Exam 10: Gases
A 25.0 L cylinder contains 2.50 *102 g of CH4. What is the pressure in the cylinder at 27.0°C calculated using van der Waals equation?
B
Explain Robert Boyle's J-shaped tube experiments that determined the quantitative relationship between the pressure and the volume of a gas.
Boyle used a J-shaped tube partially filled with mercury, to determine the relationship between gas pressure and volume. In these experiments, a small amount of a gas or air is trapped above the mercury column, and its volume is measured at atmospheric pressure and constant temperature. More mercury is then poured into the open arm to increase the pressure on the gas sample. The pressure on the gas is atmospheric pressure plus the difference in the heights of the mercury columns, and the resulting volume is measured. This process is repeated until either there is no more room in the open arm or the volume of the gas is too small to be measured accurately. Data such as those from one of Boyle's own experiments may be plotted in several ways. A simple plot of V versus P gives a curve called a hyperbola and reveals an inverse relationship between pressure and volume: as the pressure is doubled, the volume decreases by a factor of two. This relationship between the two quantities is described as follows:
PV = constant
Dividing both sides by P gives an equation illustrating the inverse relationship between P and V:
V This relationship between pressure and volume is known as Boyle's law.
A man weighing 750 kg stands on a stool. If the stool has four legs and each leg equals a surface area of 25 cm2, what is the pressure exerted by the man on the floor?
B
Based on their position in the periodic table, which of the following would be a gas?
The elements that occur naturally as gases are on the _____ side of the periodic table.
The partial pressures of oxygen in atmospheric air and in air exhaled by a human are in the ratio of 4:3. If the mole fraction of oxygen in atmospheric air is 0.21, how much oxygen is utilized per liter of air breathed?
An oxygen cylinder used by scuba divers contains 21% of oxygen (mimicking air). Pure oxygen at a pressure above 1 atmosphere is toxic. If the undersea pressure increases by one atmosphere every 33 feet, how deep can a diver using the oxygen cylinder dive before the oxygen gets toxic?
At constant temperature and volume, the pressure exerted by a gas depends on only the total number of moles of gas present.
At what temperature will the volume of a gas be equal to zero?
The root mean squared speed of a gas particle increases as the temperature of the gas _____.
The value of the universal gas constant in terms of J/K.mol is 0.082057.
A 10.0 L cylinder contains 370.0 g of N2. Its pressure to three significant figures at 27.0 °C calculated using van der Waals equation is _____.
As the density of a gas decreases, the mean free path becomes _____.
In a gas, attractive intermolecular forces produce a pressure that is more than that expected based on the ideal gas law.
A 25.0 L cylinder contains 2.50 *102 g of CH4. What is the difference in the pressure at 27.0°C calculated using van der Waals equation, and the pressure calculated using the ideal gas equation?
The speed of 8 particles were found to be 2, 2, 4, 5, 5, 7, 6, and 6 m/s, the root mean squared speed of the particles are _____ m/s.
The partial pressure of a gas is independent of the pressure exerted by all other gases present.
The volume of a container containing a gas is increased by 50%. Which of the following quantities decreases?
One mole of a gas at 25˚C at a pressure of 2 atms has a volume of 17.8 L. What will the volume of the gas be at a temperature of 35˚C?
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