the gases listed are at standard temperature and pressure:\n· 1 mol of co₂ gas\n· 1 mol of n₂ gas\n· 2 mol…
the gases listed are at standard temperature and pressure:\n· 1 mol of co₂ gas\n· 1 mol of n₂ gas\n· 2 mol of o₂ gas\n\nwhich statement is correct?\no the volume of 1 mol of co₂ is greater than that of 2 mol of o₂.\no the volume of 1 mol of co₂ is greater than that of 1 mol of n₂.\no the volumes of 2 mol of o₂ and 1 mol of n₂ gases are the same.\no the volumes of 1 mol of co₂ and 1 mol of n₂ gases are the same.
Answer
Explanation:
Step1: Recall Avogadro's law
At standard temperature and pressure (STP), equal - amounts (in moles) of any ideal gas occupy the same volume. The molar volume of an ideal gas at STP is approximately 22.4 L/mol.
Step2: Analyze each option
- Option 1: 1 mol of (CO_2) and 2 mol of (O_2). Since 2 mol of (O_2) has a greater number of moles than 1 mol of (CO_2), the volume of 2 mol of (O_2) is greater than that of 1 mol of (CO_2) according to (V = n\times V_m) (where (V) is volume, (n) is the number of moles, and (V_m) is the molar - volume at STP).
- Option 2: 1 mol of (CO_2) and 1 mol of (N_2). According to Avogadro's law, at STP, 1 mol of any ideal gas has the same volume. So the volume of 1 mol of (CO_2) is equal to that of 1 mol of (N_2), not greater.
- Option 3: 2 mol of (O_2) and 1 mol of (N_2). Since 2 mol of (O_2) has a greater number of moles than 1 mol of (N_2), their volumes are not the same.
- Option 4: 1 mol of (CO_2) and 1 mol of (N_2). At STP, equal moles of ideal gases have the same volume. So the volumes of 1 mol of (CO_2) and 1 mol of (N_2) gases are the same.