Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 5: Problem 35

If we have \(6 \times 10^{23}\) molecules, \(^{53}\) and each molecule releases \(1 \mathrm{eV}\) in a chemical reaction, how many kJ (per mole, as it turns out) is this reaction?

Short Answer

Expert verified
Question: Calculate the energy per mole in kJ for a chemical reaction if 1 eV of energy is released per molecule and there are \(6 \times 10^{23}\) molecules. Answer: To calculate the energy per mole in kJ, follow these steps: 1. Convert eV to Joules: 1 eV x 1.602 x 10^{-19} J/eV = 1.602 x 10^{-19} J 2. Calculate total energy released: 1.602 x 10^{-19} J x \(6 \times 10^{23}\) molecules = 96.12 J 3. Determine energy per mole: The total energy released (96.12 J) is equal to the energy per mole 4. Convert Joules to kJ: 96.12 J / 1000 = 0.09612 kJ Thus, the energy per mole in kJ for this reaction is 0.09612 kJ.

Step by step solution

01

Convert eV to Joules

To convert the energy from eV to Joules, we need to use the conversion factor: 1 eV = 1.602 x 10^{-19} Joules. Multiply the given energy (1 eV) per molecule by this conversion factor: Energy per molecule (in Joules) = 1 eV x 1.602 x 10^{-19} J/eV
02

Calculate total energy released

Next, we'll multiply the energy per molecule (in Joules) by the given number of molecules, \(6 \times 10^{23}\): Total energy released = Energy per molecule (in Joules) x \(6 \times 10^{23}\) molecules
03

Determine energy per mole

Since there are \(6 \times 10^{23}\) molecules in a mole (Avogadro's Number), the total energy released is actually the energy per mole.
04

Convert Joules to kJ

To convert the energy per mole from Joules to kJ, divide by 1000: Energy per mole (in kJ) = Total energy released (in Joules) / 1000 Using the calculations in Steps 1-4, you can now substitute the values to find the energy per mole in kJ for this reaction.

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!

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 generic \(\$ 10\) pizza might contain about \(2,500 \mathrm{kcal}\). What is this in \(\mathrm{kWh}\) ? Electricity typically costs \(\$ 0.15\) per \(\mathrm{kWh},{ }^{44}\) so how much would a pizza's amount of energy cost in electrical terms? Which of the two is a cheaper form of energy?

A \(50 \mathrm{~kg}\) crate might require \(200 \mathrm{~N}\) to slide across a concrete floor. If we must slide it \(10 \mathrm{~m}\) along the floor and then lift it \(2 \mathrm{~m}\) into a truck, how much energy goes into each action, and what fraction of the total energy expenditure is each?

Houses in the U.S. are equipped with circuit protection rated to 100 or 200 Amps, typically. If a 100 A house is operating at \(80 \%\) of its rated capacity, \(^{52}\) how much power is it consuming (at \(120 \mathrm{~V}\) )? If sustained for a month, how many kWh will show up on the bill? At \(\$ 0.15 / \mathrm{kWh}\), what is the cost?

Gather up or compute conversion factors from the chapter to start your own conversion table (empty version below). Express kWh, cal, kcal, Btu, and Therms in terms of Joules.

If Problem 21 had resulted in \(5,000 \mathrm{~W},{ }^{46}\) how many kilowatt- hours (kWh) are expended in a 24 -hour period? At an electricity cost of around \(\$ 0.15\) per \(\mathrm{kWh},{ }^{47}\) about how much will it cost, per day, to maintain heat?
See all solutions

Recommended explanations on Environmental Science Textbooks

Physical Environment

Read Explanation

Energy Resources

Read Explanation

Biological Resources

Read Explanation

Pollution

Read Explanation

Ecological Conservation

Read Explanation

Living Environment

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