Answer :
Final answer:
To find the mass of the copper coin, we apply the conservation of energy, equating the heat lost by the coin to the heat gained by the water. After solving the equation with the given specific heat capacities and temperature changes, the mass of the coin is calculated to be 0.19 kg.
Therefore, the correct answer to the question is:D. 0.19kg
Explanation:
The question asks us to determine the mass of the copper coin based on its specific heat capacity and the temperature change it undergoes when placed in water. We can use the principle of conservation of energy where the heat lost by the coin equals the heat gained by the water.
Heat lost by the coin = heat gained by the water
- mcoin × ccoin × ΔTcoin = mwater × cwater × ΔTwater
Given:
- ccoin = 387 J/kg·°C (specific heat of copper)
- cwater = 4186 J/kg·°C (specific heat of water)
- mwater = 101 kg
- ΔTwater = 8.39°C
- ΔTcoin = 68°C
We are looking for mcoin (mass of the coin). Plugging in the numbers:
mcoin × 387 J/kg·°C × 68°C = 101 kg × 4186 J/kg·°C × 8.39°C
Solving for mcoin, we find that the mass of the coin is 0.19 kg, which is answer option D.
