The table shows the same data about how the temperature of each cake changed over 5minutes.

Question

Cake Initial temperature (°C) Final temperature (°C)
Cake in the pan 96 82
Cake on the plate 96 78
Which statement is correct?
A. thermal energy was transferred more quickly out of the cake in the pan
B. thermal energy was transferred more quickly out of the cake on the plate.
C. thermal energy was transferred out of both cakes at the same rate

Answer 1

To determine which statement is correct regarding the thermal energy transfer of the cakes, we can analyze the change in temperature over the 5-minute period.

1. Cake in the pan:

   • Initial Temperature: 96 °C
   • Final Temperature: 82 °C
   • Change in Temperature: 96 °C - 82 °C = 14 °C

2. Cake on the plate:

   • Initial Temperature: 96 °C
   • Final Temperature: 78 °C
   • Change in Temperature: 96 °C - 78 °C = 18 °C

Now, let’s compare the rate of temperature change:

• The cake in the pan lost 14 °C over 5 minutes.
• The cake on the plate lost 18 °C over 5 minutes.

Conclusion: Since the cake on the plate lost a greater temperature (18 °C) compared to the cake in the pan (14 °C), we can conclude that thermal energy was transferred more quickly out of the cake on the plate.

Therefore, the correct statement is: B. thermal energy was transferred more quickly out of the cake on the plate.