Question

An insulated container is used to hold 45.5 g of water at 33.6 °C. A sample of copper weighing 14.8 g is placed in a dry test tube and heated for 30 minutes in a boiling water bath at 100.0°C. The heated test tube is carefully removed from the water bath with laboratory tongs and inclined so that the copper slides into the water in the insulated container. Given that the specific heat of solid copper is 0.385 J/(g·°C), calculate the maximum temperature of the water in the insulated container after the copper metal is added.

Answer 1

The maximum temperature of the water in the insulated container after the copper is added is approximately 37.4°C.

Step-by-step explanation:

In order to calculate the final temperature of the water after the copper is added, we can use the principle of heat transfer and the equation q(metal) = -q(water). This equation states that the heat lost by the copper is equal to the heat gained by the water.

We can calculate the heat gained by the water using the equation q(water) = mcΔT, where m is the mass of water, c is the specific heat of water (4.18 J/g°C), and ΔT is the change in temperature.

Using the given information, we can set up the equation: (14.8 g)(0.385 J/g°C)(- 33.6°C) = (45.5 g)(4.18 J/g°C)( - 33.6°C).

Simplifying and solving for we find that the maximum temperature of the water in the insulated container after the copper is added is approximately 37.4°C.