JEE Main On 8 April 2017 Question 27

Question: For a reaction, $ A(g)\to A(\ell );\Delta H=-3RT. $ The correct statement for the reaction is: [JEE Online 08-04-2017]

Options:

A) $ \Delta H=\Delta U=0 $

B) $ |\Delta H|<|\Delta U| $

C) $ |\Delta H|>|\Delta U| $

D) $ \Delta H=\Delta U\ne 0 $

Show Answer

Answer:

Correct Answer: C

Solution:

$\Delta n_g=0-1=-1$ Now as we know that,

$ \Delta H=\Delta U+\Delta n_gRT$

$ \Delta U=\Delta H-\Delta n_gRT$

$\Delta U=-3RT-(-1)RT=-2RT$

$|\Delta H|=|-3RT|=3RT$

$|\Delta U|=|-2RT|=2RT$

Hence $|\Delta H| \gt |\Delta U|$