Cannot figure out how these conversion factors came about to this answer?

[j2dabizo]

Homework Statement

I have an equation with all known variables and I have the answer...I just can't figure out how they converted the variables and came about the answer.

The first equation is N/V = [2*pi*(2.315)/h^3][2*m*kT]^3/2

we have the known variables h (plank's constant)= 6.6261E-34 j*s or 4.1357E-15 ev*s
m= 6.64E-26 kg
kT= 2.5249E-2 eV

we know 1ev= 1.6022E-19 J and 1 J= kg*m^2/s^2

The answer to this equation is N/V= 2.5E28m^-3

I tried it many times and can't figure out the conversion factors to make this work!

thanks in advance

Homework Equations

The Attempt at a Solution

 

[berkeman]

Homework Statement

I have an equation with all known variables and I have the answer...I just can't figure out how they converted the variables and came about the answer.

The first equation is N/V = [2*pi*(2.315)/h^3][2*m*kT]^3/2

we have the known variables h (plank's constant)= 6.6261E-34 j*s or 4.1357E-15 ev*s
m= 6.64E-26 kg
kT= 2.5249E-2 eV

we know 1ev= 1.6022E-19 J and 1 J= kg*m^2/s^2

The answer to this equation is N/V= 2.5E28m^-3

I tried it many times and can't figure out the conversion factors to make this work!

thanks in advance

Homework Equations

The Attempt at a Solution

Could you please post your work, showing how you canceled the units and multiplied by any conversion factors? It would also help if you could use the LaTeX feature of posting. There is a LaTeX button in the Advanced Reply dialog, and a LaTeX tutorial in the Feedback forum as a stickie post.

Remember that you multiply and cancel units just like you do the variables in equations, and you can always multply by 1 = 1/1, where the 1/1 is some fraction that converts between units, like 1 = 100cm/1m.