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If 1 g of sodium carbon contains x atoms, what will be the number of atoms in 1 g of magnesium ? `(C= 12u, Mg = 24 u)` |
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Answer» 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: (i) moles of carbon in 1 gram of carbon, and (ii) moles of magnesium in 1 grams of magnesium This can be done as follows. (a) 1 mole of carbon = Gram atomic mass of carbon `= 12` grams Now, 12g of carbon `= 1` mole So, `1 g` of carbon `= 1/12` mole 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. (b) 1 mole of magnesium = Grams atomic mass of magnesium `= 24` grams Now, `24 g` of magnesium = 1 mole So, 1g of magnesium `= 1/24` mole We know that : `1/12` mole of magnesium contains `= x` atoms So, `1/24` mole of magnesium contains `= (x xx 12)/(24)` atoms `= x/2` atoms Thus, if 1 gram of carbon contains x atoms, then 1 gram of magnesium will have `x/2` atoms in it. |
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