What volume of carbon dioxide is produced

Question

What volume of carbon dioxide is produced when 39.6 g of calcium carbonate reacts completely according to the following reaction at 25 °C and 1 atm?

calcium carbonate (s) calcium oxide (s) + carbon dioxide(g)

 

___________Liters carbon dioxide

 

Answer 1

Write the reaction:

 

CaCO₃(s) ______  CaO(s)   + CO₂(g)

 

36.1 g

 

according to the balanced equation, 1 mol of CO2 is formed from 1 mol of CaCO3

 

36.1g/100g/mol   = 0.361 mol (FYI: 100 is the molar mass of CaCO3)

 

Thus, from 0.361 mo CaCO3, 0.361 mol of CO2 is produced.

 

Then you can apply ideal gas equation PV = nRT

 

P is pressure, V is volume in Liters, T is temperature in Kelvin, n is the number of moles, and R is a constant which depends on the unit for pressure: use 0.0821 atm.L/mol.K if given in atm, or 8.31 kPa.L/mol.K if given kPa, or 62.4 mmHg.L/mol.K if given mmHg or torr (1 mmHg = 1 torr).

 

To find V, solve the equation

 V = nRT/P

Using the appropriate units for n, R, T and P, your will find V in Liters.