Complete the following problems using the Combined Gas Law. Include the appropriate formula, show your work and provide an answer with the correct units and significant digits.
1. A steel cylinder with a fixed volume contains a gas at a pressure of 652 kPa and a temperature of 25°C. If the cylinder is heated to 150°C, use the combined gas law to calculate the new pressure. (if the volume is constant V1 and V2 are the same number).
2. A balloonist fills a balloon with 25 000 L of helium gas. The temperature at ground level is 25.0°C and the barometric pressure is 1.000 atm or 101.325 kPa. At 3500 m, the temperature has dropped to 5.0°C and the barometric pressure is 0.900 atm or 91.2 kpa. What is the volume of the balloon’s gasbag at this altitude?
3. The gases from a smokestack at an industrial plant emerge at a temperature of 250.0°C and a pressure of 110 kPa. If 1.00 L of this gas is allowed to cool to 18°C and adjust to 100.5 kPa, what will be the new volume?
4. Hot exhaust gases are often used in a chemical plant to heat chemical reactions before the gases are discharged to the atmosphere. If 10.0 L of gas at 300°C and 3.00 atm expand to 125 L at 1.00 atm during the heat exchange process, what is the temperature of the gas that is released to the atmosphere?
5. A canister containing air has a volume of 85 cm 3 and a pressure of 1.45 atm when the temperature is 310 K. What is the pressure when the volume is increased to 180 cm 3 and the temperature is reduced to 280 K?
6. A helium balloon at 28ºC has a volume of 1.8 L and a pressure of 102 kPa. What is the volume of the balloon when is rises into the atmosphere where the pressure is 85 kPa and the temperature is 4ºC?
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