Question

Common Data Question: Nitrogen gas (molecular weight $28$) is enclosed in a cylinder by a piston, at the initial condition of $2$ bar, $298$ K and $1m^3$. In a particular process, the gas slowly expands under isothermal condition, until the volume becomes $2m^3$. Heat exchange occurs with the atmosphere at $298K$ during this process.

The work interaction for the nitrogen gas is

• A. $138.6kJ$
• B. $200kJ$
• C. $2kJ$
• D. $-200kJ$

Answer 1

The correct option is A $138.6kJ$

For isothermal process
Work $=p_1{V}_{1}ln\frac{V_2}{V_1}$
$=(2\times {10}^5)\times \left(1\right)\times ln\frac{2}{1}$
$138629.4J=138.63kJ$