For a diatomic gas change in internal energy for unit change in temperature for constant pressure and constant volume is ${U_1}$ and ${U_2}$ respectively. ${U_1}:{U_2}$ is
A$5:3$
B$3:5$
C$1:1$
D$5:7$
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C$1:1$
c $U _{1}$ is the change in internal energy at constant pressure
$U _{1}= nC _{ v } \Delta T$
$= n _{ v } \quad[\Delta T =1 unit ]$
And $U _{2}$ change in internal energy at constant volume.
$\therefore u _{2}= nC _{ v } \Delta T$
$= nC _{ v }$
$\therefore U _{1}: U _{2}=1: 1$
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