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For first order plot of ln( [tex]P_{SO_{2}Cl_{2}}[/tex]) vs time will be a straight line, which shows first order reaction

What is First Order Reaction ?

A first-order reaction can be defined as a chemical reaction in which the reaction rate is linearly dependent on the concentration of only one reactant. In other words, a first-order reaction is a chemical reaction in which the rate varies based on the changes in the concentration of only one of the reactants

Every mole of SO₂Cl₂ that dissociates results in a mole of SO₂ &Cl₂

[tex]\rm P_{total}= P_{Cl_{2}\\}+ P_{SO_{2}Cl_{2}}+ P_{SO_{2}}\\\\ P_{total} = P_{o}- \beta +\beta + \beta\\\\ P_{total} = P_{o}+\beta[/tex]

For first order plot of ln( [tex]P_{SO_{2}Cl_{2}}[/tex]) vs time will be a straight line.

t(hr)           [tex]P_{SO_{2}Cl_{2}}[/tex]                            ln([tex]P_{SO_{2}Cl_{2}}[/tex] )

0                11.07                                  2.404

3                 7.35                                 1.995

6                4.88                                 1.585

9                3.24                                 1.176

12                2.15                                 0.765

15                1.43                                 0.358

β = P(total) - P(initial)

[tex]\rm P_{SO_{2}Cl_{2}}[/tex] = P₀ - β

for t= 3

β =3.72

and

[tex]\rm P_{SO_{2}Cl_{2}}[/tex] = 7.35

For first order plot of ln( [tex]P_{SO_{2}Cl_{2}}[/tex]) vs time will be a straight line, which shows first order reaction.

To know more about First order Reaction

https://brainly.com/question/2284525

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