My Learning Cart
?
Categories
Account

If the RMS speed of a gas is 400 m/s, what is the speed of the gas molecules in

₹0.0
Login to Download
  • 📥 Instant PDF Download
  • ♾ Lifetime Access
  • 🛡 Secure & Original Content

What’s inside this PDF?

Question: If the RMS speed of a gas is 400 m/s, what is the speed of the gas molecules in terms of average speed?

Options:

  1. 400 m/s
  2. 300 m/s
  3. 500 m/s
  4. 600 m/s

Correct Answer: 300 m/s

Solution: 

The average speed is related to RMS speed by the relation v_avg = (2/3) * v_rms. Thus, v_avg = (2/3) * 400 = 267 m/s.

If the RMS speed of a gas is 400 m/s, what is the speed of the gas molecules in

Practice Questions

Q1
If the RMS speed of a gas is 400 m/s, what is the speed of the gas molecules in terms of average speed?
  1. 400 m/s
  2. 300 m/s
  3. 500 m/s
  4. 600 m/s

Questions & Step-by-Step Solutions

If the RMS speed of a gas is 400 m/s, what is the speed of the gas molecules in terms of average speed?
  • Step 1: Understand that RMS speed (v_rms) is given as 400 m/s.
  • Step 2: Know the formula that relates average speed (v_avg) to RMS speed: v_avg = (2/3) * v_rms.
  • Step 3: Substitute the value of v_rms into the formula: v_avg = (2/3) * 400.
  • Step 4: Calculate (2/3) * 400. First, divide 400 by 3 to get approximately 133.33.
  • Step 5: Multiply 133.33 by 2 to get approximately 266.67 m/s.
  • Step 6: Round the result to the nearest whole number, which is 267 m/s.
  • RMS Speed vs Average Speed – Understanding the relationship between root mean square (RMS) speed and average speed of gas molecules.
Soulshift Feedback ×

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely
Home Practice Performance eBooks