Consider a mixture of n moles of helium gas and 2n moles of oxygen gas (molecules taken to be rigid) as an ideal gas. Its (CpCv) value will be
6745
4027
1913
2315
Explanation for the correct option:
C) Cv=Specificheatatconstantvolume
Cp=Specificheatatconstantpressure
Now
CvofHelium=32R
CvofOxygen=52R
CpofHelium=52R
CpofOxygen=72R
Cvmix=n1Cv1+n2Cv2n1+n2
Where n1,n2 are number of moles
Cvmix=n×32R+2n×52Rn+2n
=13nR6n=13R6
Cpmix=n1Cp1+n2Cp2n1+n2
=n×52R+2n×72Rn+2n
=19nR6n=19R6
Now,
CpCv=196R136R
=1913
Hence, option C is correct.
Consider one mole of helium gas enclosed in a container at initial pressure P1 and volume V1. It expands isothermally to volume 4V1. After this, the gas expands adiabatically and its volume becomes 32V1. The work done by the gas during isothermal and adiabatic expansion processes are Wiso and Wadia, respectively. If the ratio WisoWadia=fln2, then f is ________.