Mass of a gas is 300 gm and its specific heat at constant volume is 750 J/kg K. if gas is heated through `75^(@)C` at constant pressure of `10^(5)` N/`m^(2)`, it expands by volume `0.08xx10^(6)cm^(3)`. Find `C_(p)//C_(V)`.

Options

A. 1.4
B. 1.374
C. 1.474
D. 1.5

Answer

C

Explanation

`C_(P)=C_(V)+r`
`=750+(pv)/(mT)`
`=750+(10^(5)xx8xx10^(-2))/(0.3xx75)`
`(C_(p))/(C_(V))=(750)/(C_(V))+(800)/(22.5xxC_(V))`
`gamma=(C_(p))/(C_(V))=1+(800)/(22.5xx750)=1+0.474`
`gamma=1.474`.