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
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.
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