Q139 / 160 · TS EAMCET 2020 (09 Sep Shift 1) · Physics

The P-V diagram shown below indicates two paths along which a sample of gas can be taken from state A to state B. The energy equal to 5 PV in the form of heat is required to be transferred if the Path-1 is chosen. How much energy in the form of heat should be transferred if Path-2 is chosen?

Figure

  • Correct answer
    A
    112PV
  • B
    6PV
  • C
    92PV
  • D
    7PV

Solution

According to the first law of thermodynamics

Q=∆U+W, where Q is the heat transfer to the system, ∆U is the change in the internal energy, and W is the work done by the system.

Applying for the Path 1, putting the value from the given figure

5PV=f2nR∆T+W

5PV=f22PV+2PV

f=3

Now applying for Path 2,

Q=∆U+W

Q=32PV2+323PV2+PV2+2PV

Q=112PV

Hence, the correct answer is option: 'A'.

More Wave Optics Questions