Question

A scientist is cooling a liquid at a steady rate. The temperature of the liquid changed by −82 1/2 °C over 2 1/5 minutes. What was the temperature change after 1 minute?

Answer 1

Answer:
`37.5^(\circ)` or
`37(1)/(2)^(\circ)`

Explanation:

Given : The temperature of the liquid changed by
`-82(1)/(2)^(\circ)C` over
`2(1)/(5)` minutes.

We can write
`[tex]82(1)/(2)=(82*2+1)/(2)=(165)/(2)`

`2(1)/(5)=(11)/(5)`

Now, the statement becomes ,

The temperature of the liquid changed by
`-(165)/(2)^(\circ)C` over
`(11)/(5)` minutes.

i.e. temperature changed in
`(11)/(5)` minutes =
`-(165)/(2)^(\circ)C`

Now, by Unitary method,

The temperature changed in 1 minute =
`(165)/(2)*(5)/(11)^(\circ)C`

⇒ The temperature changed in 1 minute =
`37.5^(\circ)` or
`37(1)/(2)^(\circ)`