Neet Solved Paper 2013 Question 19

Question: The amount of heat energy required to raise the temperature of 1 g of helium at NTP, from $ T _1K $ To $ T _2K $ is

Options:

A) $ \frac{3}{8}N _{a}K _{B}(T _2-T _1) $

B) $ \frac{3}{2}N _{a}K _{B}(T _2-T _1) $

C) $ \frac{3}{4}N _{a}K _{B}(T _2-T _1) $

D) $ \frac{3}{4}N _{a}K _{B}( \frac{T _2}{T _1} ) $

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Answer:

Correct Answer: A

Solution:

We know that $ Q=\frac{F}{2}nR\Delta T $
$ \therefore $ Amount of heat required, $ Q=\frac{3}{2}\times \frac{1}{4}\times K _{B}N _{B}\Delta T $ $ \frac{3}{8}N _{B}K _{B}(T _2-T _1) $