Chemistry, asked by AbdulraqibMeekly, 9 months ago

for an ideal monoatomic gas the internal energy U is due to the kinetic energy and U= 3/2 RT per mole, show that Cv = 3/2 per mole and Cp = 5/2 per mole​

Answers

Answered by abhi178
0

Given : for an ideal monoatomic gas the internal energy U is due to the kinetic energy and U= 3/2 RT per mole.

To show : C_v=\frac{3}{2}R

and C_p=\frac{5}{2}R

solution : as it is given that, internal energy , U = 3/2 RT per mole

but we know, heat at constant volume is known as internal energy of an ideal gas.

so, U=C_vT per mole

on comparing we get,

\quad C_v=\frac{3}{2}R

we also know, C_p-C_v=R

C_p=C_v+R

C_p=\frac{3}{2}R+R=\frac{5}{2}R

hence it is clear that molar heat at constant volume of monoatomic gas is  C_v=\frac{3}{2}R and at constant pressure is  C_p=\frac{5}{2}R.

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