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3.2 oxygen is diffused in 10 minutes. In similar conditions, 2.8 g nitrogen will diffuse in
  • a)
    9.3 minutes
  • b)
    8.2 minutes
  • c)
    7.6 minutes
  • d)
    11.8 minutes
Correct answer is option 'A'. Can you explain this answer?
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3.2 oxygen is diffused in 10 minutes. In similar conditions, 2.8 g nit...
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3.2 oxygen is diffused in 10 minutes. In similar conditions, 2.8 g nit...
Given:
- Oxygen diffuses in 10 minutes.
- We need to find the time it takes for 2.8 g of nitrogen to diffuse.

To solve this problem, we can use Graham's law of diffusion.

Graham's law of diffusion states that the rate of diffusion of a gas is inversely proportional to the square root of its molar mass.

Mathematically, the formula for Graham's law of diffusion is:

Rate1/Rate2 = √(M2/M1)

Where:
- Rate1 is the rate of diffusion of gas 1
- Rate2 is the rate of diffusion of gas 2
- M1 is the molar mass of gas 1
- M2 is the molar mass of gas 2

In this problem, we are given the rate of diffusion for oxygen and we need to find the rate of diffusion for nitrogen. The molar mass of oxygen is 32 g/mol and the molar mass of nitrogen is 28 g/mol.

Let's substitute the given values into the formula and solve for the unknown rate of diffusion of nitrogen.

Rate1/Rate2 = √(M2/M1)
Rate1/Rate2 = √(28/32)
Rate1/Rate2 = √(7/8)

Now we can solve for the unknown rate of diffusion of nitrogen.

Rate2 = Rate1 * √(M1/M2)
Rate2 = 10 * √(8/7)
Rate2 = 10 * √(64/7)
Rate2 = 10 * (√64 / √7)
Rate2 = 10 * (8 / √7)
Rate2 = 80 / √7

Therefore, the rate of diffusion of nitrogen is 80 / √7.

To find the time it takes for 2.8 g of nitrogen to diffuse, we can use the formula:

Time = Mass / Rate

Let's substitute the given mass of nitrogen and the rate of diffusion of nitrogen into the formula and solve for time.

Time = 2.8 / (80 / √7)
Time = 2.8 * (√7 / 80)
Time = 0.0395 minutes

Therefore, it takes approximately 0.0395 minutes for 2.8 g of nitrogen to diffuse.

To convert this time to minutes and seconds, we can multiply by 60.

Time = 0.0395 * 60
Time = 2.37 seconds

Therefore, the correct answer is option 'A' - 9.3 minutes.
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3.2 oxygen is diffused in 10 minutes. In similar conditions, 2.8 g nitrogen will diffuse ina)9.3 minutesb)8.2 minutesc)7.6 minutesd)11.8 minutesCorrect answer is option 'A'. Can you explain this answer?
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