By heating 2 mol of nitrogen gas in a frictionless piston-cylinder, the gas expands at a constant pres- sure of 1 bar from an initial volume of 0.02 m5 to a final volume of 0.05 m5. the gas temperature correspondingly increases from 300 to 500 k. assuming nitrogen is an ideal gas with a molar heat capacity c ^r (where r is the gas constant), find the amount of heat added and work derived from the gas expansion.