Regents Chemistry Exam August 2024 Question 38
38 A sealed, rigid cylinder contains 50. milliliters of argon gas, Ar(g), at 1.0 atmosphere and 273 K. A second sealed, rigid cylinder contains helium gas, He(g). Which conditions of volume, pressure, and temperature in the second cylinder would result in the number of helium atoms being equal to the number of argon atoms in the first cylinder?
(1) 50. mL, 0.5 atm, 546 K
(2) 50. mL, 1.0 atm, 273 K
(3) 100. mL, 0.5 atm, 546 K
(4) 100. mL, 1.0 atm, 273 K
Solution:
According to the ideal gas law, when two gases have the same pressure, temperature and volume, the number of moles (and atoms) would be the same as well. Therefore, we are looking for the same volume (50ml), same pressure (1atm) and the same temperature (273K). Choice 2 is the correct answer.
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