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Lowest Temperature on Earth The official record for the lowest temperature ever recorded on Earth was set at Vostok, Antarctica, on July \(21,1983 .\) The temperature on that day fell to \(-89.2^{\circ} \mathrm{C},\) well below the temperature of dry ice. What is this temperature in degrees Fahrenheit?

Short Answer

Expert verified
The temperature \(-89.2^{\circ} \mathrm{C}\) is equivalent to \(-128.56^{\circ} \mathrm{F}\).

Step by step solution

01

Understanding the Temperature Conversion Formula

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

Substituting the Celsius Temperature

Insert the given Celsius temperature, \(-89.2^{\circ} \mathrm{C}\), into the formula: \( F = \frac{9}{5}(-89.2) + 32 \).
03

Calculating the Fraction

First, calculate the fraction part: \( \frac{9}{5} \times (-89.2) = -160.56 \).
04

Adding the Constant

Now, add 32 to the result from the previous step: \( F = -160.56 + 32 \).
05

Final Calculation

Calculate the final result: \( F = -160.56 + 32 = -128.56 \). Hence, the temperature in Fahrenheit is \(-128.56^{\circ} \mathrm{F}\).

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Key Concepts

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

Celsius to Fahrenheit conversion
Converting temperatures between Celsius and Fahrenheit is a fundamental skill in science and everyday life. This process uses a straightforward mathematical formula. The relationship between these two temperature scales is expressed through the equation:
  • \( F = \frac{9}{5}C + 32 \)
where \( F \) stands for Fahrenheit, and \( C \) represents Celsius.

To convert a temperature from Celsius to Fahrenheit, you follow a simple two-step process:
  • First, multiply the Celsius temperature by \( \frac{9}{5} \).
  • Then, add 32 to the result.This adjusts for the different starting points and scales of the two systems.
If temperatures need converting in the opposite direction, from Fahrenheit to Celsius, you can use the inverse formula:
  • \( C = \frac{5}{9}(F - 32) \)
Mastering these conversions is particularly useful in scientific research, travel, and when following international recipes.
lowest temperature record
The lowest temperature ever recorded on Earth provides a fascinating look into our planet's climatic extremes. This record was set at Vostok Station in Antarctica on July 21, 1983. The temperature plummeted to a chilling \(-89.2^{\circ} \mathrm{C} \), a figure that captures the harsh realities of one of the coldest places on Earth.

Understanding such extreme temperatures is crucial for several reasons:
  • It highlights the capabilities of Earth's diverse climate systems.
  • Such records are vital for researchers studying global weather patterns and climate change.
  • The data aid in the development of technology and strategies for living and working in extremely cold environments.
This extraordinary temperature is lower than the sublimation point of dry ice (carbon dioxide), which sublimates at \(-78.5^{\circ} \mathrm{C} \). The record at Vostok indicates just how severe and unique the climate in Antarctica can be.
mathematical calculation steps
Successfully converting Celsius to Fahrenheit involves several clear mathematical steps. Let's break these down focusing on the example of the temperature \(-89.2^{\circ} \mathrm{C} \), the lowest recorded on Earth.First, you use the conversion formula: \( F = \frac{9}{5}C + 32 \).

1. **Inserting the Value**: Replace \( C \) with \(-89.2 \).2. **Calculating the Fraction**: Multiply \( \frac{9}{5} \times (-89.2) \) to get \(-160.56 \).3. **Adding the Constant**: Add 32 to \(-160.56 \), which yields \(-128.56 \).Each of these steps is essential to ensuring an accurate conversion. Calculations involving negative numbers, as demonstrated here, require careful attention to arithmetic rules.

These steps result in a temperature of \(-128.56^{\circ} \mathrm{F} \), accurately reflecting the conversion from the record-breaking cold experienced in Antarctica.

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Most popular questions from this chapter

Greatest Change in Temperature A world record for the greatest change in temperature was set in Spearfish, SD, on January 22,1943 . At 7: 30 a.M. the temperature was \(-4.0^{\circ} \mathrm{F}\); two minutes later the temperature was \(45^{\circ} \mathrm{F}\). Find the average rate of temperature change during those two minutes in kelvins per second.

The temperature at the surface of the Sun is about \(6000 \mathrm{K}\). Convert this temperature to the (a) Celsius and (b) Fahrenheit scales.

Normal body temperature for humans is \(98.6^{\circ} \mathrm{F}\). What is the corresponding temperature in (a) degrees Celsius and (b) kelvins?

A \(226-\mathrm{kg}\) rock sits in full sunlight on the edge of a cliff \(5.25 \mathrm{m}\) high. The temperature of the rock is \(30.2^{\circ} \mathrm{C}\). If the rock falls from the cliff into a pool containing \(6.00 \mathrm{m}^{3}\) of water at \(15.5^{\circ} \mathrm{C}\), what is the final temperature of the rock- water system? Assume that the specific heat of the rock is \(1010 \mathrm{J} /(\mathrm{kg} \cdot \mathrm{K})\).

The specific heat of alcohol is about half that of water. Suppose you have \(0.5 \mathrm{kg}\) of alcohol at the temperature \(20^{\circ} \mathrm{C}\) in one container, and \(0.5 \mathrm{kg}\) of water at the temperature \(30^{\circ} \mathrm{C}\) in a second container. When these fluids are poured into the same container and allowed to come to thermal equilibrium, (a) is the final temperature greater than, less than, or equal to \(25^{\circ} \mathrm{C} ?\) (b) Choose the best explanation from among the following: I. The low specific heat of alcohol pulls in more heat, giving a final temperature that is less than \(25^{\circ}\). II. More heat is required to change the temperature of water than to change the temperature of alcohol. Therefore, the final temperature will be greater than \(25^{\circ}\). III. Equal masses are mixed together; therefore, the final temperature will be \(25^{\circ},\) the average of the two initial temperatures.

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