Kinetic Theory Of Gases Question 102
Question: The volume of a gas at $ 20{}^\circ C $ is $ 200ml. $ If the temperature is reduced to $ -20{}^\circ C $ at constant pressure, its volume will be
Options:
A) $ 172.6ml $
B) $ 17.26ml $
C) $ 192.7ml $
D) $ 19.27ml $
Show Answer
Answer:
Correct Answer: A
Solution:
[a] $ V\propto T $
Therefore $ \frac{V _{1}}{V _{2}}=\frac{T _{1}}{T _{2}} $
Therefore $ \frac{200}{V _{2}}=\frac{(273+20)}{(273-20)}=\frac{293}{253} $
Therefore $ V _{2}=\frac{200\times 253}{293}=172.6,ml $
BETA
