Kinetic Theory Of Gases Question 53

Question: A balloon contains $ 1500m^{3} $ of helium at $ 27{}^\circ C $ and 4 atmospheric pressure. The volume of helium at $ -3{}^\circ C $ temperature and 2 atmospheric pressure will,

Options:

A) $ 1500m^{3}~ $

B) $ ~1700m^{3} $

C) $ 1900m^{3} $

D) $ ~2700m^{3} $

Show Answer

Answer:

Correct Answer: D

Solution:

[d] $ \frac{P _{1}V _{1}}{T _{1}}=\frac{P _{2}V _{2}}{T _{2}} $
$ \

Therefore V _{2}=\frac{P _{1}V _{1}}{T _{2}}\times \frac{T _{2}}{P _{2}}=\frac{4\times 1500\times 270}{300\times 2}=2700m^{3} $