Question

What is the final temperature of mixture if 100gram of water at 70°C is added to 200 gram of milk at 10°C. The specific capacity of water and milk are supposed equal.

Answer 1

The final temperature of a mixture of 100g water at 70°C and 200g milk at 10°C with equal specific heat capacities can be found using the principle of calorimetry by equating the heat lost by water to the heat gained by milk and solving for the final temperature.

Step-by-step explanation:

To find the final temperature of a mixture when 100 grams of water at 70°C is combined with 200 grams of milk at 10°C, assuming equal specific heat capacities, we can apply the principle of calorimetry. The heat lost by the hot water will be equal to the heat gained by the colder milk when they reach thermal equilibrium.

Using the formula Q = mcΔT, where Q is the heat transferred, m is the mass, c is the specific heat capacity and ΔT is the change in temperature, we set the heat lost by water equal to the heat gained by milk since the specific heat capacities are said to be equal:

ΔT_water = T_final - 70°C

ΔT_milk = 10°C - T_final

(100g)(ΔT_water) = (200g)(ΔT_milk)

100(T_final - 70°C) = 200(10°C - T_final)

We can solve for T_final to find the final temperature of the mixture.