Heating of Gas in Open Vessel

There are two vessels. Each of them contains one moles of a monoatomic ideal gas. Initial volume of the gas in each vessel is 8.3 xx 10^(-3) m^(3) at 27^(@)C . Equal amount of heat is supplied to each vessel. In one of the vessels, the volume of the gas is doubled without change in its internal energy, whereas the volume of the gas is held constant in the second vessel. The vessels are now connected to allow free mixing of the gas. Find the final temperature and pressure of the combined gas system.

A vessel is filled with an ideal gas at a pressure of 10 atmospheres and temp 27^(0)C . Half of the mass of the gas is removed from the vessel the temperature of the remaining gas is increased to 87^(0)C . Then the pressure of the gas in the vessel will be

The heat capacity of a vessel is 300 cal .^(@)C^(-1) and the heat capacity of water contained in the vessel is also 300 cal .^(@)C^(-1) . How much heat (in joules) is required to raise the temperature of water in the vessel by 126^(@)F ?

An ideal gas is present in an open vessel at 27^(@)C . If this gas is heated upto TK temperature so that (2)/(3) of final moles of gas are escaped out, then calculate final temperature T.

"Ideal Gas Equation and its Applications, Open Vessel and Closed Vessel Concept,Connected Containers"

One kilogram of graphite is burnt in a closed vessel.The same amount of graphite is burnt in an open vessel.Will the heat evolved in two cases be same or different?