(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Consider the following two well-mixed, isothermal batch reactors for the elementary and irreversible decomposition of A to B, A[tex]\stackrel{k}{\rightarrow}[/tex]2B

reactor1: The reactor volume is constant (Pressure is variable)

reactor2: The reactor pressure is constant (Volume is variable)

Both reactors are charged with pure A at 1.0 atm and k=0.35min[tex]^{-1}[/tex]

a) what is the fractional decrease in theconcentrationof A in reactors 1 and 2 after 5 minutes?

b)what is thetotal molar conversionof A in reactors 1 and 2 after 5 minutes?

2. Relevant equations

Since reaction is first order: r[tex]_{A}[/tex]=-kC[tex]_{A}[/tex]

3. The attempt at a solution

Ok, so part a for a constant volume reactor was simple, since the ODE was easy and it turned out that [tex]\frac{C_{A}}{C_{A0}}[/tex]=exp(-kt)

but variable volume has me stumped. I figured out that -k=[tex]\frac{dC_{A}}{dt}[/tex]+([tex]\frac{1}{V}[/tex])([tex]\frac{dV}{dt}[/tex] but i don't know where to go from here.

I don't even know where to start for part b, please help...

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# Homework Help: Constant Volume and Constant Pressure Batch Reactor

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