Textbook Question
Calculate each of the following temperatures in kelvins and degrees Fahrenheit:
b. The lowest recorded temperature in the world was –89.2 °C in Vostok, Antarctica, on July 21, 1983.
1. Matter and Measurements
Temperature (Simplified)
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At what temperature is the temperature in degrees Fahrenheit equal to the temperature in degrees Celsius?
A
0º
B
25º
C
-40º
D
-29º
Verified step by step guidance1
Understand the relationship between Fahrenheit and Celsius. The formula to convert Celsius to Fahrenheit is: \( F = \frac{9}{5}C + 32 \).
Set up the equation where the temperature in Fahrenheit \( F \) is equal to the temperature in Celsius \( C \). This means \( F = C \).
Substitute \( F = C \) into the conversion formula: \( C = \frac{9}{5}C + 32 \).
Rearrange the equation to solve for \( C \). Start by subtracting \( \frac{9}{5}C \) from both sides to get: \( C - \frac{9}{5}C = 32 \).
Combine like terms on the left side: \( \left(1 - \frac{9}{5}\right)C = 32 \). Simplify and solve for \( C \) to find the temperature where Celsius equals Fahrenheit.
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