Examples and problems only

Problems 1-10 | Ten examples |

Problems 11-25 | Return to KMT & Gas Laws Menu |

**Example #1:** A gas is collected and found to fill 2.85 L at 25.0 °C. What will be its volume at standard temperature?

**Example #2:** 4.40 L of a gas is collected at 50.0 °C. What will be its volume upon cooling to 25.0 °C?

**Example #3:** 5.00 L of a gas is collected at 100 K and then allowed to expand to 20.0 L. What must the new temperature be in order to maintain the same pressure (as required by Charles' Law)?

**Example #4:** A 2.5 liter sample of gas is at STP. When the temperature is raised to 273 °C and the pressure remains constant, what is the new volume?

**Problem #5:** The temperature of a 4.00 L sample of gas is changed from 10.0 °C to 20.0 °C. What will the volume of this gas be at the new temperature if the pressure is held constant?

**Example #6:** A 5.0 L container of gas has a temperature change such that the final temperature is 4 times more than the initial. What is the size of the container after the temperature change?

**Example #7:** A 2.50-L volume of hydrogen measured at -100 degrees Celsius is warmed to 100 degrees Celsius. Calculate the volume of the gas at the higher temperature, assuming no change in pressure.

**Example #8:** If the temperature of a fixed amount of a gas is doubled at constant pressure, what happens to the volume?

**Example #9:** Under constant pressure, at what temperature (in K) will a balloon double in size when originally at 102.4 K

**Example #10:** Under constant pressure, at what temperature (in °C) will a balloon double in size when originally at 102.4 °C.

**Bonus Example:** An ideal gas at 7.00 °C is in a spherical flexible container having a radius of 1.18 cm. The gas is heated at constant pressure to 88.0 °C. Determine the radius of the spherical container after the gas is heated. [Volume of a sphere = (4/3)πr^{3}]

**Problem #1:** Calculate the decrease in temperature when 2.00 L at 20.0 °C is compressed to 1.00 L.

**Problem #2:** 600.0 mL of air is at 20.0 °C. What is the volume at 60.0 °C?

**Problem #3:** A gas occupies 900.0 mL at a temperature of 27.0 °C. What is the volume at 132.0 °C?

**Problem #4:** What change in volume results if 60.0 mL of gas is cooled from 33.0 °C to 5.00 °C?

**Problem #5:** Given 300.0 mL of a gas at 17.0 °C. What is its volume at 10.0 °C?

**Problem #6:** A gas occupies 1.00 L at standard temperature. What is the volume at 333.0 °C?

**Problem #7:** At 27.00 °C a gas has a volume of 6.00 L. What will the volume be at 150.0 °C?

**Problem #8:** At 225.0 °C a gas has a volume of 400.0 mL. What is the volume of this gas at 127.0 °C?

**Problem #9:** At 210.0 °C a gas has a volume of 8.00 L. What is the volume of this gas at -23.0 °C?

**Problem #10:** When the volume of a gas is changed from ___ mL to 852 mL, the temperature will change from 315 °C to 452 °C. What is the starting volume?

**Bonus Problem:** An open "empty" 2 L plastic pop container, which has an actual inside volume of 2.05 L, is removed from a refrigerator at 5 °C and allowed to warm up to 21 °C. What volume of air measured at 21 °C, will leave the container as it warms?

**Problem #11:** Carbon dioxide is usually formed when gasoline is burned. If 30.0 L of CO_{2} is produced at a temperature of 1.00 x 10^{3} °C and allowed to reach room temperature (25.0 °C) without any pressure changes, what is the new volume of the carbon dioxide?

**Problem #12:** A 600.0 mL sample of nitrogen is warmed from 77.0 °C to 86.0 °C. Find its new volume if the pressure remains constant.

**Problem #13:** What volume change occurs to a 400.0 mL gas sample as the temperature increases from 22.0 °C to 30.0 °C?

**Problem #14:** A gas syringe contains 56.05 milliliters of a gas at 315.1 K. Determine the volume that the gas will occupy if the temperature is increased to 380.5 K

**Problem #15:** A gas syringe contains 42.3 milliliters of a gas at 98.15 °C. Determine the volume that the gas will occupy if the temperature is decreased to -18.50 °C.

**Problem #16:** When the temperature of a gas decreases, does the volume increase or decrease?

**Problem #17:** If the Kelvin temperature of a gas is doubled, the volume of the gas will increase by ____.

**Problem #18:** Solve the Charles' Law equation for V_{2}.

**Problem #19:** Charles' Law deals with what quantities?

a. pressure/temperature

b. pressure/volume

c. volume/temperature

d. volume/temperature/pressure

**Problem #20:** If 540.0 mL of nitrogen at 0.00 °C is heated to a temperature of 100.0 °C what will be the new volume of the gas?

**Problem #21:** A balloon has a volume of 2500.0 mL on a day when the temperature is 30.0 °C. If the temperature at night falls to 10.0 °C, what will be the volume of the balloon if the pressure remains constant?

**Problem #22:** When 50.0 liters of oxygen at 20.0 °C is compressed to 5.00 liters, what must the new temperature be to maintain constant pressure?

**Problem #23:** If 15.0 liters of neon at 25.0 °C is allowed to expand to 45.0 liters, what must the new temperature be to maintain constant pressure?

**Problem #24:**3.50 liters of a gas at 727.0 K will occupy how many liters at 153.0 K?

**Problem #25:** If your Volume-Temperature constant is 0.432 mL/K, what would the volume of your sample be at 35.0 °C

**Bonus Problem:** In an air-conditioned room at 19.0 #&176;C, a spherical balloon had the diameter of 50.0 cm. When taken outside on a hot summer day, the balloon expanded to 51.0 cm in diameter. What was the temperature outside in degrees Celsius? Assume that the balloon is a perfect sphere and that the pressure and number of moles of air molecules remains the same.

Problems 1-10 | Ten examples |

Problems 11-25 | Return to KMT & Gas Laws Menu |