A cylinder with a moveable piston contains 0.459 mol of gas and has a volume of 173 mL. What will its volume be if an additional 0.266 mol of gas is added to the cylinder? (Assume constant temperature and pressure.)
Express your answer in milliliters to three significant figures.
Using the ideal gas law equation PV = nRT, we can rearrange it to solve for the final volume:
V1 = (n1 * V) / n
V1 = ((0.459 mol + 0.266 mol) * 173 mL) / 0.459 mol
V1 = (0.725 mol * 173 mL) / 0.459 mol
V1 = 273.775 mL
Therefore, when an additional 0.266 mol of gas is added to the cylinder, the volume will be 273.775 mL to three significant figures.