Heat And Thermodynamics Ques 222

  1. Which of the following graphs correctly represent the variation of $\beta=-\frac{d V / d p}{V}$ with $p$ for an ideal gas at constant temperature?

$(2002,2 M)$

(a)

(b)

(c)

(d)

Show Answer

Answer:

Correct Answer: 222.(a)

Solution:

Formula:

Isobaric process :

  1. $\beta=-\frac{d V / d p}{V}=$ compressibility of gas

$$ =\frac{1}{\text { Bulk modulus of elasticity }} $$

and $\beta=\frac{1}{p}$ under isothermal conditions.

Thus, $\beta$ versus $p$ graph will be a rectangular hyperbola.



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