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1. A monatomic ideal gas is contained in a cylinder closed with a movable piston. The initial pressure is 8 atm. and the initial volume is 0.5L. The gas is heated first at constant pressure until the volume becomes to 1.5L, then expands isothermally until the volume is doubled, finally cooled down at constant volume until the pressure drops to 1 atm. (1) How much work is done by the gas in the three processes? (2) What is the change in internal energy? (3) How much heat is supplied to the system?

1. A monatomic ideal gas is contained in a cylinder closed with a movable piston. The initial pressure is 8 atm. and the initial volume is 0.5L. The gas is heated first at constant pressure until the volume becomes to 1.5L, then expands isothermally until the volume is doubled, finally cooled down at constant volume until the pressure drops to 1 atm. (1) How much work is done by the gas in the three processes? (2) What is the change in internal energy? (3) How much heat is supplied to the system?

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13:00 < 4G.Il 43% Homework 9-Foundamentals of thermodynamics(2).pdf Homework 9 1. A monatomic ideal gas is contained in a cylinder closed with a movable piston. The initial pressure is 8 atm. and the initial volume is 0.5L. The gas is heated first at constant pressure until the volume becomes to 1.5L, then expands isothermally until the volume is doubled, finally cooled down at constant volume until the pressure drops to 1 atm. (1) How much work is done by the gas in the three processes? (2) What is the change in internal energy? (3) How much heat supplied to the system? 2. 2 mol of Helium (assume an ideal gas) expanded adiabatically from an initial state (T; -300K) until the volume is doubled. (1) Calculate the work done by the gas; (2) What would be the answer if the gas had expanded isothermally from the same initial state to the same final volume? 3. One mole of a monatomic ideal gas is caused to go through the cycle as shown in the figure. Process be is adiabatic expansion. P=10 atm, V₁-1.0m³ and V-8.0m². Find (a) which processes absorb heat from surroundings and how much heat is added in the processes; (b) which processes remove heat from system с V and the heat amount leaving the gas; (c) the net work done by the gas; (d) the efficiency of the cycle. r
Transcribed Image Text:13:00 < 4G.Il 43% Homework 9-Foundamentals of thermodynamics(2).pdf Homework 9 1. A monatomic ideal gas is contained in a cylinder closed with a movable piston. The initial pressure is 8 atm. and the initial volume is 0.5L. The gas is heated first at constant pressure until the volume becomes to 1.5L, then expands isothermally until the volume is doubled, finally cooled down at constant volume until the pressure drops to 1 atm. (1) How much work is done by the gas in the three processes? (2) What is the change in internal energy? (3) How much heat supplied to the system? 2. 2 mol of Helium (assume an ideal gas) expanded adiabatically from an initial state (T; -300K) until the volume is doubled. (1) Calculate the work done by the gas; (2) What would be the answer if the gas had expanded isothermally from the same initial state to the same final volume? 3. One mole of a monatomic ideal gas is caused to go through the cycle as shown in the figure. Process be is adiabatic expansion. P=10 atm, V₁-1.0m³ and V-8.0m². Find (a) which processes absorb heat from surroundings and how much heat is added in the processes; (b) which processes remove heat from system с V and the heat amount leaving the gas; (c) the net work done by the gas; (d) the efficiency of the cycle. r
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