# units of mole formula [closed]

I am a high school student.I am currently studying "moles" chapter in my textbook.I think my book is misleading me in regards with units of a formula. The formula is,

NO.of moles= (Given mass of an element)/(Molar mass of element).

so,the units used here are,(Given mass of an element)=gram,g AND (Molar mass of element)=g/mol

I think that the denominator of the formula is incorrect.The therm "Molar mass of element" should be replaced with "Gram Atomic Mass of the element". The thing which forces me to think so is the "Derivation of this formula". The formula is derived in this way- The mass of an atom of carbon 12, call it mC12, so,mC12=12 amu/atom

mC12=12 g/mol

thus, => 12 amu/atom = 12 g/mol

=> 1 amu/atom= 1 g/mol

=> (1 amu /atom) * 1 mol = 1 g

let,1 mol = k (constant)

thus, 1 amu is directly proportional to 1 g

now let an element has atomic mass "x" amu.

thus, an element of mass "x" amu must have its gram atomic mass as x g (keeping k= 1 mol constant).

now, (x amu/atom) * 1 mol = x g

now, keeping q= x amu/atom constant,

we have,

1 mol is directly proportional to x g.

so,x g is directly proportional to 1 mol.

Now,by using the unitary method we have, 1 g = 1mol/x now,let the given mass of an element is y g.

thus, y* 1 g= y * 1mol / x

y g= y/x mol

here, x= gram atomic mass of the given element. y=given mass of the element.

thus,the formula is.

No. of moles= (Given mass of the element)*1 mol/(gram atomic mass) the units here are, (Given mass of the element)= gram

(gram atomic mass)= gram

So,i arrived at a result in which the denominator is "gram atomic mass"(g) not "molar mass"(g/mol).

Do you think my book is wrong?

## closed as unclear what you're asking by jerepierre, hBy2Py, airhuff, M.A.R. ಠ_ಠ, Jon CusterMar 7 '17 at 20:20

Please clarify your specific problem or add additional details to highlight exactly what you need. As it's currently written, it’s hard to tell exactly what you're asking. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.

• You're vastly trying to overthink this. Because of changing definition a number of different terms have been used for the molar mass of an element. The book is simply try to save that if you weight out 3 grams of carbon then you have (3g)/(12 g per mole) = 0.25 moles of carbon. – MaxW Mar 7 '17 at 16:28

Gram atomic mass is the molar mass multiplied by one mole. All you've done is replace $$\frac{\ce{g}}{\ce{mol}}$$ in the formula by $$\ce{mol}\cdot\frac{\ce{g}}{\ce{mol}}\cdot\frac{1}{\ce{mol}}$$ which can be done far quicker without the algebra contortion.