Firstly, according to Ideal Gas Law the volume of 1 mole of a gas at Standard Temperature and Pressure (STP) is 22.4 [tex] dm^{3} [/tex], ie the value of the molar volume (Vm) is 22.4 [tex] dm^{3} [/tex]/mol.
[tex]CaCO_{3} = CaO + CO_{2} [/tex]
From the reaction, it can be seen that [tex]CaCO_{3} [/tex] and [tex]CO_{2} [/tex] have the following amount of substance relationship:
[tex]n(CaCO_{3}) = n(CO_{2}) = 1:1[/tex]
From the relationship we can determinate moles of [tex]CO_{2} [/tex] :
[tex]n(CaCO_{3}) = n(CO_{2}) = n/M= 14.1/100=0.141 moles[/tex]
Finally, we can calculate the volume of formed CO2:
V([tex]CO_{2} [/tex] )=nxVm=0.141x22.4=3.16 [tex] dm^{3} [/tex]
