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 a 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
