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suter [353]
3 years ago
10

The zero order reaction 2N2O→2N2+O2 has the reaction constant k is 6.28×10−3 molL s. If the initial concentration of N2O is 0.96

2 mol/L, what is the concentration of N2O after 10.0 seconds? Your answer should have three significant figures (three decimal places).
Chemistry
1 answer:
Talja [164]3 years ago
5 0

<u>Answer:</u> The concentration of N_2O in three significant figures will be 0.899 mol/L.

<u>Explanation:</u>

For the given reaction:

2N_2O\rightarrow 2N_2+O_2

The above reaction follows zero order kinetics. The rate law equation for zero order follows:

k=\frac{1}{t}([A_o]-[A])

where,

k = rate constant for the reaction = 6.28\times 10^{-3}\text{ mol }L^{-1}s^{-1}

t = time taken = 10 sec

[A_o] = initial concentration of the reactant = 0.962 mol/L

[A] = concentration of reactant after some time = ?

Putting values in above equation, we get:

6.28\times 10^{-3}=\frac{1}{10}(0.962-[A])

[A]=0.899mol/L

Hence, the concentration of N_2O in three significant figures will be 0.899 mol/L.

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<u>Answer:</u> The mass of iron produced will be 77.6 grams

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To calculate the number of moles, we use the equation:

\text{Number of moles}=\frac{\text{Given mass}}{\text{Molar mass}}     .....(1)

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Given mass of FeO = 125 g

Molar mass of FeO = 71.8 g/mol

Putting values in equation 1, we get:

\text{Moles of FeO}=\frac{125g}{71.8g/mol}=1.74mol

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Given mass of aluminium = 25.0 g

Molar mass of aluminium = 27 g/mol

Putting values in equation 1, we get:

\text{Moles of aluminium}=\frac{25.0g}{27g/mol}=0.93mol

The given chemical reaction follows:

3FeO+2Al\rightarrow 3Fe+Al_2O_3

By Stoichiometry of the reaction:

2 moles of aluminium metal reacts with 3 mole of FeO

So, 0.93 moles of aluminium metal will react with = \frac{3}{2}\times 0.93=1.395mol of FeO

As, given amount of FeO is more than the required amount. So, it is considered as an excess reagent.

Thus, aluminium metal is considered as a limiting reagent because it limits the formation of product.

By Stoichiometry of the reaction:

2 moles of aluminium metal produces 3 mole of iron metal

So, 0.93 moles of aluminium metal will produce = \frac{3}{2}\times 0.93=1.395moles of iron metal

  • Now, calculating the mass of iron metal from equation 1, we get:

Molar mass of iron = 55.85 g/mol

Moles of iron = 1.395 moles

Putting values in equation 1, we get:

1.395mol=\frac{\text{Mass of iron}}{55.85g/mol}\\\\\text{Mass of iron}=(1.395mol\times 55.85g/mol)=77.6g

Hence, the mass of iron produced will be 77.6 grams

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