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The coefficient of permeability is 6*10-7cm/s for a soil with a certain liquid. If the viscosity is reduced to half, then the coefficient of permeability is __________
  • a)
    6*10-7cm/s
  • b)
    17*10-7cm/s
  • c)
    8*10-7cm/s
  • d)
    12*10-7cm/s
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
The coefficient of permeability is 6*10-7cm/s for a soil with a certai...
The coefficient of permeability is a measure of the ability of a soil or other porous material to allow fluids to flow through it. It is typically denoted by the symbol k and has units of velocity, such as cm/s or m/s. In this question, we are given that the coefficient of permeability is 6*10^-7 cm/s for a soil with a certain liquid.

The viscosity of a liquid is a measure of its resistance to flow. When the viscosity of a liquid is reduced, it means that the liquid becomes less resistant to flow. In this question, we are told that the viscosity is reduced to half.

When the viscosity of a liquid is reduced, it means that the liquid can flow more easily through the soil or porous material. As a result, the coefficient of permeability increases.

Let's calculate the new coefficient of permeability when the viscosity is reduced to half.

Given:
Coefficient of permeability (k) = 6*10^-7 cm/s
Viscosity is reduced to half

To find the new coefficient of permeability, we can use the following equation:

k2 = k1 * (μ2/μ1)

Where:
k2 = new coefficient of permeability
k1 = original coefficient of permeability
μ2 = new viscosity
μ1 = original viscosity

In this case, since the viscosity is reduced to half, we can substitute μ2 with 0.5μ1 in the equation:

k2 = k1 * (0.5μ1/μ1)

Simplifying the equation:

k2 = k1 * 0.5

Substituting the given value for k1:

k2 = 6*10^-7 cm/s * 0.5

k2 = 3*10^-7 cm/s

Therefore, the new coefficient of permeability when the viscosity is reduced to half is 3*10^-7 cm/s.

However, none of the provided options match this calculated value. Therefore, it seems there may be an error in the given options or the correct answer was not provided.
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Community Answer
The coefficient of permeability is 6*10-7cm/s for a soil with a certai...
Given,
k = 6*10-7cm/s
if the viscosity is reduced to half, the coefficient of permeability doubles.
∴ k = 12*10-7cm/s.
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The coefficient of permeability is 6*10-7cm/s for a soil with a certain liquid. If the viscosity is reduced to half, then the coefficient of permeability is __________a)6*10-7cm/sb)17*10-7cm/sc)8*10-7cm/sd)12*10-7cm/sCorrect answer is option 'D'. Can you explain this answer?
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