Reaction Rates & Gases question

[Zeitgeist]

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...

 

[chemisttree]

Are you sure that you didn't solve for methyl isocyanide?

 

[Blueshift5]

it is important to thoroughly check your calculations and make sure you are using the correct units. In this case, it appears that there may have been an error in converting between torr and atm. The correct answer is 8.25 torr, which is equivalent to 0.0109 atm. It is also important to double check the given information, such as the initial pressure and volume, to ensure that you are using the correct values in your calculations. Additionally, it may be helpful to show your work and any conversions you made in order to identify any potential errors. Overall, it is important to carefully follow the given information and equations, and to always double check your work for accuracy.