Question #0b136

2 Answers
Mar 29, 2017

Probably glucose (I assume other than C and H, only oxygen is in the molecule)

Explanation:

Since the question does not provide any other element, I assume it contains oxygen (in addition to given hydrogen and carbon). I also assume that the compound components are provided in weight ratio (40% by weight for Carbon and 6.67% by weight for Hydrogen).

My solution:
Carbon 12 grams/mol, Hydrogen 1 gram/mol, and Oxygen 16 grams/mol.

What is the oxygen weight? 100-40-6.67 = 53.33%

Then,
for Carbon, 180times(0.40/12) =72/12 = 6
for Hydrogen, 180times(0.0667/1)=12/1=12
For Oxygen, 180times(0.5333/16)= 96/16= 6

The formula will be C_6H_12O_6, which is glucose. Glucose molecular weight is exactly 180 grams.

Mar 29, 2017

Given

C->40%;H->6.67%

So the rest will be O->(100-40-6.67)%=53.33%

Dividing the given percentage of C , H and O with their respective atomic masses and taking their ratio we get the ratio of number of atoms of the constituent elements present in the compound.

So the ratio of number of atoms of C , H and O in the compound will be

n_C:n_H:n_O=40/12:6.67/1:53.33/16

=3.33:6.67:3.33

=3.33/3.33:6.67/3.33:3.33/3.33=1:2:1

Hence the empirical formula of the compound is CH_2O

let its molecular formula be (CH_2O)_n

So calculated value of molar mass will be (12xx1+1xx2+1xx16)n=30n g"/"mol

But given molar mass is 180g"/"mol

Hence 30n=180=>n =6

So molecular formula of the compound is C_6H_12O_6