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ChemistryChemical KineticsArrhenius EquationMedium2 minQB

ChemistryMediuminteger

Find temperature (in kelvin) at which rate constant are equal for the following reaction?

$\displaylines A \to B, k = 1 0^{4} \times e^{- \frac{27000}{T}} P \to Q, k = 1 0^{6} \times e^{- \frac{30000}{T}}$

Answer:

651

Solution:

$1 0^{4} e^{\frac{- 27000}{T}} = 1 0^{6} e^{\frac{- 30000}{T}}$

$e^{\frac{3000}{T}} = 100$

$\frac{3000}{T} = 2 ln 10$

$T = \frac{3000}{2 \times 2.303}$

$T = 651.32 K$

$T \approx 651 K$

Stream:JEESubject:ChemistryTopic:Chemical KineticsSubtopic:Arrhenius Equation

⏱ 2mℹ️ Source: QB

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