Physics

Problem

Identify the correct expression for the temperature

T(t)

of an object placed in an environment of constant temperature

T_s

if its initial temperature is

T_0

and the proportionality constant is

k

. a)

T(t)=T_0e^{-kt}+T_s

T(t)=T_s+(T_0-T_s)e^{-kt}

T(t)=T_s-(T_0-T_s)e^{-kt}

T(t)=T_s+(T_0-T_s)e^{kt}