Question

An ideal gas at 27°C is compressed adiabatically to (8/27) of its original volume. If ratio of specific heats, y = 5/3 then the rise in temperature of the gas is ______.

पर्याय

• 500 K

• 125 K

• 250 K

• 375 K

Answer 1

An ideal gas at 27°C is compressed adiabatically to (8/27) of its original volume. If ratio of specific heats, y = 5/3 then the rise in temperature of the gas is 375 K.

Explanation:

`T_1V_1^((gamma - 1)) = T_2V_2^((gamma - 1))`

`(T_2)/(T_1) = ((V_1)/(V_2))^(gamma - 1)`

`(T_2)/(300) = ((27)/(8))^((5/3-1))`

= `(27/8)^(2/3)`

`(27/8)^(2/3) = 9/4`

`T_2 = 300 xx 9/4`

T₂ = 675K

ΔT = T₂ ​− T₁​ = 675 − 300 = 375K