Question

You are given a sample of metal and asked to determine its specific heat. You weigh the sample and find that its weight is 27.2 N . You carefully add 1.45×104 J of heat energy to the sample and find that its temperature rises 16.0 ∘C

Answer 1

c=326.5177 J/kg.K

Specific heat is c=326.5177 J/kg.K

Step-by-step explanation:

In order ti find the specific heat, we will proceed as follow:

Formula we are going to use is:

`Q=m*c*\Delta T`

Where:

Q is the heat energy added

m is the mass of sample

c is the specific heat

`\Delta T` is the temperature Rise.

First we will find the mass:

Weight=m*g (g is gravitational acceleration=9.8 m/s^2)

`m=(weight)/(g) \\m=(27.2)/(9.8) \\m=2.7755 \ kg`

Rearranging above formula:

`c=(Q)/(m* \Delta T)`

`c=(1.45*10^4)/(2.7755*16)`

c=326.5177 J/kg.K

Specific heat is c=326.5177 J/kg.K