Finding the heat capacity ratio for a mixture of monatomic and diatomic gases

[Amith2006]

3)Sir,
Please help me with this problem.
# If one mole of a mono atomic gas(r = 5/3) is mixed with one mole of a
diatomic gas(r = 7/3),then what is the value of the r for the mixture?
In the above problem r = C(p)/C(v) = ratio of specific heats.

 

[Andrew Mason]

3)Sir,
Please help me with this problem.
# If one mole of a mono atomic gas(r = 5/3) is mixed with one mole of a
diatomic gas(r = 7/3),then what is the value of the r for the mixture?
In the above problem r = C(p)/C(v) = ratio of specific heats.

Think of it this way: the specific heat(s) of the combined gas is the amount of heat energy needed to increase one mole of the combined gas' temperature by one degree. But that same amount of heat is simply the sum of the heats needed to increase the temperature of 1/2 a mole of each gas separately (by one degree).

AM