Heat and Thermodynamics 6 Question 9
13. 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)
(c)
(b)
(d)
Show Answer
Answer:
Correct Answer: 13. (c)
Solution:
- $\beta=-\frac{d V / d p}{V}=$ 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.
