The ratio of the relative rise in pressure for adiabatic compression to that for isothermal compression is

Question

The ratio of the relative rise in pressure for adiabatic compression to that for isothermal compression is (A) &gamma; (B) (1/&gamma;) (C) 1-&gamma; (D) (1/1-&gamma;)

Tardigrade Admin · Accepted Answer

For adiabatic compression pV&gamma;= constant, hence &gamma; pdv/V . For isothermal compression pV = constant hence dp = pdV/V.

Q. The ratio of the relative rise in pressure for adiabatic compression to that for isothermal compression is

$γ$

$\frac{1}{γ}$

$1 - γ$

$\frac{1}{1 - γ}$

For adiabatic compression $p V^{γ}$ = constant, hence $γ p d v / V$
. For isothermal compression pV = constant hence dp = pdV/V.

Q. The ratio of the relative rise in pressure for adiabatic compression to that for isothermal compression is

γ

γ1​

1−γ

1−γ1​

For adiabatic compression pVγ= constant, hence γpdv/V . For isothermal compression pV = constant hence dp = pdV/V.

$γ$

$\frac{1}{γ}$

$1 - γ$

$\frac{1}{1 - γ}$

For adiabatic compression $p V^{γ}$ = constant, hence $γ p d v / V$
. For isothermal compression pV = constant hence dp = pdV/V.