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Mechanical Properties Of Fluids

Question
CBSEENPH11019540

For an ideal gas, the value of γ is 1.4. Find the value of specific heats of gas at constant volume and constant pressure, take R = 2 cal/mole/K.

Solution

We have,
Ratio of specific heat, y = 1.4
R=2 cal/mole/K 
Now, using the formula,  
space space space space space space space space space space straight y equals straight C subscript straight P over straight C subscript straight v equals 1.4 space space space space space space space space space space space space space space space space space space space space space space space space space space space space... left parenthesis 1 right parenthesis space

space space space space straight C subscript straight P minus straight C subscript straight v equals straight R equals 2 space cal divided by mole divided by straight K space space space space space space space space... left parenthesis 2 right parenthesis
space
Solving(1) and (2), we get
          C= 7 cal/mole/k, is the specific heat at constant volume.
 and    C = 5 cal/mole/K, is the specific heat at constant pressure.