The number of oxygen atoms required to combine with 14 gm of nitrogen to form N2O3( 2 and 3 are in subscript) when 80% of nitrogen is converted to N203( 2 and 3 are in subscript)

A balanced chemical equation showing the reaction between N2 and O2 leading to the formation of N2O3 is written as 

 2N2 + 3O2 → 2N2O3

We are given that 14 gram of nitrogen is present in the system, and we have to calculate the number of oxygen atoms when 80 % of this amount of N2 is converted to N2O3. According to the above equation, 56 g of N2 reacts with 96 g of O2. 80 % of 14 gm is 11.2 gm. Thus

 56 g of N2 → 96 g of O2

 So 1 gram of N2 → ( 96 / 56)  g of O2

 Hence 11.2 grams of N2 → ( 96 X 11.2 )/ 56  g of O2

 = 19.2 g of O2

Now the molar mass of O2 is 32 g / mol. So 

 32 g of O2 = 1 mol = 6.023 X 1023 molecules of O2

Therefore 1 g of O2 =  (6.023 X 1023) / 32 molecules of O2

Hence 19.2 g of O2 =  (6.023 X 1023 X 19.2 ) / 32 molecules of O2

 = 3.614 X 1023 molecules of O2

Now 1 molecule of O2 = 2 atoms of oxygen 

Therefore 3.614 X 1023 molecules of O2 = 2 X 3.614 X 1023 molecules of O2

 = 7.228 X 1023 atoms of oxygen

 

  • 104
What are you looking for?