The stove in the kitchen must be kept at 350 degrees F. to bake a cake. the cake is suppose to be complete in 25 minutes. But it is taking longer because the stove is 50 degrees lower(300) away from what it is suppose to be. So how long will it tale for the cake to finish baking.
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To solve this problem, we need to consider the relationship between temperature and baking time for the cake. Typically, recipes are designed with specific cooking times and temperatures to achieve the desired result.
In this case, the stove is 50 degrees lower than the required temperature of 350 degrees Fahrenheit. Now, we need to determine the effect this temperature difference has on the cooking time.
To do this, we need to understand the concept of "thermal equilibrium," which means that an object placed in an environment with a different temperature will eventually reach the same temperature as its surroundings.
Assuming the stove and the cake will eventually reach thermal equilibrium, we can calculate the time it will take for the cake to reach the desired temperature of 350 degrees Fahrenheit.
First, we note the temperature difference of 50 degrees Fahrenheit. We need to determine how long it will take for the cake to increase in temperature by that amount.
To calculate the time required, we can use the formula:
(Time1 x Temp1) = (Time2 x Temp2)
Time1 = 25 minutes (original cooking time)
Temp1 = 350 degrees Fahrenheit (original cooking temperature)
Temp2 = 300 degrees Fahrenheit (actual stove temperature)
After substituting the values into the formula, we get:
(25 minutes x 350 degrees) = (Time2 x 300 degrees)
Simplifying the equation, we have:
8750 = (Time2 x 300)
Now, let's solve for Time2:
Time2 = 8750 รท 300
By dividing the left side of the equation by 300, we find that:
Time2 = 29.17 minutes
Therefore, it will take approximately 29.17 minutes for the cake to finish baking at a stove temperature of 300 degrees Fahrenheit.