______ states that the rates of diffusion of gases are inversely proportional to the square roots of their densities under similar conditions of temperature and pressure.

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SSC CHSL Tier-I Exam 2022 Official Paper (Held On: 15 March, 2023 Shift 1)
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  1. Tyndall's Law 
  2. Pascal's Law 
  3. Graham's Law 
  4. Kepler's Law

Answer (Detailed Solution Below)

Option 3 : Graham's Law 
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SSC CHSL Exam 2023 Tier-I Official Paper (Held On: 02 Aug 2023 Shift 1)
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The correct answer is Graham's Law.

Key Points

  • Graham's law states that the rates of diffusion of gases are inversely proportional to the square roots of their molar masses under similar conditions of temperature and pressure.
  • This means that a gas with a lower molar mass will diffuse more quickly than a gas with a higher molar mass.
  • For example, hydrogen (H2) has a molar mass of 2.016 g/mol, while oxygen (O2) has a molar mass of 32.000 g/mol.
  • This means that hydrogen will diffuse 4.5 times faster than oxygen at the same temperature and pressure.
  • Graham's law can be used to calculate the rate of diffusion of a gas.
  • The formula for Graham's law is: r = k * √(M)
  • Where:
    • r is the rate of diffusion
    • k is a constant
    • M is the molar mass of the gas
  • The value of k can be determined experimentally.
  • Graham's law is a useful tool for understanding the behaviour of gases.
  • It can be used to predict how gases will diffuse, and it can be used to calculate the rate of diffusion of a gas.

Additional Information

  • Tyndall's Law states that the scattering of a beam of light by particles in a medium is inversely proportional to the fourth power of the wavelength of light.
    • This means that shorter wavelengths of light are scattered more easily than longer wavelengths.
  • Pascal's Law states that pressure exerted anywhere in an enclosed fluid is transmitted equally in all directions throughout the fluid.
    • This means that if you increase the pressure at one point in a fluid, the pressure will increase at all points in the fluid.
  • Kepler's Laws are three laws that describe the motion of planets around the sun.
    • The first law states that planets orbit the sun in elliptical orbits.
    • The second law states that the speed of a planet is greatest when it is closest to the sun and least when it is farthest from the sun.
    • The third law states that the square of the period of a planet's orbit is proportional to the cube of the semi-major axis of its orbit.
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