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Calculate the mass of coke needed to react with 0.302 kg of pure tin oxide (SnO2) given the reaction SnO2 + 2C -> Sn + 2CO and that coke is 80% carbon.
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Step-by-step solution
5 stepsTo solve this problem, we need to follow these steps:
- Calculate the molar mass of tin oxide ().
- Determine the number of moles of from the given mass.
- Use the stoichiometry of the balanced chemical equation to find the moles of carbon (C) required.
- Calculate the mass of carbon required.
- Calculate the mass of coke needed, considering it is 80% carbon.
Given:
- Reaction:
- Mass of pure tin oxide () = 0.302 kg
- Atomic masses: Sn = 119 g/mol, O = 16 g/mol, C = 12 g/mol
- Coke contains 80% carbon by mass.
Calculate the molar mass of .
The molar mass of is the sum of the atomic mass of Sn and two times the atomic mass of O.
Determine the number of moles of .
First, convert the mass of from kg to g.
Now, calculate the moles of .
Use stoichiometry to find the moles of carbon (C) required.
From the balanced chemical equation, 1 mole of reacts with 2 moles of C.
Since we have 2 moles of , the moles of carbon required will be:
Calculate the mass of carbon required.
The molar mass of carbon is 12 g/mol.
Calculate the mass of coke needed.
Coke contains 80% carbon by mass. This means that the mass of carbon calculated (48 g) represents 80% of the total mass of coke.
Let the mass of coke be .Finally, convert the mass of coke from g to kg.
Comparing this result with the given options:
A. 0.40 kg
B. 0.20 kg
C. 0.06 kg
D. 0.04 kgThe calculated mass of coke is 0.06 kg.
The final answer is
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