A) A sample of gas in a cylinder as in the example in Part A has an initial volu

Question

A) A sample of gas in a cylinder as in the example in Part A has an initial volume of 50.0 L , and you have determined that it contains 1.90 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 12.5 L . How many moles of gas (n2) remain in the cylinder?

Express your answer with the appropriate units.

B)

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 44.0 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?

Express your answer with the appropriate units.

Explanation / Answer

A) since pressure and temperature remainied constant

V1/n1= V2/n2, 50/1.9= 12.5/n2 ( where n1 and V1 are conditions before leakinh and n2 and V2 are conditions after leaking)

n2= 12.5*1.9/50=0.475 moles

So 0.475 moles of gas remained.

B) similar analysis as above , n2= Initial moles- moles leaked out = 1.9-0.8=1.1

n1/V1= n2/V2 and V2= n2*V1/n1= 1.1*44/1.9=25.473 L

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