1) A volume of helium occupies 11.0 L at a pressure of 98.0 kPa. What is the new volume if the pressure drops to 86.2 kPa? 2) Explain why a steel boat floats in water but a steel block does not. 3) A car weighing 15,000 N is on a hydraulic lift platform measuring 10 m2. What is the area of the smaller piston if a force of 1,100 N is used to lift the car? 4) To lift an object weighting 21,000 N, how much force is needed on a piston with an area of 0.060 m2 if the platform being lifted has an area of 3.0 m2? 5) If a 5 L balloon at 25° C were gently heated to 30° C, what new volume would the balloon have? SNOW DAY
Solve using the combined gas law. 1) If I initially have a gas at a pressure of 12 atm, a volume of 23 liters, and a temperature of 200 K then raise the pressure to 14 atm and increase the temperature to 300 K, what is the new volume of the gas? 2) A gas takes up a volume of 17 liters, has a pressure of 2.3 atm, and a temperature of 299 K. If the temperature is raised to 350 K and the pressure is lowered to 1.5 atm, what is the new volume of the gas? 3) A gas has initial conditions of 28 liters, 45° C, and an unknown volume. Its volume is increased to 34 liters, the temperature is decreased to 35° C, and the final pressure is 2.0 atm. Find the initial volume. 4) A sample of argon has a volume of 5.0 dm3 and the pressure is 0.92 atm. If the final temperature is 30° C, the final volume is 5.7 L, and the final pressure is 800. mm Hg, what was the initial temperature of the argon? 5) A sample of nitrogen gas occupies a volume of 2.00 L at 756 mm Hg and 0.00° C. The volume increases by 2.00 L and the temperature decreases to 137 K. What is the final pressure exerted on the gas?