NEET Solved Paper 2017 Question 23

Question: A gas is allowed to expand in a well-insulated container against a constant external pressure of 2.5 atm from an initial volume of 2.50 L to a final volume of 4.50 L. The change in internal energy $ \Delta U $ of the gas in joules will be

Options:

A) +505 J

B) 1136.25 J

C) -500 J

D) -505 J

Show Answer

Answer:

Correct Answer: D

Solution:

  • $ \Delta U=q+w $ For adiabatic process, q = 0
    $ \therefore $ $ \Delta U=w $ $ =-P.\Delta V $ $ =-2.5\times 2,L-atm $ $ =-5\times 101.3,J $ $ =-506.5,J $ $ =-505,J $