Properties Of Solids And Liquids Question 527

Question: A constant pressure air thermometer gave a reading of 47.5 units of volume when immersed in ice cold water, and 67 units in a boiling liquids. The boiling point of the liquid will be [AIIMS 1994]

Options:

A) 135°C

B) 125°C

C) 112°C

D) 100°C

Show Answer

Answer:

Correct Answer: C

Solution:

Initial volume $ V _{1}=47.5 $ units

Temperature of ice cold water $ T _{1}=0{}^\circ C=273K $

Final volume of $ V _{2}=67 $ units

Applying Charle’s law, we have $ \frac{V _{1}}{T _{1}}=\frac{V _{2}}{T _{2}} $ (where temperature $ T _{2} $ is the boiling point) or $ T _{2}=\frac{V _{2}}{V _{1}}\times T _{1}=\frac{67\times 273}{47.5}=385K=112{}^\circ C $



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