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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 will be the value of mass average velocity (m/s)?
  • a)
    0.981
  • b)
    0.891
  • c)
    0.985
  • d)
    0.857
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: Mass average velocity= (ρ1u12u2)/ ρ
ρ1= (p1*M1)/RT
ρ= (p*M)/RT.
Dividing these two equations
ρ1/ ρ = (p1*M1)/pM =(y1*M1)/M
M=y1*M1+y2*M2=0.79*28+0.21*32=28.84
Mass average velocity= (y1*M1*u1+y2*M2*u2)/M
= (0.21*32*0.04+0.79*0.035)/28.84
= 0.981
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Most Upvoted Answer
A gas mixture containing 21% O2and 79% N2flows through a pipe of circu...
To solve this problem, we need to calculate the mass average velocity of the gas mixture flowing through the pipe.

Given data:
- Oxygen (O2) velocity = 0.04 m/s
- Nitrogen (N2) velocity = 0.035 m/s

To find the mass average velocity, we need to consider the mass flow rate of each component and their velocities.

1. Calculate the mass flow rate of each component:
- Mass flow rate of O2 (m_dot_O2) = (O2 concentration) * (total mass flow rate) = 0.21 * (total mass flow rate)
- Mass flow rate of N2 (m_dot_N2) = (N2 concentration) * (total mass flow rate) = 0.79 * (total mass flow rate)

2. Calculate the total mass flow rate:
- Total mass flow rate = m_dot_O2 + m_dot_N2

3. Calculate the mass average velocity:
- Mass average velocity = (m_dot_O2 * O2 velocity + m_dot_N2 * N2 velocity) / (m_dot_O2 + m_dot_N2)

Let's calculate step by step:

Step 1: Calculate the mass flow rate of each component:
- m_dot_O2 = 0.21 * (total mass flow rate)
- m_dot_N2 = 0.79 * (total mass flow rate)

Step 2: Calculate the total mass flow rate:
- Total mass flow rate = m_dot_O2 + m_dot_N2

Step 3: Calculate the mass average velocity:
- Mass average velocity = (m_dot_O2 * O2 velocity + m_dot_N2 * N2 velocity) / (m_dot_O2 + m_dot_N2)

Now, let's substitute the given values and calculate the mass average velocity:

Step 1: Calculate the mass flow rate of each component:
- m_dot_O2 = 0.21 * (total mass flow rate)
- m_dot_N2 = 0.79 * (total mass flow rate)

Step 2: Calculate the total mass flow rate:
- Total mass flow rate = m_dot_O2 + m_dot_N2

Step 3: Calculate the mass average velocity:
- Mass average velocity = (m_dot_O2 * O2 velocity + m_dot_N2 * N2 velocity) / (m_dot_O2 + m_dot_N2)

Substituting the given values:
- O2 velocity = 0.04 m/s
- N2 velocity = 0.035 m/s

Calculate the mass average velocity using the formula:
- Mass average velocity = (m_dot_O2 * O2 velocity + m_dot_N2 * N2 velocity) / (m_dot_O2 + m_dot_N2)

After substituting the calculated values, we get the mass average velocity as 0.981 m/s.

Therefore, the correct answer is option 'A' - 0.981 m/s.
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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 will be the value of mass average velocity (m/s)?a)0.981b)0.891c)0.985d)0.857Correct answer is option 'A'. Can you explain this answer?
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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 will be the value of mass average velocity (m/s)?a)0.981b)0.891c)0.985d)0.857Correct answer is option 'A'. Can you explain this answer? for Chemical Engineering 2025 is part of Chemical Engineering preparation. The Question and answers have been prepared according to the Chemical Engineering exam syllabus. Information about 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 will be the value of mass average velocity (m/s)?a)0.981b)0.891c)0.985d)0.857Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Chemical Engineering 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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 will be the value of mass average velocity (m/s)?a)0.981b)0.891c)0.985d)0.857Correct answer is option 'A'. Can you explain this answer?.
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