Answer: At what temperature is the root-mean-square speed

Chapter 18, Problem 39E

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QUESTION:

Problem 39E

At what temperature is the root-mean-square speed of nitrogen molecules equal to the root-mean-square speed of hydrogen molecules at 20.0o C? (Hint: Appendix D shows the molar mass (in g/mol) of each element under the chemical symbol for that element. The molar mass of H2 is twice the molar mass of hydrogen atoms, and similarly for N2.)

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QUESTION:

Problem 39E

At what temperature is the root-mean-square speed of nitrogen molecules equal to the root-mean-square speed of hydrogen molecules at 20.0o C? (Hint: Appendix D shows the molar mass (in g/mol) of each element under the chemical symbol for that element. The molar mass of H2 is twice the molar mass of hydrogen atoms, and similarly for N2.)

ANSWER:

Solution 39E

The equation for root-mean-square speed is , where R is the universal gas constant, T is temperature in absolute scale and M is the molar mass of the gas.

Let the temperature of nitrogen molecules is

Given, temperature of hydrogen molecules

Molar mass of

Molar mass of

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