First, we compose the reaction equation.
K2CO3 + 2HNO3 = 2KNO3 + H2O + CO2.
Next, we find the amount of nitric acid substance, for this we use the following formula.
n = m / M.
Where n is the amount of substance.
m is the mass of the substance.
M is the molar mass of the substance.
n (HNO3) = 200 ÷ 63 = 3.17 mol.
Next, we make up the proportion.
3.17 mol HNO3 – х mol СО2.
2 mol HNO3 – 1 mol CO2.
We find the amount of substance carbon dioxide.
x = 3.17 mol × 1 mol ÷ 2 mol = 1.585 mol CO2.
Next, we find the volume of CO2 using the following formula.
n = V / Vm.
V = n × Vm.
V (CO2) = 1.585 mol × 22.4 l / mol = 35.5 l.
Answer: This means that the volume of carbon dioxide is 35.5 liters.
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