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It takes 26 s for 10 mL of H2 gas to effuse through a porous membrane, it takes 130 s for 10 mL of an unknown gas under identical conditions to effuse. Hence, molar mass of the unknown gas (in g mol-1) is
  • a)
    40
  • b)
    50
  • c)
    80
  • d)
    100
Correct answer is option 'B'. Can you explain this answer?
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It takes 26 s for 10 mL of H2 gas to effuse through a porous membrane,...
**Explanation:**

To solve this problem, we can use Graham's law of effusion, which states that the rate of effusion of a gas is inversely proportional to the square root of its molar mass. Mathematically, the equation can be written as:

Rate1/Rate2 = sqrt(Molar Mass2/Molar Mass1)

Given:
Rate1 = 10 mL / 26 s
Rate2 = 10 mL / 130 s

Let's calculate the molar mass of the unknown gas using Graham's law of effusion:

Rate1/Rate2 = sqrt(Molar Mass2/Molar Mass1)

(10 mL / 26 s) / (10 mL / 130 s) = sqrt(Molar Mass2/Molar Mass1)

Simplifying the equation:

(130 s / 26 s) = sqrt(Molar Mass2/Molar Mass1)

5 = sqrt(Molar Mass2/Molar Mass1)

Squaring both sides of the equation:

25 = Molar Mass2/Molar Mass1

Since we know that the molar mass of hydrogen gas (H2) is 2 g/mol, we can substitute the values into the equation:

25 = Molar Mass2/2

Molar Mass2 = 2 * 25

Molar Mass2 = 50 g/mol

Therefore, the molar mass of the unknown gas is 50 g/mol, which corresponds to option B.
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Attempt All sub parts from each question.Longitudinal and transverse wave: Longitudinal Waves are defined as waves those are capable of displacing the medium in a direction either in the direction of the waves or opposite. Longitudinal mechanical waves are known as compressional waves. This is because these mechanical waves produce a lot of compression and rarefaction while travelling through medium. These waves are also called as pressure waves as there is an increase and decrease in pressure while travelling. Sound Waves like vibrations, P-Waves created through earthquakes, etc., are some kinds of longitudinal waves. A transverse wave is defined as the wave that moves in the perpendicular direction of the vibration. One of the most important examples of transverse waves includes the waves created by the drum's beating. The membrane of the drum moves perpendicular to the surface. Another example of a transverse wave is light. Transverse waves travels through crests and troughs. Transverse waves are mostly present in solids those have profound elasticity. In some cases, when there is a deformation in the material, the wave is called a shear wave.Q. Which wave is also known as shear wave?

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It takes 26 s for 10 mL of H2 gas to effuse through a porous membrane, it takes 130 s for 10 mL of an unknown gas under identical conditions to effuse. Hence, molar mass of the unknown gas (in g mol-1) isa)40b)50c)80d)100Correct answer is option 'B'. Can you explain this answer?
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