Can you help me please?
A slice of pizza contains about 290 Calories, which is equal to about 1200 Kilojoules. If you burned your pizza as fuel to power an oven with a 1000W output, how long would one slice power this oven? Assume complete conversion of pizza energy to oven energy. Enter your answer in minutes, without including the units.
a Watt is a Joule per second
1000 W is 1kJ/s
1200 kJ means 1200 seconds at 1000 Watts
To find out how long one slice of pizza would power the oven, we can calculate the energy provided by the slice of pizza and then divide it by the power output of the oven.
First, let's convert 290 Calories to kilojoules:
1 Calorie = 4.184 kilojoules
So, 290 Calories = 290 * 4.184 kilojoules = 1211.36 kilojoules
Now, we can calculate the time using the following formula:
Time (in seconds) = Energy (in kilojoules) / Power (in kilowatts)
The power output of the oven is given as 1000W. To convert it to kilowatts:
1 kilowatt = 1000W
So, the power output of the oven is 1000/1000 = 1 kilowatt.
Now, let's calculate the time in seconds:
Time (in seconds) = 1211.36 kilojoules / 1 kilowatt
Simplifying, we get:
Time (in seconds) = 1211.36 seconds
To convert seconds to minutes, we divide by 60:
Time (in minutes) = 1211.36 seconds / 60
Finally, evaluating the expression:
Time (in minutes) = 20.19 minutes (rounded to two decimal places)
Therefore, one slice of pizza would power the oven for approximately 20.19 minutes.
Sure! To find out how long one slice of pizza would power the oven, we need to calculate the total energy content of the pizza slice in kilojoules, and then divide it by the power output of the oven in kilojoules per minute.
First, let's calculate the energy content of the pizza slice. We know that one slice contains 1200 kilojoules.
Now, let's convert the power output of the oven from watts to kilojoules per minute. We know that 1 watt is equal to 1 joule per second, and there are 60 seconds in a minute. Therefore, the power output of the oven is 1000 joules per second, which is equivalent to 1000 kilojoules per minute.
Next, we divide the energy content of the pizza slice by the power output of the oven:
1200 kilojoules / 1000 kilojoules per minute = 1.2 minutes.
So, one slice of pizza would power the oven for approximately 1.2 minutes.