Final answer:
To find the equilibrium temperature, calculate the heat transferred from the copper block and the aluminum calorimeter cup to the water and add them together. Then, use the equation for heat transferred to the water to solve for the change in temperature of the water. Finally, add the change in temperature of the water to the initial temperature to find the equilibrium temperature.
Step-by-step explanation:
Step 1:
Calculate the heat transferred from the copper block to the water using the equation:
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.
For copper, the specific heat capacity is 0.39 J/g°C and the change in temperature is the final temperature of the system (equilibrium temperature) minus the initial temperature of the copper block.
For water, the specific heat capacity is 4.18 J/g°C and the change in temperature is the final temperature of the system minus the initial temperature of the water.
Step 2:
Calculate the heat transferred from the aluminum calorimeter cup to the water using the same equation.
The mass of the aluminum calorimeter cup is 145 g and the specific heat capacity is 0.897 J/g°C.
Step 3:
Add the heat transfers from the copper block and the aluminum calorimeter cup together to find the total heat transferred to the water.
Step 4:
Use the equation for heat transferred to the water:
Q = mcΔT
Where Q is the total heat transferred, m is the mass of the water, c is the specific heat capacity of water, and ΔT is the change in temperature.
Substitute the values into the equation and solve for ΔT, the change in temperature of the water.
Step 5:
Add the change in temperature of the water to the initial temperature of the water to find the equilibrium temperature.