Answer :
Final answer:
To find the final temperature of the mixture, we need to use the principle of conservation of energy and calculate the energy gained by the water and the energy lost by the ice. Using the mass, specific heat capacity, and change in temperature of the water, as well as the mass and latent heat of fusion of the ice, we can solve for the final temperature. In this case, the final temperature of the mixture is 0 degrees Celsius.
Explanation:
To find the final temperature of the mixture, we can use the principle of conservation of energy. The energy gained by the water at 25 degrees Celsius will be equal to the energy lost by the ice at zero degrees Celsius. We can calculate the energy gained by the water using the formula Q = mcΔT, where Q is the heat energy gained, m is the mass of the water, c is the specific heat capacity of water, and ΔT is the change in temperature.
The energy lost by the ice that melts can be calculated using the formula Q = mL, where Q is the heat energy lost, m is the mass of the ice, and L is the latent heat of fusion of ice. Once we have the energy gained by the water and the energy lost by the ice, we can use the principle of conservation of energy to determine the final temperature. We set the gained energy equal to the lost energy and solve for the final temperature.
Since we know the initial temperatures and masses of the water and ice, we can substitute these values into the formulas and calculate the final temperature. In this case, the final temperature of the mixture will be 0 degrees Celsius (option a). This is because the energy gained by the water at 25 degrees Celsius is enough to melt the ice at zero degrees Celsius without increasing the temperature of the mixture.
