Question

During adiabatic process pressure $P$ versus density $\rho$ equation is:

• A. $P \rho^{\gamma}=$ constant
• B. $P \rho^{-\gamma}=$ constant
• C. $P^{\gamma} \rho^{1+\gamma}=$ constant
• D. $P^{1 / \gamma} \rho^{\gamma}=$ constant

Answer 1

Answer: (B)

In adiabatic process, $P V^{\gamma}=$ constant (1)
Density $\rho=\frac{m}{V}$
or $\rho\, \infty \,V^{-1}$
Hence, equation (1) can be written as
$p \rho^{-\gamma}=$ constant