A diatomic gas `(gamma =1.4)` does `200 J` of work when it is expanded isobarically. Find the heat given to the gas in the process.

Answer

`700J`

Explanation

For a diatomic gas, `C_(v)=5/2R, C_(p)=7/2R`
In an isobaric process, work done
`W=p(V_(2)-V_(1))=nRT_(2)-nRT_(1)`
`=nR(T_(2)-T_(1))`
`:. T_(2)-T_(1)=W/(nR)`
Heat given in an isobaric process
`Q=nC_(p)(T_(2)-T_(1))=(nC_(p)W)/(nR)`
For diatomic gas, `C_(p)= 7/2R`
`=7/2 (RW)/(R)= 7/2xx200J= 700J`