# A hot liquid takes 5 minutes to cool from 70(degree)C to 60(degree)C. the time taken by the same liquid to cool from 60(degree)C to 59(degree)C will be(take surrounding temperature is 20(degree)C)

Arun Kumar IIT Delhi
8 years ago
$T(t)=T_{A}+(T_{H}-T_{A})e^{-kt}$

$60-20=50e^{-k5}=>40=50^{-k5}$

$39=40e^{-kt}$

Equation is set just take log and divide to get the answer.

Arun Kumar
IIT Delhi