One mole of an ideal monatomic gas is taken round the cyclic process \( MNOM \). The work done by the gas is
- 4.5 \( P_0 V_0 \)
- \( 9 P_0 V_0 \)
- \( 10 P_0 V_0 \)
- \( 2 P_0 V_0 \)
The Correct Option is C
Solution and Explanation
The work done in a cyclic process is equal to the area enclosed by the process on the PV diagram. The work done by the gas in the given cycle can be calculated by evaluating this enclosed area, which gives \( 10 P_0 V_0 \).
Top Questions on Thermodynamics
- A piston-cylinder assembly having 250 mm diameter contains 0.01 kg of water vapor at 1 MPa and 200°C. The specific volume of the vapor is 0.020602 m\(^3\)/kg. The system expands as per the relation \( p v^n = {constant} \), where \( p \) is pressure and \( v \) is the specific volume. The expansion of water vapor displaces the piston by 50 mm. If the final pressure is 0.35 MPa, the value of the exponent \( n \) is ........ (rounded off to two decimal places).
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A stream of superheated steam (2 MPa, 300°C) mixes with another stream of superheated steam (2 MPa, 400°C) through a steady-state adiabatic process. The flow rates of the streams are 3 kg/min and 2 kg/min, respectively. This mixture then expands in an adiabatic nozzle to a saturated mixture with quality of 0.77 and 1 kPa. Neglect the velocity at the nozzle entrance and the change in potential energies. The velocity at the nozzle exit (in m/s) is ......... (rounded off to two decimal places).
Use the following data:
At 2 MPa, 300 °C: Specific enthalpy of superheated steam = 3024.2 kJ/kg
At 2 MPa, 400 °C: Specific enthalpy of superheated steam = 3248.4 kJ/kg
At 1 kPa: Specific enthalpy of saturated water = 29.3 kJ/kg
At 1 kPa: Specific enthalpy of saturated vapour = 2513.7 kJ/kg
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