Question

Determine the volume of carbon dioxide gas that will be produced from 112.5 grams of iron at stp.

Answer 1

Answer:

Write the balanced chemical equation between CaCO3 and CO2:

CaCO3 + 2HCl → CaCl2 + CO2 + H2O

Its well-established that there is a 1:1 relationship between CaCO3 and CO2.

Determine the amount of CaCO3 in moles, Excess of HCl is not a big concern.

Use the molar mass of CaCO3, which is 100 g/mol:

mol CaCO3 = 50 g CaCO3 x 1 mol CaCO3/100 g CaCO3 = 0.5 mol CaCO3

Now, calculate the amount in moles of the produced CO2:

0.5 mol CaCO3 x 1 mol CO2/1 mol CaCO3 = 0.5 mol CO2.

Since CO2 is a gas, we can use the ideal gas equation (PV=nRT) to interconvert between pressure (P), volume (V), mol (n) and temperature (T).

P x V = n x R x T

or, 1 atm x V = 0.5 mol x 0.08206 (L.atm/mol.K) x 273.15

or, V = 11.2 L

else, the problem can be directly solved by the number of moles of CO2 you produced, as under STP conditions, 1 mol of an ideal gas occupies 22.4 L:

0.5 mol * 22.4 L/mol = 11.2 L.

Answer 2

Answer:

Write the balanced chemical equation between CaCO3 and CO2:

CaCO3 + 2HCl → CaCl2 + CO2 + H2O

Its well-established that there is a 1:1 relationship between CaCO3 and CO2.

Determine the amount of CaCO3 in moles, Excess of HCl is not a big concern.

Use the molar mass of CaCO3, which is 100 g/mol:

mol CaCO3 = 50 g CaCO3 x 1 mol CaCO3/100 g CaCO3 = 0.5 mol CaCO3

Now, calculate the amount in moles of the produced CO2:

0.5 mol CaCO3 x 1 mol CO2/1 mol CaCO3 = 0.5 mol CO2.

Since CO2 is a gas, we can use the ideal gas equation (PV=nRT) to interconvert between pressure (P), volume (V), mol (n) and temperature (T).

P x V = n x R x T

or, 1 atm x V = 0.5 mol x 0.08206 (L.atm/mol.K) x 273.15

or, V = 11.2 L

else, the problem can be directly solved by the number of moles of CO2 you produced, as under STP conditions, 1 mol of an ideal gas occupies 22.4 L:

0.5 mol * 22.4 L/mol = 11.2 L.