Question

If 1 g of carbon contains x atoms, what will be the number of atoms in 1 g of magnesium?
(C=12, Mg=24)​

Answer 1

Answer:

1 g of carbon contains 6.022×10²² atoms

1g of Magnesium contains 2× 6.022×10²² atoms = 12.044×10²² Atoms

Answer 2

Solution

The ratio of atoms in carbon and magnesium will be same as the ratio of their moles. So, first of all we should find out: <br> (i) moles of carbon in 1 gram of carbon, and <br> (ii) moles of magnesium in 1 grams of magnesium <br> This can be done as follows. <br> (a) 1 mole of carbon = Gram atomic mass of carbon <br>

= 12

grams <br> Now, 12g of carbon

= 1

mole <br> So,

1 g

of carbon

= 1/12

mole <br> Thus, we have

1/12

mole of carbon element and it contains x atoms of carbon. Now, since an equal number of moles of all moles of all the elements contains an equal number of atoms, so

1/12

moles of magnesium will also contain x atom s of magnesium. We will now calculate the moles of magnesium in 1 grams of magnesium. <br> (b) 1 mole of magnesium = Grams atomic mass of magnesium <br>

= 24

grams <br> Now,

24 g

of magnesium = 1 mole <br> So, 1g of magnesium

= 1/24

mole <br> We know that :

1/12

mole of magnesium contains

= x

atoms <br> So,

1/24

mole of magnesium contains

= (x xx 12)/(24)

atoms <br>

= x/2

atoms <br> Thus, if 1 gram of carbon contains x atoms, then 1 gram of magnesium will have