Kinetic Theory Of Gases Question 64
A closed hollow insulated cylinder is filled with gas at $ 0{}^\circ C $ and also contains an insulated piston of negligible weight and negligible thickness at the middle point. The gas on one side of the piston is heated to $ 10,000{}^\circ C. $ If the piston moves 5 cm, the length of the hollow cylinder is
Options:
A) 13.65 cm
B) 27.3 cm
C) 38.6 cm
D) 64.6 cm
Show Answer
Answer:
Correct Answer: D
Solution:
Using Charles’s law, we have $ \frac{V}{T}= $ constant $ \Rightarrow \frac{\frac{l}{2}+5}{373}=\frac{\frac{l}{2}-5}{273} $ As the piston moves 5 cm, the length of one side will be $ ( \frac{l}{2}+5 ) $ and other side $ ( \frac{l}{2}-5 ) $ . On solving this equation, we get $ l=64.6cm. $
BETA
