To answer this question, we must use the equation for the volumetric expansion of gases at constant pressure. This equation is given by:
[tex]V=V_{0}(1 + \alpha(T_{2}-T_{1}))[/tex]
We know:
[tex]V_{0}[/tex] is the initial volume [tex]= 0.5 m ^ 3[/tex]
ΔT is the temperature change = 45 ° -20 ° = 25 °
[tex]\alpha[/tex] is the coefficient of gas expansion and is equal to 1/273
Then the final volume of the gas is:
[tex]V=0.5*(1+\frac{1}{273}*25)[/tex]
[tex]V=0.546m^ 3[/tex]
