Question

A cylinder with a movable piston contains 0.541 mol of gas and has a volume of 277 mL. What will its volume be if an additional 0.354 mol of gas is added to the cylinder? (Assume constant temperature and pressure.)

A) 187 mL
B) 214 mL
C) 297 mL
D) 324 mL

Answer 1

The final volume of the cylinder when additional gas is added, you can use the ideal gas law equation PV = nRT. By solving for the final volume using the initial volume and number of moles, you can determine that the final volume will be 458 mL.

Step-by-step explanation:

To find the final volume of the cylinder, we can use the concept of 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 gas constant, and T is the temperature.

In this case, the initial volume V1 is 277 mL and the initial number of moles n1 is 0.541 mol. The final number of moles n2 is 0.541 mol + 0.354 mol = 0.895 mol.

Using the ideal gas law equation and assuming constant temperature and pressure, we can set up the equation: (0.541 mol) / (277 mL) = (0.895 mol) / (V2 mL).

Solving for V2, we find that V2 = 277 mL * (0.895 mol) / (0.541 mol) = 458 mL.

Therefore, the volume of the cylinder will be 458 mL if an additional 0.354 mol of gas is added.