객관식
Which of the following shows the correct formula for converting temperature from kelvins to degrees Celsius?
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1. Intro to General Chemistry
Temperature
객관식
At what temperature is the reading on the Fahrenheit scale exactly twice the reading on the Celsius scale?
A
100 °C
B
212 °C
C
160 °C
D
80 °C
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검증된 단계별 안내1
Let the temperature in Celsius be represented by \(C\) and the temperature in Fahrenheit be represented by \(F\).
Recall the conversion formula between Celsius and Fahrenheit: \(F = \frac{9}{5}C + 32\).
According to the problem, the Fahrenheit temperature is exactly twice the Celsius temperature, so set up the equation: \(F = 2C\).
Substitute \(F\) from the conversion formula into the equation: \(\frac{9}{5}C + 32 = 2C\).
Solve the equation for \(C\) by isolating \(C\) on one side: \(\frac{9}{5}C + 32 = 2C \implies 32 = 2C - \frac{9}{5}C = \left(2 - \frac{9}{5}\right)C\).
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