Chapter 9: Q. 31 (page 228)

One mole ( $6.02 \times 10^{23}$ atoms) of helium atoms in the gas phase has $3700$ J of microscopic kinetic energy at room temperature. If we assume that all atoms move with the same speed, what is that speed? The mass of a helium atom is $6.68 \times 10^{- 27}$ kg.

Short Answer

Expert verified

The speed is $1360$ m/s

Step by step solution

Step 1. Given Information

One mole of helium $6.022 \times 10^{23}$

Mass of helium role="math" localid="1647905537418" $6.68 \times 10^{- 27}$

Kinetic Energy $3700$ J

Step 2. One mole of helium atom have mass

$m_{o n e m o l e o f h e l i u m} = N m_{o n e a t o m o f h e l i u m} = 6.022 \cdot 10^{23} \cdot 6.68 \cdot 10^{27} k g = 4 \cdot 10^{- 3} k g$

Step 3. Find the speed

If that mole of helium atoms have kinetic energy $3700$ J and they all move at the same speed, we can easily get their speed

$E_{k i n e t i c} = \frac{1}{2} m_{o n e m o l e o f h e l i u m} v^{2} 3700 : J = 0.5 \cdot 4 \cdot 10^{- 3} k g \cdot v^{2} v = 1360 m / s$

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One mole ( $6.02 \times 10^{23}$ atoms) of helium atoms in the gas phase has $3700$ J of microscopic kinetic energy at room temperature. If we assume that all atoms move with the same speed, what is that speed? The mass of a helium atom is $6.68 \times 10^{- 27}$ kg.

Short Answer

Step by step solution

Step 1. Given Information

Step 2. One mole of helium atom have mass

Step 3. Find the speed

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One mole (6.02×1023atoms) of helium atoms in the gas phase has 3700J of microscopic kinetic energy at room temperature. If we assume that all atoms move with the same speed, what is that speed? The mass of a helium atom is6.68×10-27 kg.

Short Answer

Step by step solution

Step 1. Given Information

Step 2. One mole of helium atom have mass

Step 3. Find the speed

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Physics of Motion

Space Physics

Electrostatics

Electromagnetism

Kinematics Physics

Fields in Physics

Study anywhere. Anytime. Across all devices.

One mole ( $6.02 \times 10^{23}$ atoms) of helium atoms in the gas phase has $3700$ J of microscopic kinetic energy at room temperature. If we assume that all atoms move with the same speed, what is that speed? The mass of a helium atom is $6.68 \times 10^{- 27}$ kg.