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One mole of an ideal gas is carried thro...

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

A

`(7)/(6R)`

B

`(12)/(49R)`

C

`(49)/(12R)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C

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)`
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