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Learning A flexible container at an initial volume of 3.10 L contains 3.51 mol of gas. More gas is then added to the container until it reaches a final volume of 17.1 L. Assuming the pressure and temperature of the gas remain constant, calculate the number of moles of gas added to the container.

Answer

The number of moles of gas added to the container can be calculated using the ideal gas law. The ideal gas law states that 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. We can use this equation to calculate the number of moles of gas that were added to the container.

Initial State

First, we need to calculate the number of moles of gas in the container at the initial volume of 3.10 L. Plugging in the values for P, V, R, and T into the ideal gas law, we can calculate the number of moles of gas to be 3.51 mol.

Final State

Next, we need to calculate the number of moles of gas in the container at the final volume of 17.1 L. Plugging in the values for P, V, R, and T into the ideal gas law, we can calculate the number of moles of gas to be 24.84 mol.

Calculation

Finally, we can subtract the initial number of moles of gas from the final number of moles of gas to calculate the number of moles of gas added to the container.

Therefore, the number of moles of gas added to the container is 24.84 – 3.51 = 21.33 mol.

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