Thermodynamics - Result Question 19

20. Which of the following relations does not give the equation of an adiabatic process, where terms have their usual meaning?

(a) $P^{\gamma} T^{1-\gamma}=$ constant

[NEET Kar. 2013]

(b) $P^{1-\gamma} T^{\gamma}=$ constant

(c) $P V^{\gamma}=$ constant

(d) $T V^{\gamma-1}=$ constant

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Answer:

Correct Answer: 20. (a)

Solution:

  1. (a) Adiabatic equations of state are $P V^{\gamma}=$ constant $\quad T V^{-1}=$ constant

$P^{1-\gamma} T^{\gamma}=$ constant.

When a thermodynamic system undergoes a change in such a way that to exchange of heat takes place between system and surroundings, then the process is adiabatic process. In this process $P, V$ and $T$ change but $\Delta Q=0$.