A) \[\frac{3}{5}\]
B) \[\frac{3}{7}\]
C) \[\frac{5}{7}\]
D) \[\frac{5}{9}\]
Correct Answer: C
Solution :
Fraction of supplied energy which increases the internal energy is given by \[f=\frac{\Delta U}{(\Delta {{Q}_{p}})}=\frac{{{(\Delta Q)}_{V}}}{{{(\Delta {{Q}_{p}})}_{p}}}\] \[=\frac{\mu {{C}_{V}}\Delta T}{\mu {{C}_{P}}\Delta T}=\frac{1}{\gamma }\] For diatomic gas\[\gamma =\frac{7}{5}\] \[\Rightarrow \] \[f=\frac{5}{7}\]
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