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Question

In a closed system, volume changes from 1 m3 to 2 m3 and heat addition is 2000 kJ. The change in internal energy given the pressure volume relation as p = 1000 V kPa, Where V is volume in m3

The correct answer is

500 kJ

Boundary work: \(W=\int_1^2 1000V\,dV=500(2^2-1^2)=1500\ \mathrm{kJ}\).

Energy balance: \(\Delta U=Q-W=2000-1500=500\ \mathrm{kJ}\).

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Important Questions from Statement of First Law of Thermodynamics

  1. Which term of the following is defined by the first law of thermodynamics?

  2. A stationary mass of gas is compressed without friction from an initial state of 0.3 m3 and 0.105 MPa to a final state  of 0.15 m3  and 0.105 MPa, the pressure remaining constant during the process. There is a transfer of 37.6 kJ of heat  from the gas during the process. How much does the internal energy of the gas change?
  3. The first law of thermodynamics is synonymous with the ______.

  4. A system is undergoing a cycle that consists of three processes. During the first process, the work is 5 kJ and the heat is 23 kJ. In the second process no work takes place and the heat interaction is -50 kJ. The third process is adiabatic. The work in the third process is

  5. Which one of the following process is the energy efficient one for compression of air

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