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A tiny particle of mass 1.38 x 10-11 kg is floating in air at 3000C. Ignoring gravity, its rms speed (in μm/sec) due to random collisions with air molecules will be closest to ______.
Correct answer is '41.46'. Can you explain this answer?
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A tiny particle of mass 1.38 x 10-11 kg is floating in air at 3000C. I...
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A tiny particle of mass 1.38 x 10-11 kg is floating in air at 3000C. I...
Order to find the root mean square (rms) speed of the particle, we can use the equation:
v = sqrt((3 * k * T) / m)
where:
v = rms speed
k = Boltzmann constant (1.38 x 10^-23 J/K)
T = temperature in kelvin (K)
m = mass of the particle
First, let's convert the temperature from Celsius to Kelvin:
T = 3000C + 273.15 = 3273.15 K
Now we can plug in the values into the equation:
v = sqrt((3 * (1.38 x 10^-23 J/K) * (3273.15 K)) / (1.38 x 10^-11 kg))
Calculating this expression gives us:
v ≈ 1457.91 m/s
Therefore, the rms speed of the particle is approximately 1457.91 m/s.
v = sqrt((3 * k * T) / m)
where:
v = rms speed
k = Boltzmann constant (1.38 x 10^-23 J/K)
T = temperature in kelvin (K)
m = mass of the particle
First, let's convert the temperature from Celsius to Kelvin:
T = 3000C + 273.15 = 3273.15 K
Now we can plug in the values into the equation:
v = sqrt((3 * (1.38 x 10^-23 J/K) * (3273.15 K)) / (1.38 x 10^-11 kg))
Calculating this expression gives us:
v ≈ 1457.91 m/s
Therefore, the rms speed of the particle is approximately 1457.91 m/s.
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A tiny particle of mass 1.38 x 10-11 kg is floating in air at 3000C. Ignoring gravity, its rms speed (inμm/sec) due to random collisions with air molecules will be closest to ______.Correct answer is '41.46'. Can you explain this answer?
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A tiny particle of mass 1.38 x 10-11 kg is floating in air at 3000C. Ignoring gravity, its rms speed (inμm/sec) due to random collisions with air molecules will be closest to ______.Correct answer is '41.46'. Can you explain this answer? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about A tiny particle of mass 1.38 x 10-11 kg is floating in air at 3000C. Ignoring gravity, its rms speed (inμm/sec) due to random collisions with air molecules will be closest to ______.Correct answer is '41.46'. Can you explain this answer? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A tiny particle of mass 1.38 x 10-11 kg is floating in air at 3000C. Ignoring gravity, its rms speed (inμm/sec) due to random collisions with air molecules will be closest to ______.Correct answer is '41.46'. Can you explain this answer?.
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