A monatomic gas is suddenly compressed to $(1 / 8)$ th of its initial volume adiabatically. The ratio of its final pressure to the initial pressure is
(Given, the ratio of the specific heats of the given gas to be $5 / 3$ ).

32

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

40 / 3

No worries! We‘ve got your back. Try BYJU‘S free classes today!

24 / 5

No worries! We‘ve got your back. Try BYJU‘S free classes today!

8

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C $32$
It is given that $\frac{C_{p}}{C_{v}} = γ = \frac{5}{3}$
For an adiabatic process,
$P_{1} V_{1}^{γ} = P_{2} V_{2}^{γ}$
$⟹ \frac{P_{2}}{P_{1}} = (\frac{V_{1}}{V_{2}})^{5 / 3}$
$= (\frac{8}{1})^{5 / 3} = 32$

Suggest Corrections

Similar questions

Q. A monatomic gas is suddenly compressed to 1/8th of its initial volume adiabatically. The ratio of its final pressure to the initial pressure is (

γ =

5/3)

A monoatomic gas $(γ = \frac{5}{3})$ is suddenly compressed to $\frac{1}{8}$ of its original volume adiabatically, then the pressure of the gas will change to.

Q. A monatomic gas is compressed adiabatically to

{\frac{1}{4}}^{t h}

of its original volume, the final pressure of gas in terms of initial pressure P is:

Q. A gas for which

γ = 1.5

is suddenly compressed to

\frac{1}{4}

th of its initial value then the ratio of the final to initial pressure is

Q. A polyatomic gas

(γ = \frac{4}{3})

is compressed to

\frac{1}{8}

of its volume adiabatically. If its initial pressure is P, the new pressure will be

Join BYJU'S Learning Program

A monatomic gas is suddenly compressed to (1/8)th of its initial volume adiabatically. The ratio of its final pressure to the initial pressure is(Given, the ratio of the specific heats of the given gas to be 5/3).

The correct option is C 32It is given that CpCv=γ=53For an adiabatic process,P1Vγ1=P2Vγ2⟹P2P1=(V1V2)5/3=(81)5/3=32

A monatomic gas is suddenly compressed to $(1 / 8)$ th of its initial volume adiabatically. The ratio of its final pressure to the initial pressure is
(Given, the ratio of the specific heats of the given gas to be $5 / 3$ ).

The correct option is C $32$
It is given that $\frac{C_{p}}{C_{v}} = γ = \frac{5}{3}$
For an adiabatic process,
$P_{1} V_{1}^{γ} = P_{2} V_{2}^{γ}$
$⟹ \frac{P_{2}}{P_{1}} = (\frac{V_{1}}{V_{2}})^{5 / 3}$
$= (\frac{8}{1})^{5 / 3} = 32$