Calculate Volume of Ammonia for 1 Tonne Ammonium Nitrate

AI Thread Summary
To calculate the volume of ammonia required to produce one tonne of ammonium nitrate, the discussion emphasizes using the ideal gas law, where one mole of gas occupies 22.4 liters at standard temperature and pressure (STP). The mass of ammonia (NH3) in one tonne of ammonium nitrate is denoted as 'm', and its molecular weight as 'M'. The number of moles of NH3 is calculated as m/M, leading to a volume formula of 0.0224(m/M) cubic meters. The arithmetic checks out, confirming the conversion from mass to volume is now understood. The discussion concludes with appreciation for the clarification provided.
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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