250 Gm Of Water And Equal Volume Of Alcohol Of Mass 200 Gm Are Replaced Successively In The Same Calorimeter And Cool From 60oC To 55oC In 130 Seconds And 67 Seconds Respectively. If The Water Equivalent Of The Calorimeter Is 10 Gm, Then The Specific Heat Of Alcohol In Cal/gm-oC is:   

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Question

250 gm of water and equal volume of alcohol of mass 200 gm are replaced successively in the same calorimeter and cool from 60oC to 55oC in 130 seconds and 67 seconds respectively. If the water equivalent of the calorimeter is 10 gm, then the specific heat of alcohol in cal/gm-oC is:   

Solution

Correct option is

0.62

 

Mass of water = 250 gm   

Mass of alcohol = 200 gm   

Water equivalent of calorimeter, W = 10 gm   

Fall of temperature = 60 – 55 = 5oC   

Time taken by water to cool = 130 sec.

Time taken by alcohol to cool = 67 sec.   

Heat lost by water and colorimeter   

              

  

Heat lost by alcohol and calorimeter = (200s + 10)5

  

Rates of loss of heat in the two cases are equal   

 cal/gm-oC

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