If the inventory of the reactor of about 20,000kg

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SUMMARY

The discussion centers around the calculations related to the oxidation of zirconium (Zr) in a reactor containing approximately 20,000 kg of Zr, producing hydrogen (H2) and zirconium dioxide (ZrO2). Key calculations include determining the heat generated (13,500 MJ), the mass of hydrogen produced (43.86 kmol), and the resulting pressure increase (1.015 bar) in a 90,000 m³ volume at 1 bar initial pressure. The participants emphasize the importance of stoichiometric relationships and proper unit conversions in these calculations.

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  • #31


20,000 of what? 91.2 of what?

20,000kg and 91.2 kg/kmol
 
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  • #32


matt222 said:
20,000kg and 91.2 kg/kmol

If so - that's OK. Note that you wrote a line earlier "1 mole of Zr=91.2g/mol", so it wasn't clear what you use.
 
  • #33


what about part 3 of the question is ok?

for part 4 I got the idea now:

PV=nRT

P=nRT/V=(43.86 kmoles x 8.31x10^3 (m^3pa/kmol k) x 373K)/90,000m^3=1511pa

so the pressure increased is going to be 1.015bar!

what do you think?
 
  • #34


Change in pressure is a function of change of number of moles of gas.

What gases are present? How does their amount change?
 
  • #35


the gases are hydrogen and air and the question asked me to treat it as ideal gases!

ΔPV=ΔnRT, but how could we get the change of n since no information given for the air!

their amount will be changed due to pressure increase or decreased
 
  • #36


Judging from the question there is no air involved, just water steam and hydrogen. But even if there is air present - does amount of air change?
 
  • #37


no it doesn't change!

so in this case I should measure the change on n between water steam and hydrogen gas right!
 
  • #38


Yes.
 
  • #39


we had already measured n for the hydrugen , now as before should I do the balance equation and find n for 2H20, after that add them together to have total n,
 
  • #40


matt222 said:
we had already measured n for the hydrugen , now as before should I do the balance equation and find n for 2H20

Yes - and no. Yes, that's the correct approach. No, you don't have to do it. Just looking at the reaction equation coefficients you should see that water/hydrogen ratio is 1 - number of moles of hydrogen produced equals number of moles of water consumed. As you have already calculated number of moles of hydrogen, you don't have to calculate number of moles of water - it will be the same number.

after that add them together to have total n,

Beware about adding - water is consumed, so it is removed from the reactor.
 
  • #41


so how to get the change of n now?
 
  • #42


I have spoonfeed you for almost three pages, my hand hurts. It is the highest time you start to think on your own. Especially taking into account fact that what you are asking about now has nothing to do with chemistry, common reasoning is enough.
 
  • #43


of course I appreciate your help but you will be shocked if I tell you that I am a computer science background and moved to this field just recently that's why I need a time
 

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