4. A purified glucose sample is analyzed by combustion. 0.1486g of CO2 and 0.0609g of water are produced. The sample contains C, H and O. If the molecular weight is 180 amu; Determine the empirical and molecular formula of the compound.
Answer :
combustion reaction of sugar is given in the image attached
Calculations:
Mass of CO2 obtained =0.1486 g
Molar mass of CO2 = 44 g/mol
Moles of CO2 obtained = mass obtained / molar mass
= 0.1486 / 44 = 0.0034 mol
x = moles of CO2 obtained = 0.0034
Mass of H2O produced = 0.0609 g
Molar mass of H2O = 18 g/mol
Moles of H2O produced = masa produced / molar mass
= 0.0609 / 18 = 0.0034 mol
y/2 = moles of H2O obtained = 0.0034
y = 2 * 0.0034 = 0.0068
x = atomicity of carbon in the Glucose
y = atomicity of Hydrogen in the glucose
x = 0.0034
y = 0.0068
x / y (simplest ratio of C and H) = 0.0034 / 0.0068 = 1/2
So, atomicity of carbon in empirical formula = 1
Atomicity of Hydrogen in empirical formula = 2
( Keep in mind atomicity of carbon and oxygen is same in Glucose)
Atomicity of oxygen in the empirical formula = 1
Empirical formula of Glucose = C1 H2 O1
Empirical formula mass of Glucose = 1 * atomic mass of C + 2 * atomic mass of H + 1 * atomic mass of oxygen
= 1 * 12 + 2 * 1 + 1 * 16 = 30 amu
Molecular formula mass = 180 amu
Molecular formula mass = n * empirical formula mass
n = 180 amu / 30 amu = 6
So, Molecular formula is C6 H12 O6
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