Thermodynamics, Statistical Physics, and Quantum Mechanics

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As before, the workextractedequals the change ininternal energy of the

bodies, so

which is the same as above.

4.30 Heat Capacity Ratio (Moscow Phys-Tech)

If the gas is heated at constant volume,then theamount of heat trans-
ferred to the gas is

where is the heat capacity by weight of the gas, is themass, andTis
the temperature atpressure Using theideal gas law at thebeginning
and end of heatinggives

where is the number ofmoles of the gas. From (S.4.30.1) and(S.4.30.2),

and

For heating atconstantpressure,

Similarly,

SOLUTIONS