# Calculate the Change in Thermal Energy for a Copper Pipe

## What is the specific heat of copper?

The specific heat of copper is 385 J/kg°C.

## What is the mass of the copper pipe?

The mass of the copper pipe is 8 kg.

## What is the initial temperature of the copper pipe?

The initial temperature of the copper pipe is 12°C.

## What is the final temperature of the copper pipe?

The final temperature of the copper pipe is 2°C.

## What is the change in thermal energy for the copper pipe?

The change in thermal energy for the copper pipe is -30800 J.

## Answers:

The specific heat of copper is 385 J/kg°C, the mass of the copper pipe is 8 kg, the initial temperature is 12°C, and the final temperature is 2°C. The change in thermal energy for the copper pipe is -30800 J.

When calculating the change in thermal energy for a copper pipe, we need to consider the specific heat of copper, the mass of the pipe, and the temperature difference. In this case, the specific heat of copper is 385 J/kg°C, the mass of the pipe is 8 kg, the initial temperature is 12°C, and the final temperature is 2°C. Since the temperature decreased from 12°C to 2°C, we have a temperature difference of -10°C.

The formula for calculating the change in thermal energy (Q) is Q = mcΔT, where m is the mass, c is the specific heat, and ΔT is the change in temperature. By substituting the values into the formula, we get Q = 8 kg * 385 J/kg°C * -10°C, which results in a change in thermal energy of -30800 J.

A negative value indicates a loss in thermal energy, which means that the copper pipe lost thermal energy as it cooled down. This calculation demonstrates how changes in temperature can affect the thermal energy of an object.