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Chapter 19: Q21P (page 578)

Question: The lowest possible temperature in outer space is 2.7 K. What is the rms speed of hydrogen molecules at this temperature? (The molar mass is2.02×10-3kg/mol).

Short Answer

Expert verified

Answer:

The RMS speed of the hydrogen molecules is 1.8×102m/s.

Step by step solution

01

Given data

The temperature is T = 2.7 K

The molar mass of hydrogen molecules is,M=2.02×10-3kg/mol

02

Concept introduction

We can find the rms speed using its formula in terms of R, temperature, and molar mass.

The expression for the RMS speed is given by,

v=3RTM

03

Calculate the rms speed of hydrogen molecules at the given temperature 

The RMS speed of hydrogen molecules is

v=3RTM

Molar mass of hydrogen isM=2.02×10-3kg/mol

v=38.3142.72.02×10-3v=182.58≈1.8×102m/s

Therefore the RMS speed of the hydrogen molecules is1.8×102m/s .

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