Question

A diatomic gas $(\lambda =1.4)$ does $200J$of work when it is expanded isobarically. Find the heat given to the gas in the process.

Answer 1

From $1^{st}$ Law of thermo.

$Q=P△V+n\left(V△T\right)$

$=P△V+n\frac{R}{r-1}△T$

$=P△V(1+\frac{1}{V-1})$

$=200\left(1\frac{1}{0.4}\right)$

$=200\times 3.5$

$=700J$