Question

A 440. g sample of mercury (s = 0.140 J/g·°C) has an initial temperature of 22.0 °C is placed into 134 g of water at 35.0 °C. Calculate the final temperature of the system at thermal equilibrium?

Answer 1

To find the final temperature of the system at thermal equilibrium, we can use the principle of conservation of energy. The heat lost by the mercury will be equal to the heat gained by the water. The final temperature of the system at thermal equilibrium is approximately 31.0 °C.

Step-by-step explanation:

To find the final temperature of the system at thermal equilibrium, we can use the principle of conservation of energy. The heat lost by the mercury will be equal to the heat gained by the water.

The heat lost by the mercury can be calculated using the formula Q = m * c * ΔT, where Q is the heat, m is the mass, c is the specific heat capacity, and ΔT is the change in temperature. The heat gained by the water can be calculated in the same way.

Setting the two equations equal to each other and solving for the final temperature, we can find that the final temperature of the system at thermal equilibrium is approximately 31.0 °C.