Question

3. a) Find an expression for Cp in terms of Cy. Does this make sense? Explain. b) What are the dimensions of heat capacity? Does this make sense? Explain.

Answer 1

3. (a.) Relation between Op and cv Let us consider me mole of an ideal gas enclosed in a cylinder provided with a friction less piston of area A. A quantity of heat d Q is supplied to the gas. The pressure and the temperature of the gas increase to l toll and Tt dT. But the gas does not do any wook (dwzo). adQ = dus Ixcy xdT Now a quantity of heat dh' is supplied to the gas till its temp. becomes Tt dT This heat energy is not inly used to increase the internal energy du of the gal 1. dd - det dwa - dla Cp dT Cp dT - Crd T adw. 1. Codt = cvel T+ P. ON Pre RT (ideal gas eq) I PON Rd T cp dT = and THR dt cp=crtR

da me at / 2 ML2T-2 I dimensions ) MAI Imension of a genergy um - M y AT-O o dimension of heat capacity IC [C= fml?p=27m 1609
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