Which of the following is correct option for the free expansion of an ideal gas under adiabatic condition ?

Options

A. `q = 0, Delta T = 0 and w = 0`
B. `q = 0, Delta T lt 0 and w gt 0`
C. `q lt 0, Delta T = 0 and w = 0`
D. `q gt 0, Delta T gt 0 and w gt 0`

Answer

A

Explanation

Free expansion of ideal gas `P_("ext")= 0`
`W_(pv)= 0`
q= 0 (adiabatic process)
`Delta E= q+w`
`Delta E=0`
`Delta E= n C_(vm) Delta T= 0`
`q= 0, Delta T= 0, w = 0`