What Is the Pressure of Methyl Cyanide After 520 Seconds?

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Homework Statement


In the gas phase methyl isocyanide (CH3NC) isomerizes to methyl cyanide (CH3CN) in a first order reaction with a rate constant of 7.70x10^-4s^-1 at 500K. An experiment is performed, where 25.0 torr of methyl isocyanide is placed in 23.2L container at 500K.

After 520 seconds, what is the pressure of methyl cyanide?


Homework Equations


ln (P)t/(P)0 = -kt


The Attempt at a Solution


I used the equation above to solve for (P)t, and I got 16.75, but the answer in my book is 8.25 torr, what am I doing wrong here? Please help...
 
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