Properties Of Solids And Liquids Question 591
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
Options:
A) $ 135{}^\circ C $
B) $ 125{}^\circ C $
C) $ 112{}^\circ C $
D) $ 100{}^\circ 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 Charles 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 $
