Question

The net work done in the following cycle for one mol of an ideal gas will be ______ (in calorie), where in process BC, PT = constant. (R = 2 cal/mol-K).

Answer 1

The net work done in the following cycle for one mol of an ideal gas will be 200 (in calorie), where in process BC, PT = constant.

Explanation:

`"w"_"total" = "w"_"AB" + "w"_"BC" + "w"_"CA"`

`"w"_"AB" = 0` (isochoric)

`"w"_"BC" = ("nR"Delta"T")/(x - 1)`   ...(Polytropic PV^1/2 = constant)

`= (1 xx 2 xx 100)/(-1//2)`

= - 400 cal

`"w"_"CA" = - "nR"Delta"T"` (isobaric)

= - 1 × 2 × - 300

= 600 cal

`"w"_"total" = 0 - 400 + 600`

= 200 cal