/*! 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} Q16 P One mole of helium atoms has a m... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

One mole of helium atoms has a mass of 4grams. If a helium atom in a balloon has a kinetic energy of1.437×10-21J, what is the speed of the helium atom? (The speed is much lower than the speed of light.)?

Short Answer

Expert verified

The speed of helium atom is,657.9m/s.

Step by step solution

01

Identification of the given data

The given data can be listed below as,

- The mass of one mole of helium is, mm=4g=4×103kg

- The kinetic energy of helium atom is, K=1.437×1021J

02

Significance of kinetic energy

Kinetic energy is the energy the body retains due to motion. Every moving object has kinetic energy.

03

Determination of the kinetic energy in +x direction

The mass of one mole of helium atom is given, mm=4g=4×103kg. The 1mole has 6.022×1023atom. Then,

The mass of 1atom is expressed as

=4×10-36.022×1023kg

=6.64×10-27kg

The relation of kinetic energy is expressed as,

K-12mv2

Here Kis the kinetic energy, mis the mass of the helium atom and Vis the speed of the helium atom.

Substitute 6.64×10-27kgfor mand 1.437×10-21Jfor Kin the above equation.

1.437×10-21J=12×6.64×10-27kg×v2

v=657.9m/s

Hence the speed of helium atom is, 657.9m/s

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 91Ó°ÊÓ!

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 comet is in elliptical orbit around the Sun. Its closest approach to the Sun is a distance of 4×1010m (inside the orbit of Mercury), at which point its speed is 8.17×104m/s. Its farthest distance from the Sun is far beyond the orbit of Pluto. What is its speed when it is 6×1012m from the Sun? (This is the approximate distance of Pluto from the Sun.)

Figure 6.76 shows the path of a comet orbiting a star.

(a) Rank-order the locations on the path in terms of the magnitude of the comet’s momentum at each location, starting with the location at which the magnitude of the momentum is the largest. (b) Rank-order the locations on the path in terms of the comet’s kinetic energy at each location, starting with the location at which the kinetic energy is the largest. (c) Rank-order the locations on the path in terms of the potential energy of the system at each location, largest first. (d) Rank-order the locations on the path in terms of the sum of the kinetic energy and the potential energy of the system at each location, largest first

A nucleus whose mass is 3.917268×10−25kg undergoes spontaneous alpha decay. The original nucleus disappears and there appear two new particles: a He-4 nucleus of mass6.640678×10−27kg (an alpha particle consisting of two protons and two neutrons) and a new nucleus of mass3.850768×10−25kg . (Note that the new nucleus has less mass than the original nucleus, and it has two fewer protons and two fewer neutrons.)

(a) What is the total kinetic energy of the alpha particle and the new nucleus?

(b) Use the conservation of momentum in order to determine the kinetic energy of the alpha particle and kinetic energy of the new nucleus.

Use energy conservation to find the approximate final speed of a basketball dropped from a height of 2m (roughly the height of a professional basketball player). Why don't you need to know the mass of the basketball?

An object with mass 7 kgmoves from a location <22,43,-41> near the Earth's surface to location<-27,11,46>m. What is the change in the potential energy of the system consisting of the object plus the Earth?

See all solutions

Recommended explanations on Physics Textbooks

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.