One mole of an ideal gas is carried through the reversible cyclic process as shown in figure. The max. temperature attained by the gas duing the cycle

Options

A. `(7)/(6R)`
B. `(12)/(49R)`
C. `(49)/(12R)`
D. None of these

Answer

C

Explanation

Max. temp. attained by gas in between B to C According to equation of straight line
`(P-4)/(1-4)=(V-1)/(2-1)`
`rArr" "P-4=-3V+3`
`rArr" "P=7-3V`
For 1 mole gas
`(RT)/(V)=7-3V,RT=7V-3V^(2)` …..(1)
`R(dT)/(dV)=7-6V=0`
`V=(7)/(6)` put in Eq. (1)
`RT=(7-3xx(7)/(6))xx(7)/(6)`
`rArr" "T=(49)/(12 R)`