Question

A sample of an unknown metal has a mass of 0.5 kg. Adding 1985 J of heat to the metal raises its temperature by 10 K. What is the specific heat of the metal

Answer 1

The specific heat of the metal is calculated using the formula 'specific heat = Q / (m × ΔT)' and for the given metal with a mass of 0.5 kg and a temperature increase of 10 K after adding 1985 J of heat, it is 397 J/(kg·K).

Step-by-step explanation:

The specific heat of a metal can be calculated using the formula: specific heat (c) = Q / (m × ΔT), where Q is the heat added, m is the mass of the metal, and ΔT is the change in temperature. For the unknown metal with a mass of 0.5 kg and a temperature increase of 10 K after adding 1985 J of heat, the specific heat can be calculated as follows: c = 1985 J / (0.5 kg × 10 K) = 397 J/(kg·K). Thus, the specific heat of the metal is 397 J/(kg·K).

Answer 2

Cp = 397 [J/kg*K]

Step-by-step explanation:

By means of the energy equation for heat transfer in substances and objects, we can calculate the specific heat. In this way, we have the following equation.

`Q=m*C_(p)*DT`

where:

Dt = temperature change = 10 [K]

m = mass = 0.5 [kg]

Q = heat = 1985 [J]

Cp = specific heat [J/kg*K]

Now replacing:

`1985=0.5*C_(p)*10\\C_(p)=(1985)/(0.5*10)\\C_(p)=397[(J)/(kg*K) ]`