Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 2: Problem 127

What temperature in degrees Fahrenheit is it if the thermometer reads \(25^{\circ}\) Celsius? Use the formula \(F=\frac{9}{5} C+32\) A. \(32^{\circ}\) B. \(57^{\circ}\) C. \(65^{\circ}\) D. \(77^{\circ}\)

Short Answer

Expert verified
D. \(77^{\circ}\)

Step by step solution

01

- Understand the formula

The problem provides a formula to convert Celsius to Fahrenheit: \[ F = \frac{9}{5}C + 32 \] Here, \(F\) is the temperature in degrees Fahrenheit and \(C\) is the temperature in degrees Celsius.
02

- Identify the given value

The given temperature in degrees Celsius is \(25^{\circ}\). This value will be substituted into the formula.
03

- Substitute the value into the formula

Replace \(C\) in the formula with 25: \[ F = \frac{9}{5} \times 25 + 32 \]
04

- Calculate the product

First, calculate \( \frac{9}{5} \times 25 \): \[ \frac{9}{5} \times 25 = 45 \]
05

- Complete the calculation

Now, add 32 to the product calculated in the previous step: \[ 45 + 32 = 77 \]
06

- Select the correct answer

The temperature in degrees Fahrenheit is \(77^{\circ}\). The correct answer is D. \(77^{\circ}\)

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.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Key Concepts

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

Celsius to Fahrenheit formula
Temperature conversion between scales is fundamental in various fields like science and daily life. One widely used conversion is from Celsius to Fahrenheit. The formula for this conversion is:

\[ F = \frac{9}{5} C + 32 \]

This equation shows how to convert a temperature in Celsius (\(C\)) to Fahrenheit (\(F\)). Each part of the formula plays a crucial role:

  • Multiply by \(\frac{9}{5}\): This fraction converts the Celsius scale to an equivalent Fahrenheit scale for the temperature range.
  • Add 32: This step adjusts for the difference in the starting points of the two scales. While Celsius starts at 0 for freezing water, Fahrenheit starts at 32.


Understanding this relationship is essential for accurate conversions, especially when working in scientific fields or traveling to different countries.
temperature calculation
Let's break down the calculation for converting \(25^{\text{°}}C\) to Fahrenheit using the formula.

First, we identify that C (degrees Celsius) is 25. We substitute this value into our formula:

\( F = \frac{9}{5} \times 25 + 32 \)

  • Step 1: Calculate \(\frac{9}{5} \times 25\)

    This part converts the 25 degrees Celsius to a proportionate Fahrenheit range. The calculation is:

    \[ \frac{9}{5} \times 25 = 45 \]
  • Step 2: Add 32 to the product obtained above.
    This shifts the adjustment to the Fahrenheit scale, given by:

    \[ 45 + 32 = 77 \]

The final converted temperature is \(77^{\text{°}}F\). This sound understanding allows students to handle similar problems more confidently.
math problem solving in science
Math is integral to understanding many scientific concepts. In our temperature conversion problem, systematic problem-solving steps are key:

  • Understanding the problem: Recognize the need to convert Celsius to Fahrenheit and identify the formula.
  • Substitution: Insert the given values into the recognized formula.
  • Performing calculations: Break calculations into smaller steps (multiplying first, then adding).
  • Verification: Check if the final value makes sense within expected ranges (here, ensuring the converted temperature is around 77°F).


These basic principles can be used across various scientific fields, from physics to chemistry, helping students apply mathematical reasoning to solve diverse problems effectively. Encouraging this analytical method fosters deeper comprehension and prepares students for more complex scientific challenges.

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

A gas in a container is at a pressure of \(151,500 \mathrm{~Pa}\) and a volume of \(4 \mathrm{~L}\). What is the work done by the gas if it expands at constant pressure to twice its initial volume? A. \(606 \mathrm{~J}\) B. \(60,600 \mathrm{~J}\) C. \(60.6000 \mathrm{~J}\) D. \(606,000 \mathrm{~J}\)

If a cyclist in the Tour de France travels southwest a total distance of \(12,250 \mathrm{~m}\) in 1 hour, what would the velocity of the cyclist be? A. \(3.80 \mathrm{~m} / \mathrm{s}\) southwest B. \(3.40 \mathrm{~m} / \mathrm{s}\) southwest C. \(3.40 \mathrm{~m} / \mathrm{s}\) northwest D. \(3.80 \mathrm{~m} / \mathrm{s}\) southeast

What is the relationship between fossil fuels and the greenhouse effect? A. Burning fossil fuels decreases incoming solar radiation. B. Burning fossil fuels decreases the absorption capacity of greenhouse gases. C. Burning fossil fuels lowers the greenhouse effect. D. Burning fossil fuels releases carbon dioxide, which is a greenhouse gas.

Which two elements are expected to have similar chemical properties? A. \(\mathrm{C}\) and \(\mathrm{B}\) B. \(\mathrm{H}\) and \(\mathrm{He}\) C. \(\mathrm{Ca}\) and \(\mathrm{Sr}\) D. \(\mathrm{N}\) and \(\mathrm{Ne}\)

Which of the following atoms is the most stable? A. nitrogen, because the elements in Group 15 can form anions B. argon, because the noble gases have full valence shells C. sodium, because alkali metals can form cations D. magnesium, because alkaline earth metals have a high melting point
See all solutions

Recommended explanations on Physics Textbooks

Electric Charge Field and Potential

Read Explanation

Turning Points in Physics

Read Explanation

Energy Physics

Read Explanation

Wave Optics

Read Explanation

Thermodynamics

Read Explanation

Famous Physicists

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.

Sign-up for free