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Answer :
Final answer:
To calculate the mass of oxygen needed to react with 21.5 g of hexane (C6H14), we balance the chemical equation, convert the given mass to moles, use the mole ratio to find moles of oxygen needed, and then convert this to mass, resulting in 75.8 g of oxygen. Therefore the correct option is D.
Explanation:
The student's question is about calculating the mass of oxygen (O2) required to react completely with a given mass of hexane (C6H14). To solve this problem, we will first balance the equation, then perform a series of conversions from mass to moles and use the mole ratio to find the required mass of oxygen.
Write the balanced chemical equation: 2 C6H14 + 19 O2 ⇒ 12 CO2 + 14 H2O
Determine the molar mass of hexane (C6H14)
Convert the mass of C6H14 to moles
Use the mole ratio from the balanced equation (19 moles of O2 per 2 moles of C6H14)
Convert moles of O2 to mass of O2
With a molar mass of C6H14 being approximately 86.18 g/mol, the calculation process is as follows:
Calculate moles of C6H14: 21.5 g C6H14 * (1 mol/86.18 g) = 0.2494 mol
Calculate moles of O2 needed: 0.2494 mol C6H14 * (19 mol O2/2 mol C6H14) = 2.3713 mol O2
Calculate mass of O2: 2.3713 mol O2 * (32.00 g/mol) = 75.8 g
Therefore, 75.8 g of O2 is required to react completely with 21.5 g of C6H14.
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