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Q. A diatomic gas $(\gamma=1.4)$ does $400\, J$ of work when it is expanded isobarically. The heat given to the gas in the process is _______$J .$

JEE MainJEE Main 2022Thermodynamics

Solution:

$Q = nC _{ p } \Delta T =\frac{ nv }{ v -1} R \Delta T$
$Q =\frac{ v }{ v -1} \omega=\frac{1.4}{0.4} \times 400=1400\, J$