Kinetic Theory of Gases homework

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When mixing one mole of a monoatomic gas (r = 5/3) with one mole of a diatomic gas (r = 7/3), the effective ratio of specific heats (r) for the mixture can be calculated. The specific heat of the combined gas represents the heat energy required to raise the temperature of one mole of the mixture by one degree. This value is derived from the sum of the specific heats needed to increase the temperature of half a mole of each gas. The calculation involves averaging the specific heats based on their mole fractions. Understanding this concept is crucial for solving problems related to the kinetic theory of gases.
Amith2006
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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.
 
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Amith2006 said:
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
 
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