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Chapter 19: Q20P (page 578)

Question: Calculate the RMS speed of helium atoms at 1000k. Molar mass of helium atoms is4.0026gmol.

Short Answer

Expert verified

Answer

The RMS speed of helium atoms at 1000 k is2.50脳103ms.

Step by step solution

01

Given

The temperature is T = 1000 k

02

Determining the concept

Find the RMS speed from its formula in terms of R, temperature, and molar mass.

Formula is as follow:

v=3RTM

Here, M is mass, Tis temperature, v is velocity and R is universal gas constant.

03

Determining the RMS speed of helium atoms at 1000 K

The RMS speed of helium atoms is,

v=3RTM

Molar mass of helium is,

M=4脳10-3kgmol

Substitute the values in the equation for velocity and solve as:

v=38.31410004脳10-3v=2497鈮�2.50脳103ms

Hence, the RMS speed of helium atoms at 1000 K is 2.50脳103ms.

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