A flexible container at an initial volume of 8.15 L contains 9.51 mol of gas. More gas is then added to the container until it reaches a final volume of 17.9 L. Assuming the pressure and temperature of the gas remain constant, calculate the number of moles of gas added to the container.

Respuesta :

Answer : The number of moles of gas added to the container will be, 20.89 mole

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}{V_2}=\frac{n_1}{n_2}[/tex]

where,

[tex]V_1[/tex] = initial volume of gas  = 8.15 L

[tex]V_2[/tex] = final volume of gas  = 17.9 L

[tex]n_1[/tex] = initial number of moles of gas  = 9.51 mole

[tex]n_2[/tex] = final number of moles of gas  = ?

Now we put all the given values in this formula, we get  the final moles of gas.

[tex]\frac{8.15L}{17.9L}=\frac{9.51mole}{n_2}[/tex]

[tex]n_2=20.89mole[/tex]

Therefore, the number of moles of gas added to the container will be, 20.89 mole