Answer:
the mass of the metal is
Mm=24,7378 grams
Explanation
the explanation can be found in the attached picture.
The mass of the metal was calculated under the assumption that
- the heat capacity of the water and the metal do not change with temperature
- the metal does not react with the water
The direction of the transfer of heat energy is dependent on the initial temperature of the metal and the water. Since the initial temperature of the metal is higher than the initial temperature of the metal, heat energy will be transferred from the metal to the water. Let’s use the following equation to determine the amount of heat energy that is transferred.
Q = mass * specific heat * ∆ T
For the iron, ∆ T = 100 – 17.6 = 82.4˚
For the water, ∆ T = 17.6 – 16 = 1.6˚
For the iron, Q = m * 0.460 * 82.4 = m * 37.904
For the water, Q = 140 * 4.186 * 1.6 = 937.664 J
m * 37.904 = 937.664
m = 937.664 ÷ 37.904
The mass of the metal is approximately 24.7 grams.
