Calculate the volume of carbon dioxide that is formed as a result of the interaction of the potassium

Calculate the volume of carbon dioxide that is formed as a result of the interaction of the potassium carbonate solution with 196 g of sulfuric acid solution.

Given:

m (H2SO4) = 196 g

To find:

V (CO2) -?

Decision:

K2CO3 + H2SO4 = K2SO4 + CO2 + H2O, – we solve the problem based on the composed reaction equation:

1) we find the amount of sulfuric acid that has reacted:

n (H2SO4) = m: M = 196 g: 98 g / mol = 2 mol

2) we compose a logical expression:

If 1 mole of H2SO4 gives 1 mole of CO2,

then 2 mol H2SO4 gives x mol CO2,

then x = 2 mol.

3) we find the volume of carbon dioxide released during the reaction:

V (CO2) = n * Vm = 2 mol * 22.4 l / mol = 44.8 l.

Answer: V (CO2) = 44.8 liters.