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The speeds of 5 molecules of a gas (in arbitrary units) are as follows : 2, 3, 4, 5, 6. The root mean square speed for these molecules is.
Correct answer is '4.24'. Can you explain this answer?
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The speeds of 5 molecules of a gas (in arbitrary units) are as follows...
The correct answer is: 4.24
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The speeds of 5 molecules of a gas (in arbitrary units) are as follows...
Given information:
The speeds of 5 molecules of a gas (in arbitrary units) are as follows: 2, 3, 4, 5, 6.
Root Mean Square Speed:
The root mean square (RMS) speed is a measure of the average speed of particles in a gas. It is calculated by taking the square root of the mean of the squares of the individual velocities.
Calculating the RMS speed:
To calculate the RMS speed, we need to follow these steps:
1. Find the square of each speed:
- Speed 1: 2^2 = 4
- Speed 2: 3^2 = 9
- Speed 3: 4^2 = 16
- Speed 4: 5^2 = 25
- Speed 5: 6^2 = 36
2. Find the mean of the squares:
- (4 + 9 + 16 + 25 + 36) / 5 = 90 / 5 = 18
3. Take the square root of the mean:
- √18 = 4.242
Answer:
Therefore, the root mean square speed for the given molecules is approximately 4.24 (rounded to two decimal places).
The speeds of 5 molecules of a gas (in arbitrary units) are as follows: 2, 3, 4, 5, 6.
Root Mean Square Speed:
The root mean square (RMS) speed is a measure of the average speed of particles in a gas. It is calculated by taking the square root of the mean of the squares of the individual velocities.
Calculating the RMS speed:
To calculate the RMS speed, we need to follow these steps:
1. Find the square of each speed:
- Speed 1: 2^2 = 4
- Speed 2: 3^2 = 9
- Speed 3: 4^2 = 16
- Speed 4: 5^2 = 25
- Speed 5: 6^2 = 36
2. Find the mean of the squares:
- (4 + 9 + 16 + 25 + 36) / 5 = 90 / 5 = 18
3. Take the square root of the mean:
- √18 = 4.242
Answer:
Therefore, the root mean square speed for the given molecules is approximately 4.24 (rounded to two decimal places).
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The speeds of 5 molecules of a gas (in arbitrary units) are as follows : 2, 3, 4, 5, 6. The root mean square speed for these molecules is.Correct answer is '4.24'. Can you explain this answer?
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