Problem Sheet-1 1. A gas in a closed container is heated with 10 J of energy, causing the lid of the container to rise 2m with 3N of force. What is the total change in internal energy of the system? 2. A 0.5 mole of gas at temperature 300K expands isothermally from an initial volume of 2 L to 6 L (a) What is the work done by the gas? (b) Estimate the heat added to the gas? (c) What is the final pressure of the gas? (The value of gas constant, R = 8.31 J mol-1 K-1). 3. A gas ( 𝛾 = 1.4 ) of 2m3 volume and at a pressure of 4×105 N/m2 is compressed adiabatically to a volume 0.5 m3. Find its new pressure. Calculate the work done in the process?