In an organic compound of molar mass greater than 100 containing only C, H and N, the percentage of C is 6 times the percentage of H while the sum of the percentage of C and H is 1.5 times the percentage of N. What is the least molar mass of the compound?

Options

A. `175`
B. `140`
C. `105`
D. `210`

Answer

B

Explanation

Let assume `%` of `H` is `x`
`%` of `H = x`
`%` of `C = 6x`
`%` of `N=(7x)/(1.5)`
`{:(,"Element",%,"Ratio of mol","Simplest"),(,H,x,x//1=1,6),(,C,6x,6x//12=1//2,3),(,N,(7x)/(1.5),(7x)/(1.5xx14)=(1)/(3),2),(,because,F.F=C_(3)H_(6)N_(2),,):}`
atomic mass `=70`
molar mass `=140`