If 2.01mol of CO occupies 10.5L, how many moles of CO will occupy a 78.1L container at the same temperature and pressure? Round your answer to 3 significant figures.
Question
If 2.01mol of CO occupies 10.5L, how many moles of CO will occupy a 78.1L container at the same temperature and pressure? Round your answer to 3 significant figures.
Solution
This problem can be solved using the ideal gas law, which states that the volume of a gas is directly proportional to the number of moles of the gas if the temperature and pressure are held constant.
Step 1: Identify the given values.
- Initial moles (n1) = 2.01 mol
- Initial volume (V1) = 10.5 L
- Final volume (V2) = 78.1 L
Step 2: Use the formula for direct proportion to find the final moles (n2). The formula is (n1/V1) = (n2/V2).
Step 3: Substitute the given values into the formula and solve for n2.
- (2.01 mol / 10.5 L) = (n2 / 78.1 L)
- n2 = (2.01 mol / 10.5 L) * 78.1 L
- n2 = 14.9 mol
Therefore, 14.9 moles of CO will occupy a 78.1 L container at the same temperature and pressure.
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