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At standard temperature and pressure, a given sample of water vapor occupies a volume of 2.80 L. How many hydrogen atoms are present in the container?

User Ultimater
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Step-by-step explanation:

To determine the number of hydrogen atoms in the container, we need to know the number of water molecules present in the container.

At standard temperature and pressure (STP), which is defined as a temperature of 273.15 K and a pressure of 1 atmosphere (atm), one mole of any gas occupies a volume of 22.4 liters. Therefore, the number of moles of water vapor present in the container can be calculated as:

n = V/22.4

where V is the volume of the container in liters. Substituting the given value, we get:

n = 2.80/22.4 = 0.125

So, there are 0.125 moles of water vapor in the container.

Now, to determine the number of hydrogen atoms present in the container, we need to know the number of water molecules in the container, since each water molecule contains two hydrogen atoms. The number of water molecules can be calculated as:

N = n * N_A

where N_A is Avogadro's number, which is equal to 6.022 x 10^23 molecules per mole. Substituting the values, we get:

N = 0.125 * 6.022 x 10^23 = 7.528 x 10^22

So, there are 7.528 x 10^22 water molecules in the container, and since each water molecule contains 2 hydrogen atoms, the total number of hydrogen atoms in the container is:

2 * N = 2 * 7.528 x 10^22 = 1.506 x 10^23

Therefore, there are 1.506 x 10^23 hydrogen atoms present in the container.

User Mohanraj
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