Question

The temperature of n moles of an ideal gas is increased from T to 4T through a process for which pressure P = aT–1 where a is a constant. Then, the work done by the gas is

• A. nRT
• B. 4nRT
• C. 2nRT
• D. 6Nrt

Answer 1

Answer: (D)

6Nrt

Answer 2

: According to an ideal gas equation

$P V = n R T$

Or

….. (i)

$\therefore V = \frac { n R T ^ { 2 } } { a }$

Work done by the gas, dW = PdV

Or

$= [ 2 n R T ] _ { T } ^ { 4 T } = 6 n R T$