Question

1. scuba diver 40 ft below the ocean surface inhales 45.0 mL of compressed air from a scuba tank at a pressure of 2.90 atm and a temperature of 8 ∘ C . What is the final pressure of the air, in atmospheres, in the lungs when the gas expands to 145.0 mL at a body temperature of 37 ∘ C , and the amount of gas does not change?

2. Consider 4.70 L of a gas at 365 mmHg and 20. ∘C . If the
container is compressed to 3.00 L and the temperature is increased
to 31 ∘C , what is the new pressure, *P*2 , inside the
container? Assume no change in the amount of gas inside the
cylinder.

3. A cylinder, with a piston pressing down with a constant
pressure, is filled with 1.90 moles of a gas (*n*1 ), and
its volume is 50.0 L (*V*1 ). If 0.400 mole of gas leak out,
and the pressure and temperature remain the same, what is the final
volume of the gas inside the cylinder?

4.A sample of gas in a cylinder as in the example in Part A has
an initial volume of 52.0 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 13.0 L . How many moles of gas
(*n*2 ) remain in the cylinder?

Answer #1

**1)**

**Given:**

**Pi = 2.90 atm**

**Vi = 45.0 mL**

**Vf = 145.0 mL**

**Ti = 8.0 oC**

**= (8.0+273) K**

**= 281 K**

**Tf = 37.0 oC**

**= (37.0+273) K**

**= 310 K**

**use:**

**(Pi*Vi)/(Ti) = (Pf*Vf)/(Tf)**

**(2.9 atm*45 mL)/(281.0 K) = (Pf*145.0 mL)/(310
K)**

**Pf = 0.993 atm**

**Answer: 0.993 atm**

**2)**

**Given:**

**Pi = 365 mmHg**

**Vi = 4.70 L**

**Vf = 3.00 L**

**Ti = 20.0 oC**

**= (20.0+273) K**

**= 293 K**

**Tf = 31.0 oC**

**= (31.0+273) K**

**= 304 K**

**use:**

**(Pi*Vi)/(Ti) = (Pf*Vf)/(Tf)**

**(365.0 mmHg*4.7 L)/(293.0 K) = (Pf*3.0 L)/(304.0
K)**

**Pf = 593 mmHg**

**Answer: 593 mmHg**

1.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 0.400 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 52.0 L , and you have...

Part A
Consider 4.30 L of a gas at 365 mmHg and 20. ∘C . If the
container is compressed to 2.70 L and the temperature is increased
to 30. ∘C, what is the new pressure, P2, inside the
container? Assume no change in the amount of gas inside the
cylinder.
Express your answer with the appropriate units.
Part B
A cylinder, with a piston pressing down with a constant
pressure, is filled with 2.00 moles of a gas (n1),...

Consider 4.30 L of a gas at 365 mmHg and 20. ∘C . If the
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Assume no change in the amount of gas inside the cylinder.
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