Problems #1 - 15

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**Problem #1:** A gas occupies 12.3 liters at a pressure of 40.0 mmHg. What is the volume when the pressure is increased to 60.0 mmHg?

(40.0 mmHg) (12.3 liters) = (60.0 mmHg) (x)x = 8.20 L

Note three significant figures.

**Problem #2:** If a gas at 25.0 °C occupies 3.60 liters at a pressure of 1.00 atm, what will be its volume at a pressure of 2.50 atm?

(1.00 atm) ( 3.60 liters) = (2.50 atm) (x)x = 1.44 L

**Problem #3:** To what pressure must a gas be compressed in order to get into a 3.00 cubic foot tank the entire weight of a gas that occupies 400.0 cu. ft. at standard pressure?

(400.0 cu. ft) (1.00 atm) = (x) (3.00 cubic foot)x = 133 atm

It doesn't matter what the volume units are. It just matters that they be the same on each side.

**Problem #4:** A gas occupies 1.56 L at 1.00 atm. What will be the volume of this gas if the pressure becomes 3.00 atm?

(1.56 L) (1.00 atm) = (3.00 atm) (x)0.520 L

**Problem #5:** A gas occupies 11.2 liters at 0.860 atm. What is the pressure if the volume becomes 15.0 L?

(11.2 liters) (0.860 atm) = (x) (15.0 L)x = 0.642 atm

**Problem #6:** 500.0 mL of a gas is collected at 745.0 mmHg. What will the volume be at standard pressure?

(745.0 mmHg) (500.0 mL) = (760.0 mmHg) (x)x = 490.1 mL

**Problem #7:** Convert 350.0 mL at 740.0 mmHg to its new volume at standard pressure.

(740.0 mmHg) (350.0 mL) = (760.0 mmHg) (x)

**Problem #8:** Convert 338 L at 63.0 atm to its new volume at standard pressure.

(63.0 atm) (338 L) = (1.00 atm) (x)

**Problem #9:** Convert 273.15 mL at 166.0 kPa to its new volume at standard pressure.

(166.0 kPa) (273.15 mL) = (101.325 kPa) (x)

**Problem #10:** Convert 77.0 L at 18.0 mmHg to its new volume at standard pressure.

(18.0 mmHg) (77.0 L) = (760.0 mmHg) (x)

**Problem #11:** When the pressure on a gas increases, will the volume increase or decrease?

Volume will decrease.

**Problem #12:** If the pressure on a gas is decreased by one-half, how large will the volume change be?

It will double in size.

**Problem #13:** A gas occupies 4.31 liters at a pressure of 0.755 atm. Determine the volume if the pressure is increased to 1.25 atm.

(0.755 atm) (4.31 liters) = (1.25 atm) (x)

**Problem #14:** 600.0 mL of a gas is at a pressure of 8.00 atm. What is the volume of the gas at 2.00 atm?

(8.00 atm) (600.0 mL) = (2.00 atm) (x)

**Problem #15:** 400.0 mL of a gas are under a pressure of 800.0 torr. What would the volume of the gas be at a pressure of 1000.0 torr?

(800.0 torr) (400.0 mL) = (1000.0 torr) (x)

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