Question

What is the specific heat capacity for a 5 g sample of metal that absorbs

100 Joules of heat energy when its temperature changes from 10 degrees
C to 40 degrees C?*
A) 15, 000 J/gC
B) 2 J/go
C)0.67 J/gC
D) 0.50 J/go

Answer 1

The specific heat capacity is 0.67
`(J)/(g*C)`

Step-by-step explanation:

Calorimetry is the measurement and calculation of the amounts of heat exchanged by a body or a system.

The amount of heat that a body receives or transmits is determined by the following expression:

Q = c * m * ΔT

Where Q is the heat exchanged by a body of mass m, made up of a specific heat substance c and where ΔT is the temperature variation.

This expression indicates that between heat and temperature there is a direct proportional relationship.

In this case:

• Q= 100 J
• c= ?
• m= 5 g
• ΔT= Tfinal - Tinitial= 40 °C - 10 °C= 30 °C

Replacing:

100 J= c*5 g* 30°C

Solving:

`c=(100 J)/(5 g* 30C)`

c= 0.67
`(J)/(g*C)`

The specific heat capacity is 0.67
`(J)/(g*C)`