138 g of ethyl alcohol is mixed with 72 g of water. The ratio of mole fraction of alcohol to water is

Options

A. `3:4`
B. `1:2`
C. `1:4`
D. `1:1`

Answer

A

Explanation

Number of moles of ethyl alcohol `=(138)/(46)=3` ,brgt Number of moles of water `=(72)/(18)=4`
`X_(C_(2)H_(5)OH)=(3)/(3+4)`
`=(3)/(7)`
`X_(H_(2)O)=(4)/(3+4)`
`=(4)/(7)`
`(X_(C_(2)H_(5)OH))/(X_(H_(2)O))=(3//7)/(4//7)`
`=(3)/(4)`