Question

What is the specific heat of an unknown metal of 2.93 kcal of energy are required to raise the temperature of 183.4g sample of the metal by 126.3 Celcius

Answer 1

The specific heat of the unknown metal is 1.26*10⁻⁴
`(kcal)/(g* C)`

Step-by-step explanation:

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

Sensible heat occurs when heat added or removed from a substance causes a temperature change in it and is calculated by:

Q = c * m * ΔT

Where Q is the heat exchanged by a body of mass m, constituted by a substance of specific heat c and where ΔT (Tfinal - Tinitial) is the variation in temperature

In this case:

• Q= 2.93 kcal
• c= ?
• m= 183.4 g
• ΔT= 126.3 °C

Replacing:

2.93 kcal= c* 183.4 g*126.3 °C

Solving:

`c=(2.93 kcal)/(183.4 g* 126.3 C)`

c= 1.26*10⁻⁴
`(kcal)/(g* C)`

The specific heat of the unknown metal is 1.26*10⁻⁴
`(kcal)/(g* C)`