a sample of carbon dioxide gas has a mass of 52.0g. how many oxygen atoms arr present?explain
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How many moles CO2 are present? That will be moles = grams/molar mass.
Then there are 2 O atoms in 1 molecule CO2; therefore, multiply moles CO2 x 2 = moles O atoms.
Finally, moles O atoms x 6.022E23 = # O atoms.
To determine the number of oxygen atoms present in a sample of carbon dioxide gas, we need to use the molar mass and Avogadro's number.
The molar mass of carbon dioxide (CO2) is 44.01 g/mol. This means that one mole of carbon dioxide molecules weighs 44.01 grams.
First, we need to find the number of moles of carbon dioxide in the given sample mass. We can use the formula:
Number of moles = Mass / Molar mass
Number of moles = 52.0 g / 44.01 g/mol ≈ 1.18 moles
Next, we use Avogadro's number to calculate the number of molecules in one mole. Avogadro's number is approximately 6.022 x 10^23.
Number of molecules = Number of moles x Avogadro's number
Number of molecules = 1.18 moles x 6.022 x 10^23 molecules/mol ≈ 7.12 x 10^23 molecules
Since each carbon dioxide molecule (CO2) contains one carbon atom and two oxygen atoms, we can calculate the number of oxygen atoms by multiplying the number of molecules by 2.
Number of oxygen atoms = Number of molecules x 2
Number of oxygen atoms = 7.12 x 10^23 molecules x 2 = 14.24 x 10^23 ≈ 1.42 x 10^24 oxygen atoms
Therefore, there are approximately 1.42 x 10^24 oxygen atoms present in the given sample of carbon dioxide gas.
To determine the number of oxygen atoms present in a sample of carbon dioxide gas, you need to follow a step-by-step approach:
Step 1: Find the molar mass of carbon dioxide (CO2).
The molar mass of carbon dioxide is calculated by adding up the atomic masses of the elements it contains. The atomic masses of carbon (C) and oxygen (O) are approximately 12.01 g/mol and 16.00 g/mol, respectively. Therefore, the molar mass of carbon dioxide, CO2, is:
(1 * 12.01 g/mol) + (2 * 16.00 g/mol) = 44.01 g/mol
Step 2: Calculate the number of moles of carbon dioxide (CO2) in the sample.
The number of moles can be determined using the formula:
Number of moles = Mass / Molar mass
In this case, the mass of the carbon dioxide sample is given as 52.0 g, so we can calculate the number of moles as follows:
Number of moles = 52.0 g / 44.01 g/mol ≈ 1.18 mol
Step 3: Use the mole ratio to find the number of oxygen atoms.
The empirical formula of carbon dioxide (CO2) indicates that for every one molecule of CO2, there are two oxygen atoms present. In other words, the mole ratio of carbon dioxide to oxygen atoms is 1:2.
Therefore, to find the number of oxygen atoms present, multiply the number of moles of carbon dioxide by the mole ratio:
Number of oxygen atoms = Number of moles of CO2 * (2 mol O2 / 1 mol CO2)
= 1.18 mol * 2
= 2.36 mol
Step 4: Convert the number of oxygen atoms from moles to atoms.
To convert from moles to atoms, you need to multiply by Avogadro's number, which is approximately 6.022 x 10^23 atoms/mol.
Number of oxygen atoms = 2.36 mol * 6.022 x 10^23 atoms/mol
≈ 1.42 x 10^24 atoms
Therefore, the sample of carbon dioxide gas with a mass of 52.0 g contains approximately 1.42 x 10^24 oxygen atoms.