Thermodynamics Question 183
Question: If 300 ml of a gas at $ 27^{o}C $ is cooled to $ 7^{o}C $ at constant pressure, then its final volume will be
[Pb. PET 1999; BHU 2003; CPMT 2004]
Options:
A) 540 ml
B) 350 ml
C) 280 ml
D) 135 ml
Show Answer
Answer:
Correct Answer: C
Solution:
$ V\propto T $ at constant pressure
Therefore $ \frac{V _{1}}{V _{2}}=\frac{T _{1}}{T _{2}} $ (This equation is incorrect; it should be $ \frac{V _{1}}{V _{2}}=\frac{T _{1}}{T _{2}} $ for a constant pressure process, but the equation is already correct as written.)
Therefore $ V _{2}=\frac{V _{1}T _{2}}{T _{1}}=\frac{300\times 280}{300}=280ml. $
BETA
