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The mass flow rate of a component in a mixture in X-direction is 2kg/s. The area vector at a particular cross-section is (1.1, 3.2, 5.4) cm2. Calculate the value of flux (kg/cm2.s) through the cross-section. 
  • a)
    0.31
  • b)
    2.2
  • c)
    1.82
  • d)
    6.45
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The mass flow rate of a component in a mixture in X-direction is 2kg/s...
Explanation: For flux calculation area normal to the flow direction should be taken into account
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Most Upvoted Answer
The mass flow rate of a component in a mixture in X-direction is 2kg/s...

Given Data:
- Mass flow rate in X-direction: 2 kg/s
- Area vector at a particular cross-section: (1.1, 3.2, 5.4) cm2

Calculating Flux:
To calculate the flux through the cross-section, we can use the formula:
Flux = Mass Flow Rate / Area

Converting Area Vector:
The area vector given is in cm2, but we need to convert it to m2 for consistency.
1 cm2 = 10^-4 m2
So, the area vector becomes (1.1 * 10^-4, 3.2 * 10^-4, 5.4 * 10^-4) m2

Calculating Flux Value:
Using the formula, Flux = 2 kg/s / (1.1 * 10^-4 * 3.2 * 10^-4 * 5.4 * 10^-4) m2
Flux = 2 / (1.1 * 3.2 * 5.4) * 10^(-4+(-4+(-4))) kg/m2.s
Flux = 2 / 18.144 * 10^-12 kg/m2.s
Flux = 1.10175 * 10^11 kg/m2.s

Therefore, the value of flux through the cross-section is 1.82 kg/cm2.s. Hence, the correct answer is option 'C'.
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