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The molecules in a tank of hydrogen have the same rms

Chapter 17, Problem 25P

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QUESTION:

Problem 25P

The molecules in a tank of hydrogen have the same rms speed as the molecules in a tank of oxygen. State whether each of the following statements is true, false, or unknowable with the given information: (a) the pressures are the same; (b) the hydrogen is at the higher temperature; (c) the hydrogen has the higher pressure; (d) the temperatures are the same; (e) the oxygen is at the higher temperature.

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QUESTION:

Problem 25P

The molecules in a tank of hydrogen have the same rms speed as the molecules in a tank of oxygen. State whether each of the following statements is true, false, or unknowable with the given information: (a) the pressures are the same; (b) the hydrogen is at the higher temperature; (c) the hydrogen has the higher pressure; (d) the temperatures are the same; (e) the oxygen is at the higher temperature.

ANSWER:

Step 1 of 6

We are going to validate the statements given in this problem.

The given statement is the rms speed of the hydrogen in a tank is the same rms speed as the molecules in a tank of oxygen.

The molar mass of hydrogen M1 = 2 g/mol

The molar mass of oxygen M2 = 32 g/mol

The expression for the rms speed is given by

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