Question

A fixed number of moles of an ideal gas are kept in a container of volume V and an absolute temperature T. If T and V are both doubled, the new r.m.s. velocity of the molecules in the gas will be _________ times the original r.m.s. molecular velocity. A: 1/4 B: 1/2 C: 1/sqrt(2) D: equal to E: sqrt(2) F: 2 G: 4 If T doubles while V is held constant, the new net internal energy of the gas will be ________ times the original internal energy of the gas.

Answer 1

Answer:

If the temperature and volume ot a gas increases, the r.m.s. velocity of the molecules in the gas will be 2  times the original r.m.s. molecular velocity.

If T doubles while V is held constant, the new net internal energy of the gas will be 2 times the original internal energy of the gas.

Explanation:

Temperature and root mean square velocity are directly proportional to one anoth. If the temperature increases, root mean square velocity also increases and vice versa, while temperature is also directly proportional to the internal energy of the gas molecules, higher the temperature, higher will be the internal energy and lower the temperature so internal energy will be decreased.