Question:

Hi

I was wondering if there was some formula that related pv = nrt to the heat capacity of a gas. In other words I would like to find out how much energy a gas has gained if its temperature has gone up (or down) by T

thanks

Solution:

”
I was basically interested in relationship to specific heat capacity and internal energy for ideal and monoatomic/diatomic etc.”
This is a rather broad and unspecific question. A whole tutorial could be written on it (particularly the etc par). Perhaps phoffric’s links will be useful.
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“I was basically interested in relationship to specific heat capacity and internal energy for ideal and monoatomic/diatomic etc. ”
the relationship to specific heat capacity of what.
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The answer to your original question is given
“I would like to find out how much energy a gas has gained if its temperature has gone up (or down) by T”
Q = n*C* delta T
C = specific heat   Q = energy involved
for a monatomic ideal gas C at constant volume – 3R/2    and C for constant pressure = (5/2)R

C(v) = about 12 for monatomic
= about 20 for diatomica