Question

A monoatomic gas of $n$-moles is heated from temperature $T_1$ to $T_2$ under two different conditions given below,
(i) At constant volume
(ii) At constant pressure.
Which one is correct from below regarding change in internal energy of the gas is :

• A. More for (i)
• B. More for (ii)
• C. Same in both cases
• D. Independent of number of moles

Answer 1

The correct option is C Same in both cases

Change in internal energy will be
$△U=n{C}_v△T$ for both process (at constant volume and constant pressure). It doesn't depend upon type of process. It is a state function, so change in temperature is same in both cases hence $△U$ is same in both.