Convert the temperature of dry ice, $-77.0^{\circ} C$, into ${ }^{\circ} F$.
$[?]{ }^{\circ} F$
Answer (1)
Convert Celsius to Fahrenheit using the formula: F = 5 9 C + 32 .
Substitute C = − 77.0 into the formula: F = 5 9 ( − 77.0 ) + 32 .
Calculate the value of F: F = − 138.6 + 32 = − 106.6 .
The temperature of dry ice in Fahrenheit is − 106. 6 ∘ F .
Explanation
Problem Analysis We are given the temperature of dry ice in Celsius, which is − 77. 0 ∘ C , and we want to convert it to Fahrenheit.
Conversion Formula To convert Celsius to Fahrenheit, we use the formula: F = 5 9 C + 32 where F is the temperature in Fahrenheit and C is the temperature in Celsius.
Substitution Now, we substitute the given Celsius temperature, C = − 77.0 , into the formula: F = 5 9 ( − 77.0 ) + 32
Calculation Let's calculate the value of F : F = 5 9 ( − 77.0 ) + 32 = − 138.6 + 32 = − 106.6
Final Answer Therefore, the temperature of dry ice in Fahrenheit is − 106. 6 ∘ F .
Examples
Temperature conversion is a common task in many real-world scenarios. For example, when traveling to a country that uses a different temperature scale, you need to convert temperatures to understand the weather forecast. Also, in scientific research, it's often necessary to convert temperatures between Celsius and Fahrenheit for data analysis and reporting. Understanding how to convert between temperature scales allows us to interpret information and communicate effectively in various situations.
