Each increase of 10 degrees Celsius the reaction speed rises to 3 times that. The time it takes to react at a temperature of 25 degrees Celsius is 9 minutes. Determine the time needed at a temperature of 55 degrees Celsius.
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Penjelasan:
From the information given, we know that for every increase of 10 degrees Celsius, the reaction speed triples. This means that the reaction rate at 55 degrees Celsius is 3^3 = 27 times faster than at 25 degrees Celsius.
Let's assume that the time it takes to react at 55 degrees Celsius is t minutes. Using the information given, we can set up a proportion:
time at 25 degrees Celsius / time at 55 degrees Celsius = rate at 55 degrees Celsius / rate at 25 degrees Celsius
Plugging in the values we know, we get:
9 minutes / t minutes = 27 / 1
Simplifying this proportion, we get:
27t = 9
Dividing both sides by 27, we get:
t = 1/3
Therefore, the time it takes to react at a temperature of 55 degrees Celsius is 1/3 of a minute, or 20 seconds.