Compute the root-mean-square speed of Ne molecules in a sample of neon gas at a temperature of 30°C. m s -1

Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
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Compute the root-mean-square speed of Ne molecules in a sample of neon gas at a temperature of 30°C.

        m s

-1

Expert Solution
Step 1: List the Given Data and Write the Formula

The temperature of neon gas is 30°C.

The formula of root-mean-square speed is:

straight mu subscript rms equals square root of fraction numerator 3 space RT over denominator straight M end fraction end root space space space space space space midline horizontal ellipsis midline horizontal ellipsis open parentheses 1 close parentheses

Where,

straight mu subscript rms is the root mean square speed.

R is the gas constant that is 8.3145 space fraction numerator kg times straight m squared over denominator straight s squared times straight K times mol end fraction.

T is the temperature in kelvin.

M is the molar mass.

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