a flexible container at initial volume of 6.13 L contains 9.51 mol of gas. More gas is then added to the container until it reaches a final volume 13.9 L. assuming the pressure and temperature of the gas remains constant,calculate the amount of number of moles of gas added to the container
To find the number of moles of gas added to the container, we can use the equation for the ideal gas law: PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the ideal gas constant, and T is the temperature.
Since the pressure and temperature remain constant, we can rewrite the equation as: V₁/n₁ = V₂/n₂, where V₁ is the initial volume, n₁ is the initial number of moles, V₂ is the final volume, and n₂ is the final number of moles.
Plugging in the values we know: V₁ = 6.13 L, n₁ = 9.51 mol, and V₂ = 13.9 L:
6.13 L / 9.51 mol = 13.9 L / n₂
Solving for n₂:
n₂ = (9.51 mol * 13.9 L) / 6.13 L
n₂ = 21.93315 mol
Therefore, the amount of moles of gas added to the container is 21.93315 mol.