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Taking into account the ideal gas law, the mass of chlorine present is 47.9284 grams.
An ideal gas is a theoretical gas that is considered to be composed of randomly moving point particles that do not interact with each other. Gases in general are ideal when they are at high temperatures and low pressures.
The pressure, P, the temperature, T, and the volume, V, of an ideal gas, are related by a simple formula called the ideal gas law:
P×V = n×R×T
where
In this case, you know:
Replacing in the ideal gas law:
14.2 atm× 1 L = n× 0.082 [tex]\frac{atmL}{molK}[/tex]× 256 K
Solving:
(14.2 atm× 1 L)÷ (0.082 [tex]\frac{atmL}{molK}[/tex]× 256 K)= n
0.676 moles= n
Being the molar mass of chlorine Cl₂ 70.9 g/mole, the mass of the compound can be calculated as:
0.676 moles× 70.9 g/mole= 47.9284 grams.
Finally, the mass of chlorine present is 47.9284 grams.
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