Question

$I$. When $1200L$ sample of a gas at $150K$ is compressed to a volume of $4L$, the new temperature will be $4K$.
$II$. $T_2=V_2\left(T_1/V_1\right)$

• A. Statement $I$ is true, Statement $II$ is true
• B. Statement $I$ is true, Statement $II$ is false
• C. Statement $I$ is false, Statement $II$ is true
• D. Statement $I$ is true, Statement $II$ is true and is a correct explanation of the phenomena described in $I$

Answer 1

The correct option is C Statement $I$ is false, Statement $II$ is true

From Charles law,

$\frac{V_1}{T_1}=\frac{V_2}{T_2}$

i.e, $T_2=V_2\times \left(\frac{T_1}{V_1}\right)$

Now, $T_1=150K{V}_1=1200$

$T_2=?V_2=4L$

$T_2=4\times \left(\frac{150}{1200}\right)$

$T_2=0.5K$

$\therefore$ Statement I is false, II is true.