Toy ovens made for children often use incandescent light bulbs as a heat source. Incandescent light bulbs are relatively inefficient at generating light. Approximately 95% of the energy they use is emitted as heat instead of light: that's bad for the planet, but great for aspiring young bakers.
Assume that it takes 10,000 Joules of energy to raise 100 grams of cake batter from room temperature (23 ∘ C) to 90 ∘ C (fully cooked). How many seconds would it take for a 100-Watt light bulb to output this much energy? Note: 1 Watt = 1 Joule per second. Enter your answer in seconds but without including the unit.
100 sec right?
I agree
To calculate the time it takes for a 100-Watt light bulb to output 10,000 Joules of energy, we can use the power-energy relationship:
Power (in Watts) = Energy (in Joules) / Time (in seconds)
Rearranging the formula to solve for time:
Time (in seconds) = Energy (in Joules) / Power (in Watts)
Given:
Energy = 10,000 Joules
Power = 100 Watts
Substituting the values into the formula:
Time (in seconds) = 10,000 Joules / 100 Watts
Dividing 10,000 by 100:
Time (in seconds) = 100
Therefore, it would take 100 seconds for a 100-Watt light bulb to output 10,000 Joules of energy.
To find out how many seconds it would take for a 100-Watt light bulb to output 10,000 Joules of energy, we can use the formula:
Energy = Power x Time
Rearranging the formula, we have:
Time = Energy / Power
Plugging in the values, we get:
Time = 10,000 Joules / 100 Watts
Since 1 Watt is equal to 1 Joule per second, we can cancel out the units and simplify the equation:
Time = 10,000 / 100 seconds
Dividing 10,000 by 100, we find:
Time = 100 seconds
Therefore, it would take 100 seconds for a 100-Watt light bulb to output 10,000 Joules of energy.