Multiple Choice
What is the temperature 106°F expressed in degrees Celsius?
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1. Intro to General Chemistry
Temperature
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Why is -40 degrees Fahrenheit equal to -40 degrees Celsius?
A
Because -40 is the lowest temperature possible in both scales.
B
Because the conversion formula between Fahrenheit and Celsius results in the same value at -40.
C
Because the difference between the two scales is always 40 degrees.
D
Because both scales are based on the freezing point of water.
Verified step by step guidance1
Recall the formula to convert Fahrenheit (F) to Celsius (C): \(C = \frac{5}{9} (F - 32)\).
Set the Celsius temperature equal to the Fahrenheit temperature to find the point where they are the same: \(C = F\).
Substitute \(C\) with \(F\) in the conversion formula: \(F = \frac{5}{9} (F - 32)\).
Multiply both sides of the equation by 9 to eliminate the denominator: \$9F = 5(F - 32)$.
Expand and solve for \(F\): \$9F = 5F - 160\(, then rearrange to isolate \)F$ and find the temperature where both scales are equal.
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