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Q44

REVIEWMCQpage 21holdmath reviewREVIEW_MATH_COMPLEXP2UNREVIEWED

type=MCQ · page=21–22 · marks=2 · content_conf=0.7999999999999999 · math_conf=0.792

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Source / evidence

file: GATE CH 2020 (with Solutions).pdf

pages: 21–22

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A /text{tank} /text{initially} /text{contains} a gas /text{mixture} /text{with} 21 mol /\% /text{oxygen} /text{and} 79 mol /\% /text{nitrogen} . /text{Pure} /text{nitrogen} /text{enters} /text{the} /text{tank} , and a gas mixture of nitrogen and oxygen exits the tank. The molar flow rate of both the inlet and exit streams is 8 mol s⁻¹.

In addition, use the following data and assumptions • Assume the tank contents to be well mixed • Assume ideal gas behavior • The temperature and pressure inside the tank are held constant

• Molar density of the gas mixture in the tank is constant at 40 mol m^{ - 3}

If the volume of the tank is 20 m³, then the time (in seconds) required for oxygen content in the tank to decrease to 1 mol % is

Options

A.
100.45
B.
30.45
C.
3.445
D.
10

Answer

Solution

O_2 /rightarrow /text{from} /text{general} /text{mole} /text{balance} /text{equation}

.

.

ρ = /frac{40mol}{m^3},V=20 m³

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[VISUAL / REVIEW — NO INVENTED LATEX] Source math clip

⇒ t =30.45 sec Hence, the correct option is (B).

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page=21 bbox=[36,177.02,264.79,190.37]

asset=assets/solutions/Q044/residual_73966f2c531b.png

Raw text

⇒ llnn (0.01/0.21x/x₀)=)(−t)/100=(−t)/100

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Source PDF: GATE CH 2020 (with Solutions).pdf

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