Calculate Volume of Ammonia for 1 Tonne Ammonium Nitrate

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Discussion Overview

The discussion revolves around calculating the volume of ammonia required to produce one tonne of ammonium nitrate, focusing on the conversion between mass and volume at standard temperature and pressure (STP). The scope includes mathematical reasoning and technical explanations related to gas laws and molecular weights.

Discussion Character

  • Mathematical reasoning
  • Technical explanation

Main Points Raised

  • One participant requests assistance in calculating the volume of ammonia needed for one tonne of ammonium nitrate, indicating familiarity with mass calculations but difficulty with volume.
  • Another participant provides a formula related to the volume of an ideal gas at STP, noting that one mole occupies 22.4 litres and converting that to cubic centimetres.
  • A participant expresses uncertainty about the calculations and requests further assistance.
  • A more detailed calculation is presented, involving the mass of ammonia, its molecular weight, and the conversion of moles to volume, resulting in a formula for the volume in cubic metres.
  • One participant acknowledges the clarity gained from the explanation and expresses gratitude for the assistance received.

Areas of Agreement / Disagreement

The discussion does not present a consensus, as participants are working through calculations and clarifications without resolving all uncertainties regarding the arithmetic and conversions involved.

Contextual Notes

Participants have not explicitly stated all assumptions, such as the molecular weight of ammonia or the specific conditions considered for STP, which may affect the calculations.

newkidintownu
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Please can someone help me with the following question:

Calculate the volume of ammonia required, in cubic metres at stp, to produce one tonne of ammonium nitrate.

I know how to work out the mass of ammonia in one tonne of ammonium nitrate but am struggling with volumes...help needed!
 
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At STP, one mole of an ideal gas occupies 22.4 Litres. 1 Litre=1000 cm^3. Can you carry on from there?
 
I'm still a bit unsure...can you help further please
 
Let m be the mass in grammes of NH3 in one tonne of ammonium nitrate..
Let M be the molecular weight of NH3.
The number of moles of NH3 is m/M and the volume of NH3 is
22.4 (Litre/mole) . (m/M) mole = 22 400 cm3 (m/M)
=22400(m/M) (cm (1 metre/(100 cm))3
=0.0224 (m/M) metre3

Please check my arithmetic!
 
Thanks...I was having trouble with converting volume to mass but now that you have explained this it is now clear. Your help with this is much appreciated...thanks again
 

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