1A: A sample of gas in a balloon has an initial temperature of 35 °C and a volume of 1.53×10^3 L. If the temperature changes to 64 °C, and there is no change of pressure or amount of gas, what is the new volume, V2, of the gas?
1B: What Celsius temperature, T2, is required to change the volume of the gas sample in Part A (T1 = 35 °C, V1 = 1.53×10^3 L) to a volume of 3.06×10^3 L? Assume no change in pressure or the amount of gas in the balloon.
2A: A cylinder, with a piston pressing down with a constant pressure, is filled with 2.10 moles of a gas (n1), and its volume is 49.0 L (V1). If 0.700 mole of gas leaks out, and the pressure and temperature remain the same, what is the final volume of the gas inside the cylinder?
2B: A sample of gas in a cylinder as in the example in Part A has an initial volume of 40.0 L, and you have determined that it contains 1.00 mole of gas. The next day you notice that some of the gas has leaked out. The pressure and temperature remain the same, but the volume has changed to 10.0 L. How many moles of gas (n2) remain in the cylinder?
3A: A sample of ideal gas is in a sealed container. The pressure of the gas is 505 torr, and the temperature is 24 °C. If the temperature changes to 88 °C with no change in volume or amount of gas, what is the new pressure, P2, of the gas inside the container?
3B: Using the same sample of gas (P1 = 505 torr, T1 = 24 °C), we wish to change the pressure to 5050 torr with no accompanying change in volume or amount of gas. What temperature T2, in Celsius, is needed to reach this pressure?