Final answer:
To find the final temperature when a 1-kilogram block of iron at 40°C is placed in 1 kilogram of water at 20°C, we can use the principle of heat transfer.
Step-by-step explanation:
To find the final temperature when a 1-kilogram block of iron at 40°C is placed in 1 kilogram of water at 20°C, we can use the principle of heat transfer. The heat lost by the iron is equal to the heat gained by the water:
Calculate the heat lost by the iron using the formula Q = mcΔT, where Q is the heat, m is the mass, c is the specific heat capacity, and ΔT is the change in temperature.
Calculate the heat gained by the water using the same formula.
Set the two equations equal to each other and solve for the final temperature.
Using the specific heat capacities of iron and water, which are 0.45 kJ/kg°C and 4.18 kJ/kg°C respectively, we can find that the final temperature is approximately 25.71°C.