Question

The temperature of one mole of an ideal gas increases from $298K$ to $308K$ when it absorbs $200J$ of heat at constant volume. The change in the internal energy of the gas is:

• A. $200J$
• B. $140J$
• C. $-200J$
• D. $-140J$

Answer 1

The correct option is A $200J$

The temperature of one mole of an ideal gas increases from 298 K to 308 K when it absorbs 200 J of heat at constant volume. The change in the internal energy of the gas is $200J$

Now, using first law of thermodynamics:

$\Delta U=q+W$

$W=0$ as volume is constant.

$\Delta U=q=200J$.