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Two moles of helium, four moles of hydrogen and one mole of water vapour form an ideal gas mixture. The molar specific heat at constant pressure of the mixture is(neglecting vibrational degrees of freedom): a> (7/3)R B> (16/7)R C> (10/3)R D> (23/7)R ....................................... THE CORRECT ANSWER IS (23/7) R PLEASE GIVE ME A DETAILED SOLUTION


Two moles of helium, four moles of hydrogen and one mole of water vapour form an ideal gas mixture. The molar specific heat at constant pressure of the mixture is(neglecting vibrational degrees of freedom):

a> (7/3)R

B> (16/7)R

C> (10/3)R

D> (23/7)R


.......................................

THE CORRECT ANSWER IS (23/7) R

PLEASE GIVE ME A DETAILED SOLUTION


Grade:9

2 Answers

SURA CHAITHANYA
13 Points
5 years ago
Cv = 4*5R/2 + 2*3R/2 +1*6R/2 /7    =16R/7
Cp = Cv + R = 16R/7 + R  =23R/7
Cv = n1Cv1 + n2Cv2 + n3Cv3  /n1 + n2 + n3
ankit singh
askIITians Faculty 614 Points
3 years ago

CV​ for hydrogen =  25​R
Cv​ for helium =  23R​
VV​ for water vapour =  26R​=3R
∴ (CV​)mix​ =  4+2+14× 25​R+2× 23​R+1×3R​ =  716​R
∴ CP​ = CV​+R
CP​ =  716​R+R
Or, CP​ =  723​R

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