Walter baked two identical cakes. When he took them out of the oven, he left one cake in its pan and took the other cake out of its pan to put it on a plate. This table shows how the temperature of each cake changed over 5minutes.

Question

Cake Initial temperature (°C) Final temperature (°C)
Cake on the plate 94 79
Cake in the pan 94 82

Answer 1

The table provides the initial and final temperatures of both cakes over a period of 5 minutes. Here’s a summary of the temperature change for each cake:

Cake on the Plate:

• Initial temperature: \(94^\circ C\)
• Final temperature: \(79^\circ C\)
• Temperature change: \(79 - 94 = -15^\circ C\)

Cake in the Pan:

• Initial temperature: \(94^\circ C\)
• Final temperature: \(82^\circ C\)
• Temperature change: \(82 - 94 = -12^\circ C\)

Comparison:

• Temperature change for Cake on the Plate: \(-15^\circ C\) (Cooled down more quickly)
• Temperature change for Cake in the Pan: \(-12^\circ C\) (Cooled down less quickly)

Conclusion:

The cake on the plate cooled down faster than the cake in the pan during the 5-minute time period. This difference can be attributed to the fact that the cake on the plate is exposed to air all around, while the cake in the pan is insulated by the pan itself, which slows down the heat loss.