Question

A 32.0 g sample of an unknown metal at 99.0c was place in a constant-pressure calorimeter containing 60.0 g of water at 24.0c. the final temperature of the system was found to be 28.4c. calculate the specific heat of the metal

Answer 1

To find the specific heat of the metal, you can use the formula q = m Þltat(Calorimeter) + m Þltat(Water), where q is the heat gained or lost by the system, m is the mass of the substance, and Þltat is the change in temperature. First, calculate the heat gained or lost by the water, then calculate the heat gained or lost by the metal, and finally, calculate the specific heat of the metal using the formula c(Metal) = q(Metal) / (m(Metal) Þltat(Metal)).

Step-by-step explanation:

To find the specific heat of the metal, we can use the formula:

q = m Þltat(Calorimeter) + m Þltat(Water)

Where q is the heat gained or lost by the system, m is the mass of the substance, and Þltat is the change in temperature.

First, we need to calculate the heat gained or lost by the water:

q(Water) = m(Water) Þltat(Water) × c(Water)

Then, we can calculate the heat gained or lost by the metal:

q(Metal) = q - q(Water)

Finally, we can calculate the specific heat of the metal:

c(Metal) = q(Metal) / (m(Metal) Þltat(Metal))