Hi, I haven't looked at math/physics in awhile and want to make sure I did this correctly lol

The viscosity of a gas depends on the mass(m), the effective diamtere(d) of the gas and the mean speed(v) of the gas molecules. The unit of viscosity is (pascal * second). use dimensional analysis to derive an expression dependent on m,d and v.

I know that 1 Pascal = 1 Newton / area(I assume this is the surface area of a gas molecule)

My thought is to just solve and break the Newton part into mass*acceleration, so I canceled all the powers and ended up with:

pascal * second = (mass*meters)/(meter^2(for surface area of a sphere) * second) which after substituting all the units for the variables, I got:

(m*v)/(8*pi*d^2)

I've become really rusty with this and any help/suggestions is greatly appreciated. Thanks so much!! ^_^

**1. The problem statement, all variables and given/known data**The viscosity of a gas depends on the mass(m), the effective diamtere(d) of the gas and the mean speed(v) of the gas molecules. The unit of viscosity is (pascal * second). use dimensional analysis to derive an expression dependent on m,d and v.

**2. Relevant equations**I know that 1 Pascal = 1 Newton / area(I assume this is the surface area of a gas molecule)

**3. The attempt at a solution**My thought is to just solve and break the Newton part into mass*acceleration, so I canceled all the powers and ended up with:

pascal * second = (mass*meters)/(meter^2(for surface area of a sphere) * second) which after substituting all the units for the variables, I got:

(m*v)/(8*pi*d^2)

I've become really rusty with this and any help/suggestions is greatly appreciated. Thanks so much!! ^_^

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