A gas expand adiabatically at constant pressure such that T - V -1-2- The value of Y C p - m - C v - m of the gas will be-A- 1-3B- 1-5C- 1-7D- 2

The correct option is B 1.5Given: nbsp; T∝ V^ 1/2 = nbsp;T = kV^ 1/2 = nbsp; nbsp;k = T V^1/2....(1) For adiabatic process, PV^γ = constant or nbsp; ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Chemistry

Relation between P, V, T, Gamma in Adiabatic Proceses

A gas expand ...

Question

A gas expand adiabatically at constant pressure such that
$T \propto V^{\frac{- 1}{2}}$ . The value of $γ (\frac{C_{p}, m}{C_{v}, m}$ ) of the gas will be:

1.3

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

1.5

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

1.7

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

Open in App

Solution

The correct option is B 1.5
Given: $T \propto V^{\frac{- 1}{2}}$ = $T = k V^{\frac{- 1}{2}}$ = $k = T V^{\frac{1}{2}}$ ....(1)
For adiabatic process, $P V^{γ}$ = constant
or $k = T V^{γ - 1}$ ....(2)
equating both the equations we get,
$T V^{\frac{1}{2}} = T V^{γ - 1}$
$γ - 1 = \frac{1}{2}$
$γ = \frac{3}{2}$

Suggest Corrections

Similar questions

Q. A gas expands adiabatically at constant pressure such that

T \propto V^{\frac{- 1}{2}}

The value of

γ (C_{p, m} / C_{v, m})

of the gas will be:

Q. A gas expand adiabatically at constant pressure such that

T \propto V^{\frac{- 3}{2}}

. The value of

γ (\frac{C_{p}}{C_{v}}

) of the gas will be:

Q. A gas expand adiabatically at constant pressure such that

T \propto V^{\frac{- 3}{4}}

. The value of

γ (\frac{C_{p}}{C_{v}}

) of the gas will be:

Q. A gas expands adiabatically at constant pressure such that

T

\propto V^{- 1 / 2}

. The value of

γ (C_{p, m} / C_{v, m})

of the gas will be :

Q. A gas expand adiabatically at constant pressure such that

T \propto V^{\frac{- 1}{2}}

. The value of

γ (\frac{C_{p}, m}{C_{v}, m}

) of the gas will be:

Join BYJU'S Learning Program

Explore more

Relation between P, V, T, Gamma in Adiabatic Proceses

Standard XII Chemistry

Join BYJU'S Learning Program

A gas expand adiabatically at constant pressure such that T∝V−12. The value of γ (Cp,mCv,m) of the gas will be:

The correct option is B 1.5Given: T∝V−12 = T =kV−12 = k=TV12....(1) For adiabatic process, PVγ = constant or k=TVγ−1....(2) equating both the equations we get, TV12=TVγ−1 γ−1=12 γ=32

A gas expand adiabatically at constant pressure such that
$T \propto V^{\frac{- 1}{2}}$ . The value of $γ (\frac{C_{p}, m}{C_{v}, m}$ ) of the gas will be: