If 70 calorie of heat is required to raise the temp of 2 mole of an ideal gas at constant - Physics - Kinetic Theory

Question

If 70 calorie of heat is required to raise the temp of 2 mole of an
ideal gas at constant pressure from 30 to 35,calculate the degrees
of freedom of the gas molecules?

Somnath physics · Accepted Answer

Here,ΔQ = 70×4
2 J n = 2 molT1=30T2=35We knowCp=1n(ΔQΔT)p=12×70×4
235−30=29 4Again,Cp−Cv=R=>Cv=Cp−R=29 4−8
3=21 1γ=CpCv=29 421 1≈1 4γ=1
4 is a value for diatomic gases that has degree of freedom =2×3−1=5

If 70 calorie of heat is required to raise the temp of 2 mole of an ideal gas at constant pressure from 30 to 35,calculate the degrees of freedom of the gas molecules?