Book edition 1st Edition

Author(s) Paul Peter Urone

Pages 1272 pages

ISBN 9781938168000

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Short Answer

Question: The temperature inside a supernova explosion is said to be 2.00×10¹³ K. (a) What would the average velocity v_rms of hydrogen atoms be? (b) What is unreasonable about this velocity? (c) Which premise or assumption is responsible?

Answer

The v_rms of hydrogen atoms are $7.08 \times 10^{8} m / s$ .
The result is unreasonable because it is a higher value than the speed of light.
This unreasonable velocity is due to the given high temperature.

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1: Concept

The average velocity of an atom is directly related to its temperature. This is expressed as,

$v_{rms} = \sqrt{\frac{3 kT}{m}}$

Here, is the average velocity, is the Boltzmann constant and its value is . is the temperature in Kelvin and its value is given as 2.00×10¹³ K. is the mass of the atom, and the mass of hydrogen is1.67×10^-27Kg.

Step 2: Solution for part

Substitute these values into the equation.

$v_{r m s} = \sqrt{\frac{3 \times (1.38 \times 10^{- 23} J / K) \times (2.00 \times 10^{13} K)}{(1.67 \times 10^{- 27} K g)}} = 7.04 \times 10^{8} m / s$

So, the average velocity of a hydrogen atom is $7.04 \times 10^{8} m / s$

Step 2: Solution for part (b)

The calculated average velocity is unreasonable because it is faster than the light. The speed of light is approximately equal to . No, objects can exceed speed. So, it is not a possible velocity.

Step 3: Solution for part (c)

The given premise leads to an unreasonable answer. Here, the given temperature is too high. Since the temperature is directly proportional to the velocity, it gives a higher value.

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College Physics (Urone)

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Short Answer

Question: The temperature inside a supernova explosion is said to be 2.00×10¹³ K. (a) What would the average velocity v_rms of hydrogen atoms be? (b) What is unreasonable about this velocity? (c) Which premise or assumption is responsible?

Step by Step Solution

Step 1: Concept

Step 2: Solution for part

Step 2: Solution for part (b)

Step 3: Solution for part (c)

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College Physics (Urone)

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Short Answer

Question: The temperature inside a supernova explosion is said to be 2.00×1013 K. (a) What would the average velocity vrms of hydrogen atoms be? (b) What is unreasonable about this velocity? (c) Which premise or assumption is responsible?

Step by Step Solution

Step 1: Concept

Step 2: Solution for part

Step 2: Solution for part (b)

Step 3: Solution for part (c)

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Question: The temperature inside a supernova explosion is said to be 2.00×10¹³ K. (a) What would the average velocity v_rms of hydrogen atoms be? (b) What is unreasonable about this velocity? (c) Which premise or assumption is responsible?