Convert the temperature equivalent to 30 degrees Celsius to degrees Fahrenheit, using the formula F = 1.8C + 32 *
The Correct Answer and Explanation is :
To convert 30 degrees Celsius (°C) to degrees Fahrenheit (°F) using the formula ( F = 1.8C + 32 ), you can substitute the value of ( C ) into the formula:
[
F = 1.8(30) + 32
]
Calculating the multiplication first:
[
F = 54 + 32
]
Now, adding the two results together:
[
F = 86
]
So, 30 degrees Celsius is equivalent to 86 degrees Fahrenheit.
Explanation of the Conversion Process
Temperature conversion between Celsius and Fahrenheit involves understanding the relationship between the two scales. The Celsius scale is based on the freezing and boiling points of water, where 0°C is the freezing point and 100°C is the boiling point. In contrast, the Fahrenheit scale sets the freezing point of water at 32°F and the boiling point at 212°F.
The formula used for conversion is ( F = 1.8C + 32 ). Here’s how it works: the factor of 1.8 (or (\frac{9}{5})) accounts for the difference in the size of the degree between the two scales. For every degree Celsius, there are 1.8 degrees Fahrenheit increase. The constant 32 adjusts the scale so that the freezing point of water corresponds accurately in both temperature systems.
In this specific case, we took 30°C and applied it directly to the formula. By multiplying 30 by 1.8, we determine how many degrees Fahrenheit correspond to that value on the Celsius scale. The addition of 32 ensures that we align the starting points of both temperature scales.
This conversion is crucial in various fields, such as science, engineering, and everyday life, where temperature measurements can come from different systems. Being able to convert between these two scales allows for better communication and understanding in international contexts, where Celsius is more commonly used in most countries, while Fahrenheit remains prevalent in the United States.