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Show that for ideal gas C(P ) - C(v...

Show that for ideal gas ` C_(P ) - C_(v ) = R ` and ` gamma =1 +(2)/(f ) ` , where f is the degrees of freedom of the molecule .

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Prove C_(p) - C_(v) = R

From the relation C_p-C_v=R show that the ratio of two specific heats (gamma) of an ideal gas is given by gamma=1+2/f where f is the degrees of freedom of the molecule.

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If x = a - (1)/(a), y = b - (1)/(b) and z = c - (1)/(c ) and a, b, c are in G.P., then show that (x+z)/(y) = r + (1)/(r ) , where r is the common ratio of the G.P.

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