Question

when x molecules are removed from 200 mg of N2O , 2.89 *10 to the power minus 3 mole of N2O are left .x will be 

Answer 1

molecular mass of N₂O = 44
weight of N₂O = 200mg = 0.2g
moles of N₂O present = 0.2/44 = 4.55×10^(-3)
Let moles of N₂O removed = y
moles of N₂O remained = 2.89×10^(-3)

Thus 4.55×10^(-3) - y = 2.89×10^(-3)
⇒ -y = 2.89×10^(-3) - 4.55×10^(-3) 
⇒ y = 4.55×10^(-3) - 2.89×10^(-3)
⇒ y = 1.66×10^(-3) moles

No. of molecules in 1 mole = 6.022×10^(23)
No. of molecules in y moles = y×6.022×10^(23) = 1.66×10^(-3)×6.022×10^(23)                                                =9.97×10^(20) 

Thus  x = 9.97×10^(20) molecules