Find the temperature in degree Celsius if volume and pressure of 2 mole ideal gas is $20 \mathrm{dm}^3$ and…
Find the temperature in degree Celsius if volume and pressure of 2 mole ideal gas is $20 \mathrm{dm}^3$ and 4.926 atmospheres respectively.
$\left(\mathrm{R}=0.0821 \mathrm{dm}^3 \mathrm{~atm} \mathrm{~K} \mathrm{mol}^{-1}\right)$
$273$
$327$
$600$
$453$
Solution
According to ideal gas equation,
$\begin{aligned}
\mathrm{PV} & =\mathrm{nRT} \\
\therefore \quad \mathrm{T} & =\frac{\mathrm{PV}}{\mathrm{nR}}=\frac{4.926 \times 20}{12 \times 0.0821} \\
\mathrm{~T} & =600 \mathrm{~K}
\end{aligned}$
Temp. in ${ }^{\circ} \mathrm{C}=600-273=327^{\circ} \mathrm{C}$