Why does a bigger house need more energy to heat?

How much heat stored in an object depends on its mass, or size, as described by the formula below:

Q = cpm(Tfinal-Tinitial)

Note that the specific heats of the two rectangular objects are different. Your task is to change the size of one or both objects—hence the mass—so that the equilibrium temperature will be approximately 25°C.

  1. To change the size of an object, click and drag the small yellow rectangles at its edges.
  2. Make sure that the objects still touch each other but do not overlap and there is a thermometer in each object.
  3. Run the model and wait until the temperatures do not change any further.
  4. If the final temperatures are close to 25°C (within 1°C), write down the sizes of the objects in your workbook.
  5. Otherwise, click the Reset button, resize the objects, and run the model again until the final temperatures are close to 25°C (within 1°C).

You may use the grid and the ruler as visual assistance when you drag the rectangles.

Use the drop-down menu under the model to change to a different setup of specific heats and repeat the task.



Cases:
Graph: On Off     Grid: On Off