Question

$0.0833$moles of the carbohydrate contain $1.0$g hydrogen. IF the molecular formula of the carbohydrate is ${C_x}{H_y}{O_z}$, then the value of x,y and are:
(A) x=6, y=12,z=6
(B) x=4,y=8,z=4
(C) x=5,y=10,z=6
(D) None of these

Answer 1

Hint: At first we will write what is given in the question. Then we will calculate the number of hydrogen atoms present in the one mole of the carbohydrate . Then we will write the empirical formula. Form that we can find the molecular formula of that carbohydrate. We will choose the correct option.

Complete step-by-step solution:Step1:Moles of carbohydrate given= $0.0833$
Mass of hydrogen given: $1.0$g
We need to find the molecular formula of the hydrocarbon.
Step2:$1.0$g if hydrogen is contained by the $0.0833$moles of the carbohydrate. So now we can find the number of moles of hydrogen into the one mole of the carbohydrate.
One mole of the carbohydrate will contain hydrogen atoms is= $\dfrac{1}{{0.0833}} = 12$
So there are 12 atoms of hydrogen in one mole of the carbohydrate.
Step3:The carbohydrate contains the three atoms. Carbon, Oxygen and hydrogen. The empirical formula of the carbohydrate is the ${C_m}{({H_2}O)_n}$. So using the formula we can see that $2n$ is equal to $12$. So there will be 12 hydrogen, six oxygen and the six carbons.
Hence the formula will be ${C_6}{H_{12}}{O_6}$

So the correct option will be (A).

Note:Hydrocarbon is the organic compound. It is composed of hydrogen carbon and oxygen. They are generally naturally occurring compounds. They are our primary source of energy. It is the basis of natural gas, coal, crude oil and all other energy sources.