how do I calculate the amount of heat lost by the metal, qmetal?

I guess it depends upon the kind of information you have.

q = mass x specific heat x (Tfinal-Tinitial)

To calculate the amount of heat lost by a metal, you need to use the formula:

qmetal = m * c * ΔT

where:
- qmetal is the amount of heat lost by the metal
- m is the mass of the metal
- c is the specific heat capacity of the metal
- ΔT is the change in temperature of the metal

To calculate qmetal, you need to know the values of m, c, and ΔT. Here's how to determine each of these variables:

1. Mass (m): The mass of the metal should be provided to you. If not, you can measure it using a balance.

2. Specific Heat Capacity (c): The specific heat capacity of the metal can usually be found in reference books or online. It is a physical property unique to each metal and represents the amount of heat energy required to raise the temperature of one gram of the metal by one degree Celsius.

3. Change in Temperature (ΔT): You need to measure the initial and final temperatures of the metal and find the difference between them. Make sure to use the same temperature unit (either Celsius or Kelvin) for consistency.

Once you have the values for m, c, and ΔT, simply substitute them into the formula qmetal = m * c * ΔT and calculate the result. This will give you the amount of heat lost by the metal.