Question

1. A dramatic classroom demonstration involves cooling a balloon from room temperature (299 K ) to liquid nitrogen temperature (77 K).

Part A

If the initial volume of the balloon is 3.5 L , what will its volume be after it cools? (Assume constant pressure.) Express your answer using two significant figures.

2.

Part A

A cylinder, with a piston pressing down with a constant pressure, is filled with 2.00 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 62.0 L , and you have determined that it contains 1.00 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 15.5 L . How many moles of gas (n2) remain in the cylinder?

Express your answer with the appropriate units.

3.

A cylinder with a moveable piston contains 0.79 mol of gas and has a volume of 333 mL .

Part A What will its volume be if an additional 0.24 mol of gas is added to the cylinder? Express your answer using two significant figures.

Answer 1

1. A dramatic classroom demonstration involves cooling a balloon from room temperature (299 K ) to liquid nitrogen temperature (77 K).

Part A If the initial volume of the balloon is 3.5 L , what will its volume be after it cools? (Assume constant pressure.) Express your answer using two significant figures.

V1/T1 = V2/T2

3.5/299 = V2/77

V2 = 3.5/299*77

V2 = 0.901337 Liters

A cylinder, with a piston pressing down with a constant pressure, is filled with 2.00 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?

V1/n1 = V2/n2

50/2 = V2/(2-0.5)

V2 = 50/2*(2-0.5) = 37.5 L

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