Question

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.

Answer 1

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,

`V\propto n`

or,

`(V_1)/(V_2)=(n_1)/(n_2)`

where,

`V_1` = initial volume of gas = 8.15 L

`V_2` = final volume of gas = 17.9 L

`n_1` = initial number of moles of gas = 9.51 mole

`n_2` = final number of moles of gas = ?

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

`(8.15L)/(17.9L)=(9.51mole)/(n_2)`

`n_2=20.89mole`

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