A) 7/5
B) 8/7
C) 5/7
D) 9/7
Correct Answer: A
Solution :
| We have given molar specific heat at constant pressure \[{{C}_{P}}=\frac{7}{2}R\] |
| Mayors relation can be written as: |
| Molar specific heat at constant pressure |
| Molar specific heat at constant volume = Gas constant |
| i.e., \[{{C}_{P}}-{{C}_{V}}=R\] |
| \[\Rightarrow \] \[{{C}_{V}}={{C}_{P}}-R\] |
| \[=\frac{7}{2}R-R=\frac{5}{2}\,R\] |
| Hence, required ratio is |
| \[\gamma =\frac{{{C}_{P}}}{{{C}_{V}}}=\frac{(7/2)\,R}{(5/2)\,R}=\frac{7}{3}\] |
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