One chef places a pie in the oven at a low setting so that it is baked in one hour. another chief place a pie in the oven at a high setting so that the pie bakes in 30 minutes. is the amount of energy the same in each case? is the power the same?

In each case, (the pie in a low setting at one hour versus the pie in a high setting at thirty minutes) the amount of energy is the same. However, the amount of power is different. Since power is the amount of work put in certain amount of time, the power in the high setting is larger compared to the power in the low setting.