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raketka [301]
1 year ago
6

Determine the limiting reactant and calculate the number of grams of sulfur dioxide, so2, that can be formed when 27.3 g of meth

ane thiol, ch3sh, reacts with 38.6 g of oxygen, o2.
Chemistry
1 answer:
lyudmila [28]1 year ago
6 0

When Methane thiol, CH₃SH, reacts with O₂, 25.8 grams of Sulfur dioxide, SO₂ is formed and limiting reactant is Oxygen, O₂.

The balanced chemical reaction is:

<em>CH₃SH(g) + 3 O₂(g) → 2 H₂O(g) + CO₂(g) + SO₂(g)</em>

<em />

             Molecular weights:       Actual/given mass:

CH₃SH = 48.11 g/mol                    27.3 g      

O₂         = 32.01 g/mol                    38.6 g  

H₂O      = 18.01 g/mol            

CO₂      = 44.01 g/mol                  

SO₂       = 64.06 g/mol

Number of moles = <u>    Given mass     </u>

                                  Molecular mass

So,

moles of methane thiol = 27.3 ÷ 48.11= 0.56 moles

moles of oxygen = 32.01÷38.6 = 0.82 moles

From the reaction,

1 mole of CH₃SH reacts with 3 moles of O₂  to give 1 mole of SO₂

Thus, 0.56 moles of CH₃SH reacts to form 1 × 0.56 = 0.56 moles of SO₂

Mass of SO₂ produced is 0.56 × 64.06 g = 35.86 g

moles of SO₂ = 35.86 ÷ 64.06 = 0.55 moles

So,

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Explanation:

From the information given:

oxidation of oxidized solution takes place at 950° C

For wet oxidation:

The linear and parabolic coefficient can be computed as:

\dfrac{B}{B/A} = D_o \ exp \Big [\dfrac{-\varepsilon a}{k_BT} \Big]

Using D_o and E_a values obtained from the graph:

Thus;

\dfrac{B}{A} = 1.63 \times 10^8 exp \Big [ \dfrac{-2.05}{8.617 \times 10^{_-5}\times 1173}\Big] \\ \\ = 0.2535 \ \ \mu m/hr

B= 386 \  exp \Big [-\dfrac{0.78}{8.617 \times 10^{-3} \times 1173} \Big] \\ \\  = 0.1719 \ \mu m^2/hr

So, the initial time required to grow oxidation is expressed as:

t_{ox} = \dfrac{x}{B/A}+ \dfrac{x^2}{B} - t_o (initial)

where; \\ \\ t_{ox} = 2 \ hrs;\\ \\ x = 0.5 \\ \\ B/A = 0.2535 \\ \\  B = 0.1719

∴

2= \dfrac{0.5}{0.2535}+ \dfrac{0.5^2}{0.1719} - t_o (initial)

2 = 3.4267 - t_o (initial) \\ \\ t_o(initial) = 3.4267 - 2  \\ \\ t_o(initial) = 1.4267 \ hr

NOW;

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d_o = \dfrac{-b \pm \sqrt{b^2-4ac}}{2a}

d_o = \dfrac{-(0.6781) \pm \sqrt{(0.6781)^2-4(1)(-0.245)}}{2(10)}

d_o = \dfrac{-(0.6781) \pm \sqrt{0.45981961+0.98}}{20}

d_o = \dfrac{-(0.6781) \pm \sqrt{1.43981961}}{20}

d_o = \dfrac{-(0.6781) + \sqrt{1.43981961}}{20} \ OR \   \dfrac{-(0.6781) - \sqrt{1.43981961}}{20}

d_o =0.02609 \ OR \   -0.0939

Thus; since we will consider the positive sign, the initial thickness d_o is ;

≅ 0.261 μm

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