Considering the definition of STP conditions, the mass of nitrogen trioxide (NO₂) that occupies 156 L at STP is 320.16 grams.
The STP conditions refer to the standard temperature and pressure. Pressure values at 1 atmosphere and temperature at 0 ° C are used and are reference values for gases. And in these conditions 1 mole of any gas occupies an approximate volume of 22.4 liters.
The molar mass of substance is a property defined as its mass per unit quantity of substance, in other words, molar mass is the amount of mass that a substance contains in one mole.
In this case, you can apply the following rule of three: if by definition of STP conditions 22.4 liters are occupied by 1 mole of nitrogen trioxide, 156 L are occupied by how many moles of nitrogen trioxide?
[tex]amount of moles=\frac{156 L x 1 mole}{22.4 L}[/tex]
amount of moles= 6.96 moles
The molar mass of nitrogen trioxide is 46 g/mole. So, you can apply the following rule of three: If by definition of molar mass 1 mole of the compound contains 46grams, 6.96 moles of the compound contains how much mass?
[tex]mass=\frac{6.96 moles x 46 grams}{1 mole}[/tex]
mass= 320.16 grams
Finally, the mass of nitrogen trioxide (NO₂) that occupies 156 L at STP is 320.16 grams.
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