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A gas mixture containing 21% O2 and 79% N2 flows through a pipe of circular cross-section of diameter 2cm at atmospheric pressure. The velocity of O2 is 0.04m/s and N2 is 0.035m/s.
Q. What is the value of Volume average velocity?
  • a)
    0.036
  • b)
    0.035
  • c)
    0.034
  • d)
    0.033
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A gas mixture containing 21% O2and 79% N2flows through a pipe of circu...
Explanation: Volume average velocity= Molar average velocity.
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A gas mixture containing 21% O2and 79% N2flows through a pipe of circu...
Given:
- Gas mixture containing 21% O2 and 79% N2
- Pipe of circular cross-section with diameter 2cm
- Atmospheric pressure
- Velocity of O2 is 0.04m/s
- Velocity of N2 is 0.035m/s

To find:
- Volume average velocity

Formula:
Volume average velocity (Vavg) = (V1 + V2) / 2

where V1 and V2 are the velocities of two gases.

Calculation:
1. Calculate the volume flow rate of each gas:
- Volume flow rate (Q) = Area * Velocity

For O2:
Area = π * (diameter/2)^2 = π * (2cm/2)^2 = 3.14 * 1cm^2 = 3.14 cm^2 = 0.0314 m^2

Q1 = 0.0314 m^2 * 0.04 m/s = 0.001256 m^3/s

For N2:
Q2 = 0.0314 m^2 * 0.035 m/s = 0.001099 m^3/s

2. Calculate the volume average velocity:
Vavg = (V1 + V2) / 2

Vavg = (Q1 + Q2) / (0.0314 m^2)

Vavg = (0.001256 m^3/s + 0.001099 m^3/s) / (0.0314 m^2)

Vavg = 0.002355 m^3/s / 0.0314 m^2

Vavg = 0.0749 m/s

Therefore, the value of the volume average velocity is 0.0749 m/s.

However, none of the given options match the calculated value. Please recheck the options or provide the correct options.
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A gas mixture containing 21% O2and 79% N2flows through a pipe of circular cross-section of diameter 2cm at atmospheric pressure. The velocity of O2is 0.04m/s and N2is 0.035m/s.Q. What is the value of Volume average velocity?a)0.036b)0.035c)0.034d)0.033Correct answer is option 'A'. Can you explain this answer?
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