### Evaluate the work done by the gas

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##### Reference no: EM131475

Question: 1

Suppose the system shown below. Initially, the gas is at 200 kPa and occupies a volume of 0.1 m3. The spring exerts a force which is proportional to the displacement from its equilibrium position. The atmospheric pressure of 100k Pa acts on the other side of the piston. The gas is heated until the volume is doubled and the final pressure is 500 kPa. Determine the work done by the gas.

Question: 2

One kmol of ethylene is contained in a 0.6 m3 steel vessel immersed in a constant temperature bath at 200°C. Determine the pressure developed by the gas by each of the subsequent: (a) Ideal gas law, (b) van der Waals equation and (c) RedlichMKwong equation.

Question: 3

At the start of the compression stroke in an Otto engine the fuelMair mixture is at a pressure of 100 kPa and at a temperature of 300 K. The fuelMair mixture is compressed to a pressure of 2 MPa by an adiabatic and reversible process. Considering the fuelMair mixture to behave as a ideal gas with γ = 1.4, Evaluate the final temperature, the compression ratio which is defined as the ratio of the initial volume to the final volume, and the work done per mole of the fuelMair mixture.

Question: 4

Ten moles of an ideal gas with γ = 1.4, is compressed reversibly and adiabatically from 100 kPa and 27C to 1 MPa. Compute the work done on the gas, the change in the internal energy and the final temperature of the gas.

Question: 5

Energy is transferred as heat by conduction from a reservoir at 480 K to a reservoir at 300 K at the rate of 50 kJ/min. Determine  . What will be if a reversible heat engine is operated between these two reservoirs? How much work could be done by the engine?

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