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The temperature of a liquid drops from ...

The temperature of a liquid drops from 365 K to 361 K in 2 minutes . Find the time during which temperature of the liquid drops from 344 K to 342 K.Temperature of room is 293 K

A

84 s

B

72 s

C

66 s

D

60 s

Text Solution

Verified by Experts

The correct Answer is:
A

By Newton.s law of cooling
`ms (theta_(2)-theta_(1))/(t)=k(theta_(2)+theta_(1))/(2)-theta_(0)`
`rarr ms xx4/2 =k xx70`
`rarr 2ms=70 k`
`rarr t=7/5` min
`t=7/5 xx60 s=84s`
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