Part A A cylinder, with a piston pressing down with a constant pressure, is fill
ID: 537518 • Letter: P
Question
Part A A cylinder, with a piston pressing down with a constant pressure, is filled with 2.20 moles of a gas (n1), and its volume is 50.0 L (V1). If 0.500 mole of gas leak out, and the pressure and temperature remain the same, what is the final volume of the gas inside the cylinder? Express your answer with the appropriate units. Part B A sample of gas in a cylinder as in the example in Part A has an initial volume of 60.0 L , and you have determined that it contains 1.10 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 15.0 L . How many moles of gas (n2) remain in the cylinder? Express your answer with the appropriate units.
Explanation / Answer
A)
n1 = 2.2 mol
V1 = 50 L
n2 = 2.2-0.5 = 1. 7 mol left
V2 = ?
apply avogrados law
V1/n1 = V2/n2
50 / 2.2 = V2/1.7
V2 = 1.7/2.2*50 = 38.63 L
b)
V1 = 60 L
n1 = 1.1
V2 = 15 L
n2 = ?
calculate via avogrados law
V1/n1 = V2/n2
n2 = V2/V1*n1 = 15/60*1.1 = 0.275 mol
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