Question

Suppose, at for a gas having constant mass the volume is $V^o$at temperature $0^{o}C$. What would be its final volume at ${100}^{o}C$ if the pressure remains constant?

• A. (283/273)$V_o$
  
• B. (373/273)$V_o$
  
• C. (303/273)$V_o$
  
• D. (293/273)$V_o$
  

Answer 1

The correct option is B (373/273)$V_o$


$T_1=0^{0}C=273K{T}_2={100}^{}C=373K$
Let the initial volume be $V_0$, and the final volume be $V_2$
According to Charles' law.
$\frac{V_1}{V_2}=\frac{T_1}{T_2}\frac{V_0}{V_2}=\frac{273}{373}{V}_2=\frac{373}{273}{V}_0$