FIND THE VALUE OF TWO MOLAR SPECIFIC HEAT OF NITROGEN GAS R=8.314. ......Y=1.41
Answers
Explanation:
We know,
=> Cp - Cv = R .............. ( 1 )
=> γ = Cp/Cv
=> Cp = γCv
=> Cp = 1.41 Cv ........... ( 2 )
Now, from equation ( 1 )
=> 1.41Cv - Cv = 8.314
=> 0.41Cv = 8.314
=> Cv = 8.314/0.41
=> Cv = 20.27
Now, from equation ( 2 )
=> Cp = 1.41 Cv
=> Cp = 1.41 × 20 27
=> Cp = 28.58
Specific heat for constant pressure=28.592 kj/kg.mol.k
Specific heat for constant volume=20.278 kj/kg.mol.k
Given :
R = 8.314 KJ/Kg.mol.k
Υ = 1.41
Find : Molar specific heat =?
That is Cp and Cv
Formula used :
Cp - Cv = R
Cp/Cv = Y
Explanation :
- R is molar gas constant or called it as universal gas constant
- And it can never change irrespective of gases.
Cp - Cv = 8.314
Cp/Cv = 1.41
Cp = 1.41Cv
Cp - Cv = 8.314
1.41Cv - Cv = 8.314
0.41Cv = 8.314
Cv = 8.314/0.41
Cv =20.278 kj/kg.mol.k
Cp-Cv = 8.314
Cp = 8.314 + 20.278
Cp = 28.592 kj/kg.mol.k
Note that : Cp is always grater than Cv by the value of characteristic gas constant
Therefore,
Specific heat for constant pressure=28.592 kj/kg.mol.k
Specific heat for constant volume=20.278 kj/kg.mol.k
To learn more…
1. The relationship between universal gas constant (ru) and the characteristic gas constant (rc) is
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2. Characteristic gas constant for air in m per kelvin
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