Answer : The number of moles of gas are in container 2 are 12.008 moles.
Explanation :
According to the Avogadro's Law, the volume of the gas is directly proportional to the number of moles of the gas at constant pressure and temperature.
[tex]V\propto n[/tex]
or,
[tex]\frac{V_1}{V_2}=\frac{n_1}{n_2}[/tex]
where,
[tex]V_1[/tex] = initial volume of gas in container 1 = 1.30 L
[tex]V_2[/tex] = final volume of gas in container 1 = 2.33 L
[tex]n_1[/tex] = initial moles of gas in container 2 = 6.70 mole
[tex]n_2[/tex] = final moles of gas in container 2 = ?
Now put all the given values in the above formula, we get the final moles of the gas.
[tex]\frac{1.30L}{2.33L}=\frac{6.70mole}{n_2}[/tex]
[tex]n_2=12.008mole[/tex]
Therefore, the number of moles of gas are in container 2 are 12.008 moles.