Question # The ratio mass of oxygen and nitrogen of a particular gaseowa mixture is ( 1: 4 . ) The ratio of number of their molecule is.

# The ratio mass of oxygen and nitrogen of a particular gaseowa mixture is ( 1: 4 . ) The ratio of number of their molecule is.

(a) 1: 4

(b) 7: 32

(c) 1: 8

(d) 3: 16

Solution

( frac{n_{mathrm{O}_{2}}}{n_{mathrm{N}_{2}}}=frac{left(m_{mathrm{O}_{2}}right)}{frac{left(M_{mathrm{O}_{2}}right)}{left(M_{mathrm{N}_{2}}right)}} )

( =0.9 times 60 mathrm{mg}= )

where, ( m_{mathrm{O}_{2}}= ) given mass of ( mathrm{O}_{2}, m_{mathrm{N}_{2}}= ) given mass of ( mathrm{N}_{2} ) ( M_{mathrm{O}_{2}}= ) molecular mass of ( mathrm{O}_{2}, M_{mathrm{N}_{2}}= ) molecular mass of ( mathrm{N}_{2} )

( n_{mathrm{O}_{2}}= ) number of moles of ( mathrm{O}_{2}, n_{mathrm{N}_{2}}= ) number of moles of ( mathrm{N}_{2} )

[

=left[frac{m_{mathrm{O}_{2}}}{m_{mathrm{N}}} mid frac{28}{32}=frac{1}{4} times frac{28}{32}=frac{7}{32}right.

]