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Convert 89.6L of Cl2 gas to molecules.

1 Answer

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Final answer:

To convert 89.6L of Cl2 gas to molecules, calculate the moles of Cl2 using the molar volume, then multiply by Avogadro's number, resulting in 2.41 x 10^24 molecules of Cl2.

Step-by-step explanation:

To convert 89.6L of Cl2 gas to molecules, you need to use two conversion factors. First, since we are dealing with a gas under standard conditions, we can use the ideal gas law to find the number of moles.

At standard temperature and pressure, one mole of gas occupies 22.4 liters. By dividing the volume of Cl2 gas by this molar volume, you calculate the moles of Cl2.

89.6 L / 22.4 L/mol = 4.0 moles of Cl2

Next, to obtain the number of Cl2 molecules, you multiply the moles of Cl2 by Avogadro's number (6.022 × 1023 molecules/mol).

4.0 moles × 6.022 × 1023 molecules/mol = 2.41 × 1024 molecules of Cl2

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