Question

Show that an ideal gas is Cp-Cv=R

Answer 1

Answer:

26-Oct-2019 · The Relationship between Cp and Cv of an ideal gas at constant volume Cv, and heat capacity at constant pressure Cp . ... CP∆T = CV∆T + R ∆T CP = CV + R

Answer 2

$\underline{ \boxed{ \huge{ \mathfrak{ \purple{Answer}}}}} \\ \\ \star \rm \: \red{To \: Derive} \\ \\ \implies \: \boxed{ \rm{C{ \tiny{p}} - C{ \tiny{v}} = R}} \\ \\ \star \rm \: \red{Derivation} \\ \\ \implies \rm \: for \: an \: ideal \: gas \begin{cases} \boxed{ \rm{ \pink{C{ \tiny{p}} = \frac{fR}{2} + R }}}\\ \\ \boxed{ \rm{ \pink{C{ \tiny{v}} = \frac{fR}{2} }}}\end{cases} \\ \\ \implies \rm \: f = degree\: of\: freedom \\ \\ \implies \sf \: \boxed{ \rm{\orange{C{ \tiny{p}} - C{ \tiny{v}}}}} = \frac{fR}{2} + R - \frac{fR}{2} = \boxed{ \rm{ \orange{R}}}$