In: Chemistry
What mass of F2 would have the same number of diatomic molecules as there are hydrogen atoms in 20 grams of ammonia(NH3)?
Molecular mass of Ammonia (NH3 ) = (14 x 1) + (1 x 3) = 17 g mol-1
17 g of Ammonia contains 3 g of hydrogen
1 g of Ammonia contains 3 / 17 g of hydrogen
20 g of Ammonia contains (3 / 17) x 20 = 3.5294 g of hydrogen
Atomic mass of hydrogen = 1 amu
No. of atoms in 1 g of hydrogen = 6.022 x 1023
No. of atoms in 3.5294 g of hydrogen = 3.5294 x 6.022 x 1023
No. of hydrogen atoms in 20 g of ammonia = 3.5294 x 6.022 x 1023
Atomic mass of fluorine = 19
Molecular mass of fluorine = 19 x 2 = 38 g mol-1
38 g of fluorine contains 6.022 x 1023 diatomic molecules of fluorine
Mass of fluorine which would contain 3.5294 X 6.022 x 1023 diatomic molecules of fluorine = 3.5294 x 38 = 134.1172 g
Mass of F2 which would have same number of diatomic molecules as there are hydrogen atoms in 20 grams of ammonia = 134.1172 g