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Two gas cylinders have identical volumes and contain gases at identical temperatures and pressures. Cylinder A contains hydrogen and cylinder B contains carbon dioxide. Assuming ideal-gas behavior, which of the following variables differ for the two gases:

(a) number of gram-moles,
(b) number of molecules,
(c) masses,
(d) specific molar volumes (L/mol),
(e) mass densities (g/L)?
For each of the quantities that differ, which one is bigger and by how much? (Assume ideal-gas behavior.)

User Fath
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2 Answers

1 vote

Final answer:

The variables that differ for the two gases are the number of gram-moles, number of molecules, masses, specific molar volumes, and mass densities. For each of these quantities, the values will differ based on the molar mass, molar volume, and mass of each gas.

Step-by-step explanation:

The variables that differ for the two gases are:

  1. (a) Number of gram-moles
  2. (b) Number of molecules
  3. (c) Masses
  4. (d) Specific molar volumes (L/mol)
  5. (e) Mass densities (g/L)

For (a) number of gram-moles, it will differ based on the molar mass of each gas. Gram-moles can be calculated using the formula:

Gram-moles = Mass (g) / Molar Mass (g/mol)

For (b) number of molecules, it will differ based on Avogadro's hypothesis which states that equal volumes of gases at the same temperature and pressure contain the same number of gas particles. Therefore, different gases will have different numbers of molecules.

For (c) masses, it will differ based on the molar mass of each gas. Different gases have different molar masses, so their masses will be different.

For (d) specific molar volumes, it will differ based on the molar volume of each gas. Specific molar volume is calculated by dividing the volume by the number of gram-moles. Since the number of gram-moles differs for the two gases, the specific molar volumes will also differ.

For (e) mass densities, it will differ based on the mass and volume of each gas. Mass density is calculated by dividing the mass by the volume. Since the mass and volume differ for the two gases, the mass densities will also differ.

User Ollins
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2 votes

Answer:

c

Step-by-step explanation:

User Repitch
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