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Mechanical Properties Of Fluids

Question
CBSEENPH11019631

70 calories of heat are required to raise the temperature of two moles of an ideal gas by 5°C at constant pressure. Find the amount of heat required to raise the temperature of same gas through 5°C at constant volume.

Solution

Given,
Heat required to raise the temperature, Q= 70 cal
Number of moles of gas, n = 2 mole  
Increase space in space temperature comma space increment straight T equals 5 degree straight C space

Now comma
space space space space space space space space space space space space space space space space space straight Q subscript straight P equals nC subscript straight P increment straight T space

rightwards double arrow space space space space space space space space space space space space space space 70 equals 2 cross times straight C subscript straight P cross times 5 space
       
rightwards double arrow           CP = 7 cal/mol/K
Therefore,
                C= 5 cal/mol/K 
Therefore, the quantity of heat required to increase the temperature at constant volume is, 
space space space space space space space straight Q subscript straight v equals nC subscript straight v increment straight T equals 2 space cross times space 5 space cross times space 5 space equals space 50 space cal