### Charles' LawExamples and problems only

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)πr3]

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 CO2 is produced at a temperature of 1.00 x 103 °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 V2.

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.