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Follow-up Find the Celsius temperature that corresponds to \(110^{\circ} \mathrm{F}\).

Short Answer

Expert verified
The Celsius equivalent of \(110^{\circ} \mathrm{F}\) is approximately \(43.33^{\circ} \mathrm{C}\).

Step by step solution

01

Understand the Formula

To convert a temperature from Fahrenheit to Celsius, we use the formula: \( C = \frac{5}{9} ( F - 32 ) \), where \( C \) represents the temperature in Celsius and \( F \) represents the temperature in Fahrenheit.
02

Substitute the Fahrenheit Temperature

Insert the given Fahrenheit temperature \( F = 110^{\circ} \) into the formula: \( C = \frac{5}{9} ( 110 - 32 ) \).
03

Simplify Inside the Parentheses

Calculate the expression within the parentheses: \( 110 - 32 = 78 \). Now the equation is \( C = \frac{5}{9} \times 78 \).
04

Multiply by the Fraction

Multiply \( 78 \) by \( \frac{5}{9} \) to find the Celsius temperature: \( C = \frac{5 \times 78}{9} = \frac{390}{9} \).
05

Compute the Final Answer

Divide \( 390 \) by \( 9 \) to find the Celsius temperature: \( C \approx 43.33 \).

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Temperature Conversion
Temperature conversion plays a crucial role in understanding how different temperature scales relate to each other. You might often need to switch between Fahrenheit and Celsius when reading a global weather report or cooking from recipes from around the world. In general, temperature conversion is about converting a value from one temperature scale to another. This is vital because countries and industries might use different scales for practical reasons.
To convert temperatures, it involves using specific formulas designed for each pair of scales you need to convert between.
  • The formula for converting Fahrenheit to Celsius is: \[ C = \frac{5}{9} ( F - 32 ) \]
  • For Celsius to Fahrenheit, the formula is: \[ F = \frac{9}{5} C + 32 \]
Understanding these formulas helps greatly in making accurate conversions, especially in scientific applications. Always remember to substitute numbers carefully and pay attention to correct units.
Celsius Temperature
The Celsius temperature scale is widely used around the world, especially in scientific contexts and by most countries for everyday weather measurement. This scale is part of the metric system. The key points to note about Celsius include:
  • It's based on the properties of water, which freezes at \(0^{\circ}C \) and boils at \(100^{\circ}C \) under standard atmospheric conditions.
  • The Celsius scale is sometimes referred to as the centigrade scale because of the 100-degree interval between the defined points of water's freezing and boiling points.
  • It provides an easy way to interpret heat levels, especially in scientific equations due to its relation to thermodynamic temperature (Kelvin).
By understanding the Celsius scale, you can easily read and perform conversions for temperatures involving everyday situations and scientific formulas.
Fahrenheit Temperature
The Fahrenheit temperature scale is primarily used in the United States and a few other countries. It might seem more complex to understand and use due to different reference points compared to Celsius, but it has its unique features.
  • On the Fahrenheit scale, water freezes at \(32^{\circ}F \) and boils at \(212^{\circ}F \) under standard atmospheric pressure.
  • This scale was developed by Daniel Gabriel Fahrenheit in the early 18th century and was designed to allow for more precise readings in meteorological settings before the widespread use of scientific instruments.
  • Although not part of the metric system, the Fahrenheit scale is preferred by those who find its smaller change in temperature per degree useful for everyday temperature readings.
Understanding Fahrenheit enables you to manage temperature-related tasks and make informed decisions, especially if you are in regions where it's predominantly used.

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Most popular questions from this chapter

. Calculate How much thermal energy must be removed from \(0.96 \mathrm{~kg}\) of water at \(0^{\circ} \mathrm{C}\) to make ice cubes at \(0^{\circ} \mathrm{C}\) ?

PA brass plate has a circular hole whose diameter is slightly smaller than the diameter of an aluminum ball. (a) If the ball and the plate are always kept at the same temperature, should the temperature of the system be increased or decreased in order for the ball to fit through the hole? (b) Choose the best explanation from among the following: A. The aluminum ball changes its diameter more with temperature than the brass plate changes its dimensions, and therefore the temperature should be decreased. B. Changing the temperature won't change the fact that the ball is larger than the hole. C. Heating the brass plate makes its hole larger, which will allow the ball to pass through.

Assess Your friend claims that stirring a glass of water with a spoon increases the temperature of the water. Is he right? Explain.

The Cricket Thermometer The rate of chirping of the snowy tree cricket (Oecanthus fultoni Walker) varies with temperature in a predictable way. A linear relationship provides a good match to the chirp rate, but an even more accurate relationship is the following: $$ N=\left(5.63 \times 10^{10}\right) e^{-(6290 K) / T} $$ In this expression, \(N\) is the number of chirps in \(13.0 \mathrm{~s}\) and \(T\) is the temperature in kelvins. If a cricket is observed to chirp 185 times in \(60.0 \mathrm{~s}\), what is the temperature in degrees Celsius?

Mrs. Green uses solar power to heat water. Her solar collector has an area of \(5.5 \mathrm{~m}^{2}\) and receives sunlight that delivers a power of \(520 \mathrm{~W} / \mathrm{m}^{2}\). How much time is required to heat \(45 \mathrm{~kg}\) of water by \(12{ }^{\circ} \mathrm{C}\) ?

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