find the minimum attainable pressure of an ideal gas in the process T=T0+alpha V2 where T0 and alpha are positive constants and V is the volume of one mole of gas
As one mole ideal gas is given so we can write,
PV = RT or V = RT/P
Now put this equation of P on the given equation and find P in terms of T, T0, R. Then differentiate the P with respect to T and find find the value of T for which P will turn to its minimum value. Then put that value of T on the equation of P then find the minimum pressure.