During an adiabatic process, the pressure is | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) For an adiabatic process, the relationship between pressure $P$ and temperature $T$ is given by $P^{1-\gamma} T^{\gamma} = 	ext{constant}$, which

Vedclass · Accepted Answer

$1.5$

Vedclass · Answer

(A) For an adiabatic process, the relationship between pressure $P$ and temperature $T$ is given by $P^{1-\gamma} T^{\gamma} = 	ext{constant}$, which can be rewritten as $P \propto T^{\frac{\gamma}{\gamma-1}}$.Given that $P \propto T^3$, we compare the exponents:$\frac{\gamma}{\gamma-1} = 3$$\gamma = 3(\gamma - 1)$$\gamma = 3\gamma - 3$$2\gamma = 3$$\gamma = \frac{3}{2} = 1.5$.Since $\frac{C_p}{C_v} = \gamma$, the value is $1.5$.

During an adiabatic process, the pressure is proportional to the cube of the temperature. Then ${C_p}/{C_v}$ is . . . . . . .

Similar Questions

$A$ graph of pressure versus volume for an ideal gas for different processes is as shown. In the graph,curve $OC$ represents:

In an adiabatic process,which of the following statements is true?

One mole of an ideal gas is taken through an adiabatic process where the temperature rises from $27^{\circ}C$ to $37^{\circ}C$. If the ideal gas is composed of polyatomic molecules that have $4$ vibrational modes,which of the following is true?

In an adiabatic expansion,which of the following is true?

The $P-V$ diagram of a diatomic ideal gas system undergoing a cyclic process is shown in the figure. The work done during the adiabatic process $CD$ is (use $\gamma=1.4$) (in $J$):

Vedclass Test Series

Exam Paper Generator

Online Exam Module