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3 years ago

If 209g of ethanol are used up in a combustion process, calculator the volume of oxygen used for the combustion at stp

Computers and Technology

1 answer:

SOVA2 [1]3 years ago

7 0

Answer:

a) The volume of oxygen used for combustion at STP is approximately 305 dm³

b) The volume of gas released during combustion at STP is approximately 508 dm³

Explanation:

The given chemical reaction equation for the burning of ethanol in air, is presented as follows;

2CH₃CH₂OH (l) + 6O₂ (g) → 4CO₂ (g) + 6H₂O

The mass of ethanol used up in the combustion process, m = 209 g

The molar mass of ethanol, MM = 46.06844 g/mol∴

The number of moles of ethanol in the reaction, n = m/MM

∴ n = 209 g/(46.06844 g/mol) ≈ 4.537 moles

a) Given that 2 moles of ethanol, CH₃CH₂OH reacts with 6 moles of oxygen gas molecules, O₂, 4.54 moles of ethanol will react with (6/2) × 4.537 = 13.611 moles of oxygen

The volume occupied by one mole os gas at STP = 22.4 dm³

The volume occupied by the 13.611 moles of oxygen gas at STP, 'V', is given as follows;

V = 13.611 mol × 22.4 dm³/mole = 304.8864 dm³ ≈ 305 dm³

The volume occupied by the 13.611 moles of oxygen gas at STP, V = The volume of oxygen used for the combustion ≈ 305 dm³

b) The total number of moles of gases released in the reaction, is given as follows;

The total number of moles = (4.537/2) × (4 + 6) = 22.685 moles of gas

The total volume of gas released, $V_T$ = The volume of gas released during the combustion at STP = 22.685 moles × 22.4 dm³/mole = 508.144 dm³ ≈ 508 dm³

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1) To answer that, you should have to know The Rouché-Capelli Theorem. This theorem establishes a connection between how a linear system behaves and the ranks of its coefficient matrix (A) and its counterpart the augmented matrix.

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4) The rank of (A|B) is also equal to 3, found through Gauss elimination:

So this linear system is consistent and has a unique solution.

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3 years ago

If 209g of ethanol are used up in a combustion process, calculator the volume of oxygen used for the combustion at stp​

If 209g of ethanol are used up in a combustion process, calculator the volume of oxygen used for the combustion at stp