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

ID: 971253 • Letter: A

Question

A. A cylinder, with a piston pressing down with a constant pressure, is filled with 2.10 moles of a gas (n1), and its volume is 41.0 L (V1). If 0.300 mole of gas leak out, and the pressure and temperature remain the same, what is the final volume of the gas inside the cylinder?

B. A sample of gas in a cylinder as in the example in Part A has an initial volume of 40.0 L , and you have determined that it contains 1.60 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 10.0 L . How many moles of gas (n2) remain in the cylinder?

Explanation / Answer

A. V1 / n1 = V2 / n2

V2 = V1 * n2 / n1

      = 41 * 0.3 / 2.1

    = 5.86 L

B. V1 / n1 = V2 / n2

n2 = V2 * n1 / V1

      = 10 * 1.6 / 40

    = 0.4 moles

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