A piston filled with `0.04` mole of an ideal gas expands reversible from `50.0mL` at a constant temperature of `37.0^(@)C` . As it does so, it absorbs `208J` of heat. The value of `q` and `W` for the process will be `(R=8.314J//molK` , `1n7.5=2.01)`

Options

A. `q=-208J,w=+208J`
B. `q=+208J,w=+208J`
C. `q=+208J,w=-208J`
D. `q=-208J,w=-208J`

Answer

C

Explanation

heat is absorbed hence, q will be posititve
I.e., `q=+208J`
`w=2.303nRT" log "((V_(2))/(V_(1)))`
`=2.303xx0.04xx8.314xx310" log "((375)/(50))`
`=208J`
`w_(("expansion"))=-208J`
work of expansion will be negative since, it is work done by the system.