Question

in an insulated vessel, 250 g of ice at 08c is added to 600 g of water at 18.08c. (a) what is the final temperature of the system? (b) how much ice remains when the system reaches equilibrium?

Answer 1

To find the final temperature of the system, use the principle of conservation of energy. Then, determine the amount of ice that remains using the equation provided.

Step-by-step explanation:

To find the final temperature of the system, we can use the principle of conservation of energy. The energy lost by the water is equal to the energy gained by the ice. The equation we can use is:

m1 * c1 * (T1 - T) = m2 * Lf + m2 * c2 * (T - T2)

where m1 is the mass of water, c1 is the specific heat capacity of water, T1 is the initial temperature of the water, T is the final temperature of the system, m2 is the mass of ice, Lf is the latent heat of fusion of ice, c2 is the specific heat capacity of ice, and T2 is the initial temperature of the ice.

After finding the final temperature, we can determine the amount of ice that remains by using the equation:

m2_remain = m2 - (Lf * (T - T2)) / (Lf + c2)

Substituting the given values, we can calculate the final temperature and the remaining ice.