/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 4 Death Valley holds the record fo... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 10: Problem 4

Death Valley holds the record for the highest recorded temperature in the United States. On July 10, 1913 , at at place called Fumace Creek Ranch, the temperature rose to \(134^{\circ} \mathrm{F}\). The lowest U.S. temperature ever recorded occurred at Prospect Creek Camp in Alaska on January 23,1971, when the temperature plummeted to \(-79.8^{\circ}\) F. (a) Convert these temperatures to the Celsius scale. (b) Convert the Cielsius temperatures to Kelvin.

Short Answer

Expert verified
The highest recorded temperature in Celsius is \(56.67^{\circ} \mathrm{C}\) or \(329.82 K\) and the lowest recorded temperature in Celsius is \(-62.11^{\circ} \mathrm{C}\) or \(211.04 K\)

Step by step solution

01

Convert Fahrenheit to Celsius

To convert Fahrenheit to Celsius, use the formula \(C = (F - 32) * 5/9\). For the highest recorded temperature of \(134^{\circ} \mathrm{F}\), this will be \(C = (134 - 32)* 5/9 = 56.67^{\circ} \mathrm{C}\). For the lowest temperature of \(-79.8^{\circ}\), this will be \(C = (-79.8 - 32) * 5/9 = -62.11^{\circ} \mathrm{C}\).
02

Convert Celsius to Kelvin

To convert Celsius to Kelvin, use the formula \(K = C + 273.15\). Thus, for the highest temperature, this will be \(K = 56.67 + 273.15 = 329.82 K\). For the lowest temperature, \(K = -62.11 + 273.15 = 211.04 K\).

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

Key Concepts

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

Celsius
The Celsius scale is one of the most common temperature scales worldwide. Named after the Swedish astronomer Anders Celsius, it is used by most countries in the world for everyday temperature measurement. In the Celsius scale, water freezes at 0 degrees and boils at 100 degrees under standard atmospheric conditions.

When converting from Fahrenheit to Celsius, the formula to remember is:
  • \( C = (F - 32) \times \frac{5}{9} \).
This formula arises from the difference in the freezing and boiling points of water in the two scales. Simply put, subtract 32 from the Fahrenheit temperature and then multiply the result by \(\frac{5}{9}\).

For example, converting 134 degrees Fahrenheit to Celsius involves subtracting 32, which gives 102, and then multiplying by \(\frac{5}{9}\), resulting in approximately 56.67 degrees Celsius. This step is crucial in understanding the relation between Fahrenheit and Celsius and is a skill required in many scientific calculations.
Kelvin
Kelvin is the SI unit for temperature and is mainly used in scientific contexts where absolute temperatures are crucial. Unlike the Celsius and Fahrenheit scales, Kelvin does not use the degree symbol. The Kelvin scale starts at absolute zero, which is the point where all molecular motion stops.

To convert Celsius to Kelvin, the formula used is:
  • \( K = C + 273.15 \).
This simply means adding 273.15 to the Celsius temperature. The number 273.15 is derived from the difference between the freezing point of water in Celsius and the absolute zero in Kelvin.

For practical purposes, consider the converted temperature from the previous example. We take the Celsius answer, 56.67, and add 273.15, arriving at 329.82 Kelvin. This conversion is essential in many fields like physics and chemistry where absolute temperature measurements provide greater accuracy.
Fahrenheit
The Fahrenheit scale is primarily used in the United States for weather forecasting and some engineering applications. Proposed by Daniel Gabriel Fahrenheit in the early 18th century, this scale sets water's freezing point at 32 degrees and boiling at 212 degrees under atmospheric pressure.

The conversion from Fahrenheit to other temperature scales uses its unique characteristics. For instance, when converting to Celsius, remember the formula:
  • \( C = (F - 32) \times \frac{5}{9} \).
This reflects the differing points between the two scales for water's phase changes.

In the exercise example, we begin with temperatures at 134掳F and -79.8掳F. Applying the formula leads us to Celsius values of 56.67掳C and -62.11掳C, respectively. Understanding Fahrenheit is not only crucial for regional applications but also enhances cross-cultural scientific literacy and communication.

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

An expandable cylinder has its top connected to a spring with force constant \(2.00 \times 10^{3} \mathrm{~N} / \mathrm{m}\) (Fig. \(\left.\mathrm{P} 10.60\right)\). The cylinder is filled with \(5,00 \mathrm{~L}\) of gas with the spring relaxed at a pressure of \(1.00\) atm and a temperature of \(20.0^{\circ} \mathrm{C}\). (a) If the lid has a cross-sectional area of \(0.0100 \mathrm{~m}^{2}\) and negligible mass, how high will the lid rise when the temperature is raised to \(250^{\circ} \mathrm{C}_{-}^{2}\) (b) What is the pressure of the gas at \(250^{\circ} \mathrm{C}_{?}\)

What is the average kinetic energy of a molecule of oxygen at a temperature of \(300 \mathrm{~K}\) ?

A pair of eyeglass frames are made of epoxy plastic (coefficient of linear expansion \(=1.30 \times 10^{-4}{ }^{\circ} \mathrm{C}^{-1}\) ). At room temperature \(\left(20.0^{\circ} \mathrm{C}\right)\), the frames have circular lens holes \(2.20 \mathrm{~cm}\) in radius. To what temperature must the frames be heated if lenses \(2.21 \mathrm{~cm}\) in radius are to be inserted into them?

A bimetallic bar is made of two thin strips of dissimilar metals bonded together. As they are heated, the one with the larger average coefficient of expansion expands more than the other, forcing the bar into an arc, with the outer strip having both a larger radius and a larger circumference (Fig. P10.61). (a) Derive an expression for the angle of bending, \(\theta\), as a function of the initial length of the strips. their average coefficientsof linear expansion, the change in temperature, and the separation of the centers of the strips \(\left(\Delta r=r_{2}-r_{1}\right) .\) (b) Show that the angle of bending goes to zero when \(\Delta T\) goes to zero or when the two coefficients of expansion become equal. (c) What happens if the bar is cooled?

The pressure in a constant-volume gas thermometer is \(0.700 \mathrm{~atm}\) at \(100^{\circ} \mathrm{C}\) and \(0.512 \mathrm{~atm}\) at \(0^{\circ} \mathrm{C}\). (a) What is the temperature when the pressure is \(0.0400 \mathrm{~atm}^{2}(\mathrm{~b})\) What is the pressure at \(450^{\circ} \mathrm{C}\) ?
See all solutions

Recommended explanations on Physics Textbooks

Torque and Rotational Motion

Read Explanation

Medical Physics

Read Explanation

Waves Physics

Read Explanation

Dynamics

Read Explanation

Linear Momentum

Read Explanation

Kinematics Physics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.