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Question

The number of oxygen atoms in 20 grams of sulphur trioxide is the same as those present in X grams of ozone . The atomic mass of sulphur and oxygen are 32 u and 16 u respectively. Find the value of x.

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Solution

Dear Student,

Molar mass of Sulphur trioxide = 32 + 3 x 16 = 80 g/mol
Number of grams of O in 80 g SO3 = 48 g
Number of grams of oxygen in 20 g SO3 = (48/80) x 20
= 12 g
Number of moles in 12 g oxygen = 12/16 = 0.75
Number of atoms in 0.75 moles of oxygen
= 0.75 x 6.02 x 1023
= 4.515 x 1023
Molar mass of ozone, O3 = 3 x 16 = 48 g
6. 02 x 1023 atoms make 48 g ozone
4.515 x 1023 atoms make (48 / 6.02 x 1023) x 4.515 x 1023 = 36 g ozone.

Hence, the value of X is 36g

​Regards,

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