The heat capacity at constant pressure of a certain amount of a diatomic gas is 13.2 J/K.
(a) Find the number of moles of the gas.
(b) What is the internal energy of the gas at T = 312
K?
(c) What is the molar heat capacity of this gas at constant
volume?
(d) What is the heat capacity of this gas at constant
volume?
(a) For a diatomic gas, we know that Cv = 5/2 R. Hence, Cp =7/2 R (since Cp-Cv =R)
It is given that heat capacity at constant pressure is 13.2 J/k
Therefore
(b) At constant pressure, the expression for internal energy is given as
Source: http://pruffle.mit.edu/3.00/Lecture_11_web/node1.html
(c) The molar heat capacity at constant volume Cv is given as (for diatomic gas)
Cp = Cv + R
Cv = Cp- R = 5/2 R
(d) Heat capacity at constant volume = n x Cv = 0.453 x 5/2 R = 9.415 J/K
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