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Find the change in the entropy in the fo...

Find the change in the entropy in the following process 100 g of ice at `0^@C` melts when dropped in a bucket of water at `50^@C` (Assume temperature of water does not change)

A

-4.5 cal/K

B

+ 4.5 cal/K

C

+5.4 cal/K

D

-5.4 cal/K

Text Solution

Verified by Experts

The correct Answer is:
B

Entropy `S_1= (DeltaQ)/(T)= (mL)/(T) = (80xx100)/(273)= (8xx10^3)/(273)` cal/K
Loss of entropy = `S_2= -(DeltaQ)/(T)= - (mL)/(T)`
`= -(80 xx 100)/((273+50))= -(8xx10^3)/(323)` cal/K
Total change of entropy
=`(8xx10^3)/(273)-(8xx10^3)/(323)` = +4.5 cal / K.
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