Properties Of Solids And Liquids Question 95
Question: The coefficient of apparent expansion of mercury in a glass vessel is $153 × 10^{-6}$/ºC and in a steel vessel is $144 × 10^{-6}$/ºC. If $\alpha $ for steel is $12 × 10^{-6}$/ºC, then that of glass is [EAMCET 1997]
Options:
A) $ 9 × 10^{-6}$/ºC
B) $ 6 × 10^{-6}$/ºC
C) $36 × 10^{-6}$/ºC
D) $27 × 10^{-6}$/ºC
Show Answer
Answer:
Correct Answer: A
Solution:
greal = gapp. + gvessel So (gapp. + gvessel)glass = (gapp. + gvessel)steel
therefore 153 × 10-6 + (gvessel)glass = (144 × 10-6 + gvessel) steel Further, (gvessel)
steel = 3a = 3 × (12 × 10-6) = 36 × 10-6/ºC
therefore 153 × 10-6 + (gvessel)glass = 144 × 10-6 + 36 × 10-6
therefore (gvessel)glass = 3a = 27 × 10-6/ºC
therefore a = 9 × 10-6/ºC
BETA
