A:

nitrogen

Moles of oxygen:

Number of moles = mass/ molar mass

Number of moles = 2.50 g/ 32 g/mol

Number of moles = 0.08 mol

Moles of nitrogen:

Number of moles = mass/ molar mass

Number of moles = 2.50 g/ 28 g/mol

Number of moles = 0.09 mol

Pair B:

nitrogen

Moles of nitrogen:

Number of moles = mass/ molar mass

Number of moles = 21.50 g/ 28 g/mol

Number of moles = 0.77 mol

Moles of carbon dioxide:

Number of moles = mass/ molar mass

Number of moles = 15.2 g/ 44 g/mol

Number of moles = 0.341 mol

Pair C:

Both have same number of moles.

Moles of oxygen:

Number of moles = mass/ molar mass

Number of moles = 0.054 g/ 32 g/mol

Number of moles = 0.002 mol

Moles of carbon dioxide:

Number of moles = mass/ molar mass

Number of moles = 0.081 g/ 44 g/mol

Number of moles = 0.002 mol

Chemistry
Step-by-step answer
P Answered by PhD
The pressure is 17.97 atm; [P + a(\frac{n}{V}) ^{2}](V-nb) = nRT; [P + 3.59 atm·L²mol⁻²(\frac{2.50 mol}{5.00 \text L}) ^{2}](5.00 L - 2.50 mol × 0.0427 mol·L⁻¹) = 2.50 mol × 0.08206 L·atm·K⁻¹mol⁻¹ × 450 K; (P + 0.898 atm)(5.00 L - 0.107 L) = 92.3 L·atm; (P + 0.898 atm)(4.89) = 92.3 atm; P + 0.898 atm = \frac{92.8 atm}{4.89} = 18.87 atm; P = 18.87 atm - 0.898 atm = 17.97 atm
Chemistry
Step-by-step answer
P Answered by PhD

HCl is the limiting reactant and the theoretical yield is 2.72 g of CO2. If the actual yield was 2.50 g then, the percent yield is 92.0% when rounding off is done only for the final answer.  

Further Explanation:

In order to determine the theoretical yield and the percent yield of CO2, the following steps must be done:

Determine the limiting reactant. This is the reactant that will determine the amount of CO2 that will actually form. Determine the theoretical yield for CO2 when the limiting reactant is used.Get the percent yield by getting the ratio of the actual yield stated in the problem and the calculated theoretical yield multiplied by 100.

Determining the Limiting Reactant

The Limiting Reactant (LR) will produce fewer moles of the products. To check  which of the reactants HCl or CaCO3 is the LR, we do dimensional analysis:

For HCl:

moles\ CO_{2}\ = (4.50\ g\ HCl)\(\frac{1\ mol\ HCl}{36.46094\ g})( \frac{1\ mol\ CO_{2} }{2\ mol\ HCl}) \\moles\ CO_{2}\ =\ 0.0617098

For CaCO3:

moles\ of\ CO_{2}\ = (15.00\ g\ CaCO_{3})\ (\frac{1\ mol\ CaCO_{3} }{100.0869\ g\ CaCO_{3} })\ (\frac{1\ mol\ CO_{2} }{1\ mol\ CaCO_{3} })\\moles\ of\ CO_{2}\ = \ 0.1499

Since HCl produces fewer moles of CO2, then it is the limiting reactant. We will use the given amount to determine the theoretical yield for CO2.

Determining the Theoretical Yield

From Step 1, we know that 0.0617098 moles of CO2 will be produced. We will just convert this to grams.

grams\ CO_{2}\ =\ (0.0617098\ mol\ CO_{2})  (\frac{44.01\ g\ CO_{2}}{1\ mol\ CO_{2}})\\grams\ CO_{2}\ =\ 2.71585

Since the answer only requires 3 significant figures, the final answer is 2.72 grams CO2.

Determining the Percent Yield

Dividing the actual yield by the theoretical yield will give us the percent yield, which is an indicator of how efficient the experiment or the method used was.

From the problem, the actual yield was 2.50 g, hence, the percent yield is:

percent\ yield\ of\ CO_{2}\ = (\frac{2.50\ g}{2.71585\ g}) (100)\\percent\ yield\ of\ CO_{2}\ = 92.05221

Rounding off to three significant figures, the percent yield is 92.0%. This suggests that the method used is somewhat efficient in producing CO2.

Learn More

Learn More about Limiting Reactant link Learn More about Excess Reactant link  Learn More about Stoichiometry link

Keywords: stoichiometry, theoretical yield, actual yield

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