The number of molecules in 8.96 litre of a gas at 0ºC and 1 atm. pressure is approximately 6.023 × 1023 12.04 × 1023 18.06 × 1023 24.08 × 1022
Question
The number of molecules in 8.96 litre of a gas at 0ºC and 1 atm. pressure is approximately 6.023 × 1023 12.04 × 1023 18.06 × 1023 24.08 × 1022
Solution 1
The question seems to be asking for the number of molecules in a certain volume of gas at a specific temperature and pressure. This can be calculated using Avogadro's Law, which states that one mole of any gas at standard temperature and pressure (0ºC and 1 atm) occupies 22.4 liters.
Here are the steps to solve this:
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First, determine the number of moles of gas in 8.96 liters. Since 1 mole of gas occupies 22.4 liters at 0ºC and 1 atm, the number of moles in 8.96 liters would be 8.96 / 22.4 = 0.4 moles.
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Next, use Avogadro's number (6.022 x 10^23), which is the number of molecules in one mole of a substance, to find the total number of molecules. Multiply the number of moles by Avogadro's number: 0.4 moles x 6.022 x 10^23 molecules/mole = 2.4088 x 10^23 molecules.
So, the number of molecules in 8.96 liters of a gas at 0ºC and 1 atm pressure is approximately 2.4088 x 10^23. This doesn't match any of the options provided, so there may be a mistake in the question or the answer choices.
Solution 2
The question seems to be asking for the number of molecules in a certain volume of gas at a specific temperature and pressure. This can be calculated using Avogadro's Law, which states that one mole of any gas at standard temperature and pressure (0ºC and 1 atm) occupies 22.4 liters.
Here are the steps to solve this:
-
First, determine the number of moles of gas in 8.96 liters. Since 1 mole of gas occupies 22.4 liters at 0ºC and 1 atm, the number of moles in 8.96 liters would be 8.96 / 22.4 = 0.4 moles.
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Next, use Avogadro's number (6.022 x 10^23), which is the number of molecules in one mole of a substance, to find the total number of molecules. Multiply the number of moles by Avogadro's number: 0.4 moles x 6.022 x 10^23 molecules/mole = 2.4088 x 10^23 molecules.
So, the number of molecules in 8.96 liters of a gas at 0ºC and 1 atm pressure is approximately 2.4088 x 10^23. This is not exactly one of the options given, but it is closest to 2.408 x 10^23 (or 24.08 x 10^22).
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