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What is the theoretical oxygen demand in liters of air for a 50 mg / L acetone solution, CH3COCH3, to decompose completely?

Sagot :

Answer:

18.368 Liters

Explanation:

Given that balanced Acetone oxidation,

= C3H6O + 4O2 = 3CO2 + 3H2O

lets assume volume of acetone = 1 liter

mass of acetone =  50 mg

number of moles present = (5*10^-3)g / ( 58.08 ) = 0.0000861 mol

Given that : I mol of ( acetone ) = 4 mol of oxygen

∴0.0000861 mol of acetone = 0.0003444 mol of oxygen

also note that the ratio of air to oxygen is

0.21 mol of oxygen  = 1 mol of air

∴ 0.0003444 mol of oxygen  =  0.00164 mol of air      (0.0003444 / 0.21 )

note : 1 mol at STP = 22.4 L     (at STP = Temperature = O°C

Finally the theoretically oxygen demand in liters of air for a 50 mg/L of acetone to decompose

Given that Acetone decompose/degrade completely between 500°C - 600°

we will take 500°  for the sake of this calculation

The oxygen demand in liters will be

=  22.4 * 0.00164 * 500 = 18.368 Liters

The theoretical oxygen demand in liters of air for a 50 mg / L acetone solution, to decompose completely is 18.368 Liters.

How we calculate moles?

Moles of any substance will be calculated as:

n = W/M, where

W = given mass

M = molar mass

Given chemical reaction is:

CH₃COCH₃ + 4O₂ → 3CO₂ + 3H₂O

Given mass of acetone = 50mg = 0.05g

Moles of acetone = 0.05g / 58.08g/mol = 0.0000861 mole

From the stoichiometry of the reaction, it is clear that:

1 mole of CH₃COCH₃ = 4 moles of O₂

0.0000861 mole of CH₃COCH₃ = 4×0.0000861=0.0003444 moles of O₂

We know that ratio of air is:

0.21 mole of oxygen present = in 1 mole of air

0.0003444 mole of oxygen present = in 0.0003444/0.21=0.00164 mole of air

At STP 1 mole of gas is present in 22.4 Liter.

Degradation of acetone takes place in 500°C - 600°C.

Theoretical oxygen demand = 22.4×0.00164×500 = 18.368 Liters

Hence, theoretical oxygen demand is 18.368 Liters.

To know more about theoretical oxygen demand, visit the below link:

https://brainly.com/question/13251445