A tank with a constant volume of 3.44 m3 contains 14 moles of a monatomic ideal gas. The gas is initially at a temperature of 300 K. An electric heater is used to transfer 52600 J of energy into the gas. It may help you to recall that CVCV = 12.47 J/K/mole for a monatomic ideal gas, and that the number of gas molecules is equal to Avagadros number (6.022 × 1023) times the number of moles of the gas.

Question

A tank with a constant volume of 3.44 m3 contains 14 moles of a monatomic ideal gas. The gas is initially at a temperature of 300 K. An electric heater is used to transfer 52600 J of energy into the gas. It may help you to recall that CVCV = 12.47 J/K/mole for a monatomic ideal gas, and that the number of gas molecules is equal to Avagadros number (6.022 × 1023) times the number of moles of the gas.
1) What is the temperature of the gas after the energy is added?

2) What is the change in pressure of the gas?
3) How much work was done by the gas during this process?

Chanz · Answer

1) Q = nc*changeT changeT + 300 = Tf 2)P = nRT/V. Do for intial and final temps 3) None. No change in volume means no work