# Rate constant converion [closed]

I need to calculate the half life for a first order reaction for which I need the rate constant $$k$$. From literature I observed that for a very closely simulated experiment I obtained the numerical value of $$k$$ but the unit of $$k$$ was given in $$\frac1{\mathrm s}\cdot\frac1{\mathrm{kPa}}$$.

I am only familiar with $$k$$ in $$\frac1{\mathrm s}$$. from which I can easily estimate the $$t_{1/2}$$.

Can somebody please explain how I convert the $$\frac1{\mathrm s}\cdot\frac1{\mathrm{kPa}}$$ unit to $$\frac1{\mathrm s}$$.

Additional informaton: The laboratory experiment was conducted at approx $$85\ \mathrm{kpa}$$ and approx $$100\ \mathrm{kpa}$$ is $$1\ \mathrm{atm}$$.

## closed as off-topic by Mithoron, A.K., Todd Minehardt, Tyberius, a-cyclohexane-moleculeNov 12 '18 at 23:04

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If $$X$$ is a quantity proportional to the concentration then for a first order reaction $$X=X_0e^{-kt}$$ where $$X_0$$ is the amount at time zero. Hence $$\ln(X/X_0) = -kt$$ from which you can see that the units of $$k$$ are 1/time.