One mole of at 300 K and 1 atm pressure is heated in a closed vessel so that temperature is 500 K and pressure is 5 atm. Then, it is cooled back to temperature of 300 K and pressure 1 atm. What is the change in internal energy of the gas?

One mole of at 300 K and 1 atm pressure is heated in a closed vessel

1.	One mole of at 300 K and 1 atm pressure is heated in a closed vessel so that temperature is 500 K and pressure is 5 atm. Then, it is cooled back to temperature of 300 K and pressure 1 atm. What is the change in internal energy of the gas?
Answer» ing to "first law of thermodynamics" change in internal energy (u) = heat LIBERATED (q) + work done (w). The vessel is a closed ONE. HENCE, the "volume remains" the "same". Hence, work done (w) = 0 Hence, change internal energy (u) = heat liberated (q) Heat liberated, Here N is the amount of gas in mole, the "molar heat capacity" at "constant volume". T represents the temperature change (500 - 200 = 300 K) At 300 K, the of carbon dioxide is 0.657 kJ/kg.K Substituting these values in , we have "