Answer: The moles of gas that remain in the cylinder are 0.45
Explanation:
According to the Avogadro's law, the volume of gas is directly proportional to the number of moles of gas at same pressure and temperature. That means,
[tex]V\propto n[/tex]
or [tex]\frac{V_1}{n_1}=\frac{V_2}{n_2}[/tex]
where,
[tex]V_1[/tex] = initial volume of gas = 56.0 L
[tex]V_2[/tex] = final volume of gas = 14.0 L
[tex]n_1[/tex] = initial moles of gas = 1.80
[tex]n_2[/tex] = final moles of gas = ?
Putting the values , we get:
[tex]\frac{56.0}{1.80}=\frac{14.0}{n_2}[/tex]
[tex]n_2=0.45[/tex]
The moles of gas that remain in the cylinder are 0.45
