A one mole of ideal gas goes through a process in which pressure P varies with volume V as P = 3 - g V V 0 2 , where V 0 is a constant. The maximum attainable temperature by the ideal gas during this process is (All quantities are in SI units and R is gas constant)

Question

A one mole of ideal gas goes through a process in which pressure P varies with volume V as P = 3 - g V V 0 2 , where V 0 is a constant. The maximum attainable temperature by the ideal gas during this process is (All quantities are in SI units and R is gas constant), 2 V 0 3 R, 2 V 0 R, 3 V 0 2 R, 3 V 0 R

MARKS App · Accepted Answer

Given that, P = 3 - g V V 0 2 We know P V = n R T ⇒ 3 - g V V 0 2 v = R T ∴ N = 0 ⇒ T = 3 V - g V V 0 2 R = 3 V R - g V 2 R V 0 2 For maximum value of T , d T d V = 0 ⇒ d T d V = 3 R - g R V 0 2 2 V ⇒ 3 R - 2 g V R V 0 2 = 0 ⇒ 3 R - 2 g V R V 0 2 V = 3 V 0 2 2 g

Search any question & find its solution

Looking for more such questions to practice?