Question

A 850 g aluminum pan is removed from the stove and plunged into a sink filled with 13.0 L of water at 19.0 ∘C. The water temperature quickly rises to 24.5 ∘C.

Part A

What was the initial temperature of the pan in ∘C?

Express your answer with the appropriate units.

Answer 1

To find the initial temperature of the aluminum pan, we can use the concept of heat transfer and the equation for the rate of heat transfer.

Step-by-step explanation:

The question asks for the initial temperature of the aluminum pan before it was placed in the sink with water. To solve this, we can use the concept of heat transfer and the equation for the rate of heat transfer:

Q = mcΔT

Where Q is the heat transfer, m is the mass, c is the specific heat capacity, and ΔT is the change in temperature.

Since the pan's temperature decreased while the water's temperature increased, we can assume that the heat lost by the pan is equal to the heat gained by the water.

Using the given information, we can set up the equation:

(m_pan)(c_aluminum)(ΔT_pan) = (m_water)(c_water)(ΔT_water)

Substituting the given values, we get:

(0.850 kg)(0.902 J/g°C)(T_i - 24.5°C) = (13.0 kg)(4.18 J/g°C)(24.5°C - 19.0°C)

Solving for T_i, the initial temperature of the pan, we find:

T_i = 97.6°C