One mole of an ideal gas in initial state A undergoes a cyclic process ABCA, as shown in the figure. Its pressure at A is `P_0`. Choose the correct option (s) from the following

Options

A. internal energies at `A and B` are the same
B. work done by the gas in process `AB` is `P_(0)V_(0)ln4`
C. pressure at `C` is `(P_(0))/(4)`
D. temperature at `C` is `(T_(0))/(4)`

Answer

A, B, C, D

Explanation

Internal energy of in ideal gas depends on temperature
`W_(BC)=nRT "ln"(V_(2))/(V_(1))=(1) (R)(P_(0)V_(0))/(R) "ln"(4V_(0))/(V_(0))`
`=P_(0)V_(0) ln 4` For `CA (P)/(T)=` constant P at `C =(P_(0))/(4)`
T at `C=(T_(0))/(4)` Hence all option are correct.