Equal Volumes Of Water And Alcohol When Put In Similar Calorimeters Take 100 Sec And 74 Sec Respectively To Cool From 50oC To 40oC. The Thermal Capacity Of Each Calorimeter Is Numerically Equal To The Volume Of Either Liquid. The Specific Gravity Of Alcohol Is 0.8. If The Specific Heat Capacity Of Water Is 1 Cal/g, The Specific Heat Capacity Of Alcohol Will Be:

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Question

Equal volumes of water and alcohol when put in similar calorimeters take 100 sec and 74 sec respectively to cool from 50oC to 40oC. The thermal capacity of each calorimeter is numerically equal to the volume of either liquid. The specific gravity of alcohol is 0.8. If the specific heat capacity of water is 1 cal/g, the specific heat capacity of alcohol will be:

Solution

Correct option is

0.6 cal/g-oC

 

Let V cc be the volume of either liquid.

Thermal capacity of each calorimeter is V cal per oC.

Rate of cooling of water,

   

Rate of cooling of alcohol

   

Now  -oC

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Q10

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