Question:- A sample of C3H8 has 6.72 x 10^24 H atoms. What is the total mass of the sample?
Answer
To find the total mass of the sample of C3H8, we need to follow these steps:
Given information:
The chemical composition of this compound is C3H8.
The sample is composed of the 6.72 × 10^24 H atoms.
Step 1: Calculate the molar mass of the C3H8 molecule.
The molar mass of C3H8 = 3×12.011 g/mol + 8×1.008 g/mol = 44.097 g/mol.
Step 2: Calculate the number of C3H8 in the given sample.
Number of H atoms of single C3H8 molecule is 8.
Number of molecules of C3H8 = (6.72 × 10^24) H atoms / 8 = 8.4×10^23 molecules
Step 3: Calculate the moles of C3H8 the sample contains.
Number of moles = (1 molecule / Avogadro’s Constant)
Moles = (8.4 × 10^23 molecules) / (6.022 × 10^23 molecules / mol) = 1.395 mol.
Step 4: Work out total mass of the sample.
Mass equal to the sum of (moles number) × (molecular weight).
Subtotal weight = 1.395 moles x 44.097 g/mole = 61.51 grams.
Therefore, the total mass of the discovered C3H8 sample is 61.51 grams remembering that it contains 6.72 × 10^24 hydrogen atoms.
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