A paddle wheel fractionally adds thermal energy to 4.0 mole of an ideal monatomic gas in a sealed insulated container. The paddle wheel is driven by a accord connected to a falling object as shown. How far has the 5.0 kg object fallen when the temperature of the gas increases by 7.5k?

Question

A paddle wheel fractionally adds thermal energy to 4.0 mole of an ideal monatomic gas in a sealed insulated container. The paddle wheel is driven by a accord  connected to a falling object as shown. How far has the 5.0 kg object fallen when the temperature of the gas increases by 7.5k?

irishboy123 · Answer

internal energy for monatomic gas: $U={3 \over 2}NkT$