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The conversion of methyl isonitrile to acetonitrile in the gas phase at 250 °C is first order in with a rate constant of 3.00x10-3. If the initial concentration of CH3NC is 0.0310 M, the concentration of CH3NC will be 0.00725 M after how many seconds have passed.

Sagot :

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Explanation:

Given:

- Initial concentration (A₀) = 0.0310 M

- Final concentration (A) = 0.00725 M

- Rate constant (k) = 3.00 × 10^-3 s^-1

- Reaction is first-order, so the equation is: ln(A/A₀) = -kt

Rearrange the equation to solve for time (t):

t = -ln(A/A₀) / k

Plug in the values:

t = -ln(0.00725 / 0.0310) / (3.00 × 10^-3 s^-1)

= -ln(0.233) / (3.00 × 10^-3 s^-1)

= 531.5 s

Therefore, it will take approximately 531.5 seconds for the concentration of CH₃NC to decrease from 0.0310 M to 0.00725 M.

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