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 ............ $J$
A$1100$
B$1200$
C$1300$
D$1400$
JEE MAIN 2022, Medium
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D$1400$
d $Q = nC _{ p } \Delta T =\frac{ n\gamma }{ \gamma -1} R \Delta T$
$Q =\frac{ \gamma }{\gamma -1}\Delta T =\frac{1.4}{0.4} \times 400=1400 \,J$
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