Chapter 6: Q16 P (page 276)

One mole of helium atoms has a mass of $4$ grams. If a helium atom in a balloon has a kinetic energy of $1.437 \times 10^{- 21} J$ , 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, $657.9 m / s$ .

Step by step solution

Identification of the given data

The given data can be listed below as,

- The mass of one mole of helium is, $m_{m} = 4 g = 4 \times 10^{3} kg$

- The kinetic energy of helium atom is, $K = 1.437 \times 10^{21} J$

Significance of kinetic energy

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

Determination of the kinetic energy in +x direction

The mass of one mole of helium atom is given, $m_{m} = 4 g = 4 \times 10^{3} kg$ . The $1$ mole has $6.022 \times 10^{23}$ atom. Then,

The mass of $1$ atom is expressed as

$= \frac{4 \times 10^{- 3}}{6.022 \times 10^{23}} kg$

$= 6.64 \times 10^{- 27} kg$

The relation of kinetic energy is expressed as,

$K - \frac{1}{2} m v^{2}$

Here $K$ is the kinetic energy, $m$ is the mass of the helium atom and $V$ is the speed of the helium atom.

Substitute $6.64 \times 10^{- 27} kg$ for $m$ and $1.437 \times 10^{- 21} J$ for $K$ in the above equation.

$1.437 \times 10^{- 21} J = \frac{1}{2} \times 6.64 \times 10^{- 27} kg \times v^{2}$

v = 657.9 m / s

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

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One mole of helium atoms has a mass of $4$ grams. If a helium atom in a balloon has a kinetic energy of $1.437 \times 10^{- 21} J$ , what is the speed of the helium atom? (The speed is much lower than the speed of light.)?

Short Answer

Step by step solution

Identification of the given data

Significance of kinetic energy

Determination of the kinetic energy in +x direction

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Most popular questions from this chapter

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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

Step by step solution

Identification of the given data

Significance of kinetic energy

Determination of the kinetic energy in +x direction

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Famous Physicists

Rotational Dynamics

Geometrical and Physical Optics

Kinematics Physics

Electrostatics

Electricity and Magnetism

Study anywhere. Anytime. Across all devices.

One mole of helium atoms has a mass of $4$ grams. If a helium atom in a balloon has a kinetic energy of $1.437 \times 10^{- 21} J$ , what is the speed of the helium atom? (The speed is much lower than the speed of light.)?