Question

How much work should be done in decreasing the volume of an ideal gas by an amount of $2.4\times {10}^{-4}{\text{m}}^3$ at normal temperature and constant pressure of $1\times {10}^5{\text{N/m}}^2$ ?

• A. $28\text{J}$
• B. $27\text{J}$
• C. $25\text{J}$
• D. $24\text{J}$

Answer 1

The correct option is D $24\text{J}$

Given,
Constant pressure, $\left(P\right)=1\times {10}^5{\text{N/m}}^2$
Change in volume, $\left(\Delta V\right)=V_2-V_1=2.4\times {10}^{-4}{\text{m}}^3$
At constant pressure, work done is given by
$W=P\Delta V$
$\Rightarrow W=2.4\times {10}^{-4}\times 1\times {10}^5=24\text{J}$
Thus, option (d) is the correct answer.