A cylinder, with a piston pressing down with a constant pressure, is filled with

Question

A cylinder, with a piston pressing down with a constant pressure, is filled with 1.90 moles of a gas (n1), and its volume is 50.0 L (V1). If 0.800 mole of gas leak out, and the pressure and temperature remain the same, what is the final volume of the gas inside the cylinder?

A sample of gas in a cylinder as in the example in Part A has an initial volume of 48.0 L , and you have determined that it contains 1.30 moles of gas. The next day you notice that some of the gas has leaked out. The pressure and temperature remain the same, but the volume has changed to 12.0 L . How many moles of gas (n2) remain in the cylinder?

Explanation / Answer

1)
Given:
Vi = 50.0 L
ni = 1.90 mol
nf = 1.90 0.800 = 1.10 mol

use:
Vi/ni = Vf/nf
50.0 L / 1.90 mol = Vf / 1.10 mol
Vf = 28.9 L
Answer: 28.9 L

2)
Given:
ni = 1.30 mol
Vi = 48.0 L
Vf = 12.0 L

use:
Vi/ni = Vf/nf
48.0 L / 1.30 mol = 12.0 L / nf
nf = 0.325 mol
Answer: 0.325 mol

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