Question

One mole of a gas absorbs 200J of heat at constant volume. Its temperature rises from 298K to 308K. The change in internal energy is?

a. 200 j
b. -200 j
c. -400 j
d. -300 j

Answer 1

The total change in the internal energy of the gas is 450 J.

Step-by-step explanation:

To find the change in internal energy (AU) of the gas, we can use the equation AU = q + w, where q is the heat transferred and w is the work done. In this case, the heat transferred is given as 117 J and the work done can be calculated using the equation w = PxDV, where P is the external pressure and DV is the change in volume.

The change in volume is (final volume - initial volume) = (3.50 L - 0.200 L) = 3.30 L. Plugging in these values, we get w = (0.995 atm) x (3.30 L) = 3.29 atm*L. Therefore, w = 3.29 atm*L x 101.3 J/L*atm = 333 J. Finally, we can calculate the change in internal energy: AU = q + w = 117 J + 333 J = 450 J. So, the total change in the internal energy of the gas is 450 J.