A body cools from a temperature `3 T` to `2 T` in `10` minutes. The room temperature is `T`. Assume that Newton's law of cooling is applicable. The temperature of the body at the end of next `10` minutes will be

Options

A. T
B. `7/4 T`
C. `3/2 T`
D. `4/3 T`

Answer

C

Explanation

Since, `(T_1-T_2)/(t)=K[(T_1+T_2)/(2)-T_0]`
`implies (3T-2T)/(10)=K[(3T+2T)/(2)-T]` …(i)
and `(2T-T)/(10)=K[(2T+T.)/(2)-T]` …(ii)
By (i) and (ii) -
`T.=3/2T`.