Question

The specific heat of air at constant pressure is 1.005 kJ/kgK and the specific heat of air at constant volume is 0.718 kJ/kgK find the specific gas constant

Answer 1

Answer is given below

Answer 2

The specific gas constant = 0.287 KJ/kgK

Given :

The specific heat of air at constant pressure is 1.005 kJ/kgK and the specific heat of air at constant volume is 0.718 kJ/kgK

To find :

The specific gas constant

Concept :

Specific gas constant = Specific heat at constant pressure - Specific heat at constant volume

$\boxed{ \: \: \displaystyle \sf{ C_p - C_v = R} \: \: }$

Solution :

Step 1 of 2 :

Write down the Specific heat at constant pressure and Specific heat at constant volume

Here it is given that specific heat of air at constant pressure is 1.005 kJ/kgK and the specific heat of air at constant volume is 0.718 kJ/kgK

Specific heat at constant pressure

$\displaystyle \sf{ =C_p }$

= 1.005 kJ/kgK

Specific heat at constant volume

$\displaystyle \sf{ = C_v }$

= 0.718 kJ/kgK

Step 2 of 2 :

Calculate the specific gas constant

The specific gas constant

= R

$\displaystyle \sf{ =C_p - C_v }$

= 1.005 kJ/kgK - 0.718 kJ/kgK

= 0.287 KJ/kgK

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