Question

At constant pressure, a sample of helium gas has a volume of 800 ml at ${27}^{o}C$. Calculate the percentage increase in volume, if the temperature is ${127}^{o}C$.

• A. 45%
• B. 33.3%
• C. 66.7%
• D. 100%

Answer 1

The correct option is B 33.3%

$V_1=?;T_1={127}^{o}C=127+273=400K$

$\frac{V}{V_1}=\frac{T}{T_1}$

$\frac{800}{V_1}=\frac{300}{400}$

$V_1=\frac{800\times 4}{3}=\frac{3200}{3}ml$

$\%increaseinvolume$

$=\frac{(V_1-V)}{V}\times 100$

$=\frac{\left(\frac{3200}{3}\right)-800}{800}\times 100$

$=\frac{800}{800\times 3}\times 100=33.3$%