During an adiabatic process,the pressure of a | 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 $P^{1-\gamma} T^{\gamma} = 	ext{constant}$.Given t

Vedclass · Accepted Answer

$1.5$

Vedclass · Answer

(A) For an adiabatic process,the relationship between pressure $P$ and temperature $T$ is given by $P^{1-\gamma} T^{\gamma} = 	ext{constant}$.Given that $P \propto T^{3}$,we can write this as $P T^{-3} = 	ext{constant}$.Comparing the exponents of $P$ and $T$ in the two equations,we have the ratio $\frac{\gamma}{1-\gamma} = -3$.Solving for $\gamma$: $\gamma = -3(1-\gamma) \Rightarrow \gamma = -3 + 3\gamma \Rightarrow 2\gamma = 3 \Rightarrow \gamma = 1.5$.Since the ratio $C_P / C_V$ is defined as $\gamma$,the value is $1.5$.

During an adiabatic process,the pressure of a gas is found to be proportional to the cube of its absolute temperature. The ratio $C_P / C_V$ for the gas is

Similar Questions

If $\overrightarrow{u}=\overrightarrow{a}-\overrightarrow{b}$, $\overrightarrow{v}=\overrightarrow{a}+\overrightarrow{b}$, $|\overrightarrow{a}|=|\overrightarrow{b}|=2$, then $|\overrightarrow{u} \times \overrightarrow{v}|$ is equal to

What are the products formed when ammonia reacts with excess chlorine?

The work done by a force $\vec F = (-6x^3 \hat i) \text{ N}$,in displacing a particle from $x = 4 \text{ m}$ to $x = -2 \text{ m}$ is .............. $J$.

In thermodynamics,which one of the following properties is not an intensive property?

Complete hydrolysis of cellulose yields ........

Vedclass Test Series

Exam Paper Generator

Online Exam Module