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EleoNora
1 month ago
12

For the chemical equation SO 2 ( g ) + NO 2 ( g ) − ⇀ ↽ − SO 3 ( g ) + NO ( g ) SO2(g)+NO2(g)↽−−⇀SO3(g)+NO(g) the equilibrium co

nstant at a certain temperature is 2.70 . 2.70. At this temperature, calculate the number of moles of NO 2 ( g ) NO2(g) that must be added to 2.99 mol SO 2 ( g ) 2.99 mol SO2(g) in order to form 1.30 mol SO 3 ( g ) 1.30 mol SO3(g) at equilibrium.
Chemistry
1 answer:
lions [2.9K]1 month ago
3 0

Answer: The calculated moles of NO_2 that need to be added is 0.37 mol.

Explanation:

The chemical equation in question is:

                      SO_2(g)+NO_2(g)\rightleftharpoons SO_3(g)+NO(g)

Initially, the molar quantities are as follows: 2.99, x, 0, 0

At equilibrium: (2.99-1.30), (x-1.30), 1.30, 1.30

                       = 1.69.

The equation for the equilibrium constant is given by:

K_c=\frac{[SO_3][NO]}{[SO_2][NO_2]}

Now substituting the provided values into this equation yields:

2.70=\frac{(1.30)\times (1.30)}{(1.69)\times (x-1.30)}

x  = 1.67 mol.

The moles of NO_2 needed to be added is (x-1.30) = (1.67-1.30) = 0.37 mol.

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The empirical formula is K₂CO₃.  

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The atom ratio aligns with the mole ratio, which means our task is to find the molar ratios for K:C:O.  

I prefer to summarize these calculations in table form.  

Element Moles  Ratio¹ Integers²  

     K       0.104   2.00         2

     C       0.052  1.00          1

     O      0.156   3.00         3

¹ To obtain the molar ratio, each mole value is divided by the smallest mole count.  

² Convert the ratio values to integers (2, 1, and 3).

The empirical formula is K₂CO₃.

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Explanation:

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The stoichiometric mole ratio is:

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O₂: 3 moles

Moles are calculated as mass divided by molar mass:

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For oxygen: w = 5.0 g, molar mass = 32 g/mol, thus n = 5 / 32 = 0.15625 mol

Comparing to stoichiometric ratios, sulfur is in excess, so oxygen is the limiting reagent, controlling product formation.

Using proportions:

3 mol O₂ produce 2 mol SO₃, so 1 mol O₂ yields 2/3 mol SO₃.

Therefore, 0.15625 mol O₂ yields (2/3) × 0.15625 = 0.1042 mol SO₃.

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Answer:

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