Question

The volume of a given mass of a gas at $27^{\circ }C,1atm$ is $100cc.$ What will be its volume at $327^{\circ }C$ ?

• A. 200 cc
• B. 150 cc
• C. 300 cc
• D. 100 cc

Answer 1

Answer: (A)

We have to convert the given temperatures in kelvin. If pressure of a given mass of the gas is kept constant, then $V\propto T$
$\Rightarrow \frac{V}{T}=$ constant $$\begin{gathered} \left[V=\text{ Volume of gas} \\ T=\text{ Temperature of gas }\right] \end{gathered}$$
$\Rightarrow \frac{V_1}{T_1}=\frac{V_2}{T_2}$
$\Rightarrow V_2=V_1\left(\frac{T_2}{T_1}\right)$
Here we must convert the given temperature in kelvin.
$T_1=273+27=300K$
$T_2=273+327=600K$
But $V_1=100cc$
$V_2=V_1\left(\frac{600}{300}\right)$
$\Rightarrow V_2=2V_1$
$\therefore V_2=2\times 100=200cc$