Question

Продолжительность реакции при температуре 280 К составляет 540 мин. Сколько времени потребуется для прохождения реакции при 300 К, если температурный коэффициент скорости равен 3? Ответ: 60 мин.

Answer 1

Дано:

T₁ = 280 К

t₁ = 540 мин

T₂ = 300 К

γ = 3

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Найти:

t₂ - ?

Решение:

1) Для начала мы воспользуемся формулой Вант-Гоффа, чтобы определить во сколько раз реакция будет протекать:

V₂/V₁ = γ^((T₂ - T₁)/10)

V₂/V₁ = 3^((300 - 280)/10) = 3^(20/10) = 3² = 9 ⇒ Реакция будет протекать в 9 раз быстрее.

2) Теперь находим время, за которое будет протекать реакция:

t₂ = t₁ / 9 = 540 мин / 9 = 60 мин

Ответ: t₂ = 60 мин

Решено от : $DK954$

Answer 2

Calculation of Reaction Time at 280 K

To calculate the reaction time at a temperature of 280 K, we are given that the reaction time is 540 minutes.

Calculation of Reaction Time at 300 K

To calculate the reaction time at a temperature of 300 K, we need to use the temperature coefficient of reaction rate, which is given as 3.

The temperature coefficient of reaction rate is defined as the ratio of the rate constant at one temperature to the rate constant at another temperature. It is denoted by the symbol "Q10" or "Q20" depending on the reference temperature.

In this case, we are given the temperature coefficient as 3, which means that for every 10-degree increase in temperature, the reaction rate will increase by a factor of 3.

To calculate the reaction time at 300 K, we can use the formula:

Reaction Time at 300 K = Reaction Time at 280 K * (Q10)^(ΔT/10)

Where: - Reaction Time at 280 K = 540 minutes (given) - Q10 = Temperature coefficient of reaction rate = 3 (given) - ΔT = Change in temperature = 300 K - 280 K = 20 K

Substituting the values into the formula:

Reaction Time at 300 K = 540 minutes * (3)^(20/10)

Simplifying the equation:

Reaction Time at 300 K = 540 minutes * (3)^2

Reaction Time at 300 K = 540 minutes * 9

Reaction Time at 300 K = 4860 minutes

Therefore, the time required for the reaction to occur at a temperature of 300 K, with a temperature coefficient of 3, is 4860 minutes or 81 hours.

Please note that the answer provided is based on the given information and calculations.