Question

A sample of copper absorbs 4.31E+1 kJ of heat, resulting in a temperature rise of 6.71E+1 °C. Determine the mass (in kg) of the copper sample if the specific heat capacity of copper is 0.385 J/g°C.

Answer 1

Answer: 1.67 kg

Step-by-step explanation:

The quantity of heat required to raise the temperature of a substance by one degree Celsius is called the specific heat capacity.

`Q=m* c* \Delta T`

Q = Heat absorbed=
`4.31* 10^1kJ` =
`43100J` (1kJ=1000J)

m= mass of substance = ?

c = specific heat capacity =
`0.385J/g^0C`

Change in temperature ,
`\Delta T=T_f-T_i=6.71* 10^1^0C=67.1^0C`

Putting in the values, we get:

`43100J=m* 0.385J/g^0C* 67.1^0C`

`m=1670g=1.67kg` (1kg=1000g)

Thus the mass (in kg) of the copper sample is 1.67