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Question: If CP and CV denoted the specific heats of unit mass of nitrogen at constant pressure and volume res...

If CP and CV denoted the specific heats of unit mass of nitrogen at constant pressure and volume respectively, then

A

CP – CV = R28\frac{R}{28}

B

CP – CV = R7\frac{R}{7}

C

CP – CV = R14\frac{R}{14}

D

CP – CV =

Answer

CP – CV = R28\frac{R}{28}

Explanation

Solution

Using Mayers equation, for 1 mole of gas,

CPCV=RC_{P} - C_{V} = R

\thereforeFor unit mass, CPCV=RM=R28C_{P} - C_{V} = \frac{R}{M} = \frac{R}{28}

(\becauseM for nitrogen = 28)