Thermodynamics (Physics)

Choose the correct statement for processes A & B shown in figure. [figure]

1. PV=k for process B and A.
2. P -1T =k for process B and T=k for process A.
3. T P -1=k for process A and PV=k for process B.
4. PV =k for process B and PV=k for process A.

Answer

(2) P -1T =k for process B and T=k for process A., (4) PV =k for process B and PV=k for process A.

Solution

Slope: adiabatic - PV, isothermal - PV

>1, the steeper curve B is adiabatic and A is isothermal.

B: PV =k; put V TP T P -1=k, i.e. P -1T =k

A: T=k, i.e. PV=k

(1): PV=k for B also ⇒ (1) is wrong

(2): adiabatic relation for B, T=k for A ⇒ (2) is correct

(3): relations of A and B interchanged ⇒ (3) is wrong

(4): PV =k for B, PV=k for A ⇒ (4) is correct

Answer: (2), (4)