Question

A gaseous system expands from volume V1 to V2 under isobaric conditions.

Calculate the work done in this process.

Answer 1

use simple formula for this : P∆V
From this u get answer as P(V2-V1).

Answer 2

$\boldsymbol{W}=\boldsymbol{P}\left(\mathbf{V}_{2}-\mathbf{V}_{\mathbf{1}}\right)$

Explanation:

From the Carnot's cycle, it is known that at constant pressure the work done can be written mathematically as

$W=P \Delta V$

Here, W is the work done; P is the constant pressure; and $\Delta V$ is the change in gas volume.

The basic rules of thermodynamics stated that, the work done W will be positive and if the system does work and W will be negative, if the work done on the system.  

In this case, the gaseous system is getting expanded, that means that the system does the work so W will be positive.

As the gas expands to volume $V_2$ from volume $V_1$, $V_2 > V_1$.

So,

$W=P\left(\mathrm{V}_{2}-\mathrm{V}_{1}\right)$