# Calculate Volume of Ammonia for 1 Tonne Ammonium Nitrate

• newkidintownu
In summary, the conversation is about calculating the volume of ammonia required at STP to produce one tonne of ammonium nitrate. The formula for calculating the volume of ammonia is given and the person asking for help is struggling with converting volume to mass. The other person explains the conversion and the first person expresses their gratitude for the help.
newkidintownu
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!

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

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

## 1. How do you calculate the volume of ammonia for 1 tonne of ammonium nitrate?

To calculate the volume of ammonia for 1 tonne of ammonium nitrate, you will need to use the molar mass of ammonium nitrate and the ideal gas law equation. First, you will need to convert 1 tonne of ammonium nitrate to moles by dividing by the molar mass. Next, plug in the number of moles into the ideal gas law equation (PV=nRT) along with the temperature and pressure conditions. Finally, solve for volume (V) to get the volume of ammonia in cubic meters.

## 2. What is the molar mass of ammonium nitrate?

The molar mass of ammonium nitrate (NH4NO3) is 80.043 grams per mole. This can be calculated by adding the atomic masses of each element present in the compound (14.0067 + 1.00794 + 14.0067 + 15.9994 + 3(14.0067)).

## 3. What are the units for volume in the ideal gas law equation?

The units for volume (V) in the ideal gas law equation (PV=nRT) are typically in liters (L) or cubic meters (m3). However, the units can be adjusted based on the given conditions (e.g. if the pressure is given in kilopascals, the volume would be in cubic meters).

## 4. How does temperature and pressure affect the volume of ammonia for 1 tonne of ammonium nitrate?

According to the ideal gas law equation (PV=nRT), temperature and pressure have an inverse relationship with volume. This means that as temperature or pressure increases, volume decreases and vice versa. Therefore, if the temperature or pressure conditions are changed, the volume of ammonia for 1 tonne of ammonium nitrate will also change.

## 5. Can the ideal gas law equation be used to calculate the volume of ammonia for 1 tonne of ammonium nitrate in all conditions?

No, the ideal gas law equation (PV=nRT) is only applicable for ideal gases under ideal conditions. In order for the ideal gas law to be accurate, the gas particles must have negligible volume and the gas molecules must not interact with each other. In real-world situations, these ideal conditions are rarely met, so the ideal gas law may not accurately predict the volume of ammonia for 1 tonne of ammonium nitrate.

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