Question

A scientist measure change in the temperature of chemical solution at the start of the experiment , the solutions is at temperature of -14.96C. The temperature decreases 2.9C each hour

Answer 1

The temperature of the chemical solution after t hours is
`-14.96-2.9t\;^(\circ)C`

Explanation:

Given that the initial temperature of the chemical solution,
`T_0= -14.96^(\circ)C`.

The rate of decreasing temperature,
`R = 2.9^(\circ)C/ hour`

So, after t hours, the temperature of the chemical solution will decrease by
`Rt=2.9t^(\circ)C`.

So, the temperature of the chemical solution after t hours,

`T=T_0-Rt \\\\\Rightarrow T = -14.96-2.9t\;^(\circ)C`

Hence, the temperature of the chemical solution after t hours is
`-14.96-2.9t^(\circ)C`.