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  4. The graph shows variation of internal energy U with density ρ of one mole of an ideal monatomic gas. The process A B is a part of rectangular hyperbola. Find the work done (in J) in the process.

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Q. The graph shows variation of internal energy $U$ with density $\rho$ of one mole of an ideal monatomic gas. The process $A B$ is a part of rectangular hyperbola. Find the work done (in $J$) in the process.Physics Question Image

Thermodynamics

Solution:

$U \rho=$ Constant
$\frac{T}{V}=$ Constant
$P=$ Constant
$W=n R \Delta T$......(i)
$n\left(C_{V}\right) \Delta T=3$
$n\left(\frac{3 R}{2}\right) \Delta T=3$
$ \Rightarrow W=2 \,J$