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The temperature (T) of one mole of an ideal gas varies with its volume (V) as T = – (alpha)(V 3 ) + (beta)V 2 where alpha and beta are positive constants. The maximum pressure of the gas during this process is …....

The temperature (T) of one mole of an ideal gas varies with its volume (V) as T = – (alpha)(V3) + (beta)V2  where alpha and beta are positive constants. The maximum pressure of the gas during this process is ….... 

Grade:12th pass

1 Answers

Sourabh Singh IIT Patna
askIITians Faculty 2104 Points
4 years ago
For ideal gas PV =nRT, so LHS can be written as PV .
Now find the realtion of P wrt V
ie P = (alpha)(V2)+ (beta)V and it will be maximum at -(beta)/2*(alpha)


You will get the value

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