Question

An aluminum can of mass 300g contains 150g of water at a temperature of 30°c. If a 200g of block of iron at 60°c is dropped in to the can find the final temperature of the system.

a. 45°C

b. 60°C

c. 40°C

d. 50°C

Answer 1

To find the final temperature of the system, we apply the principle of conservation of energy. The final temperature is 40°C.

Step-by-step explanation:

To find the final temperature of the system, we need to apply the principle of conservation of energy. The heat lost by the iron block is equal to the heat gained by the water and the aluminum can.

Let's calculate the heat lost by the iron block using the formula Q = mcΔT, where Q is the heat lost, m is the mass, c is the specific heat capacity, and ΔT is the change in temperature.

Similarly, we can calculate the heat gained by the water using the same formula. Once we know the heat gained by the water, we can use it to calculate the final temperature of the system.

Using these calculations, we find that the final temperature of the system is 40°C (option c).