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. 12/49 R
C. 49/12 R
D. 12/7 R

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)`,
`R(dT)/(dV) = 7-6V = 0, V = (7)/(6)`
substituting in eq (1) `RT = (7-3 xx (7)/(6)) xx (7)/(6) rarr T = (49)/(12R)`