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Let,
ρ → Density
T → Temperature
i → Specific internal energy
How can we represent i of a perfect gas in terms of ρ and/or T?

Let,
ρ → Density
T → Temperature
i → Specific internal energy
How can we represent i of a perfect gas in terms of ρ and/or T?
a) i=T
b) i ∝ (1/T)
c) i=(1/T)
d) i ∝ T

Answer: d
Explanation: i=Cv T is the relation between temperature and specific internal energy (where Cv is the specific heat at constant velocity). This can be used to get the energy equation in terms of specific internal energy.

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