## Question

Equal volumes of water and alcohol when put in similar calorimeters take 100 sec and 74 sec respectively to cool from 50^{o}C to 40^{o}C. 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

0.6 cal/g-^{o}C

Let *V* cc be the volume of either liquid.

Thermal capacity of each calorimeter is *V* cal per ^{o}C.

Rate of cooling of water,

Rate of cooling of alcohol

Now **- ^{o}C**

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