The chemical substance in natural gas is a compound called methane. Its molecules are composed of carbon and hydrogen and each molecule contains four atoms of hydrogen and one atom of carbon. In this compound, 0.33597g of hydrogen is combined with 1g of C12. Use this information to calculate the atomic mass of the element hydrogen.
Please explain each step thoroughly, thanks in advance!
Well, well, well! Looks like we're going on an atomic adventure, my friend! Let's break down the steps and calculate the atomic mass of hydrogen. Get ready to embrace the humor!
Step 1: Find the number of moles for each element.
To calculate the number of moles, we need to use the molar mass of each element. For hydrogen, the molar mass is approximately 1 g/mol, while for carbon (C12), it's 12 g/mol.
Step 2: Calculate the moles of hydrogen.
We know that 0.33597g of hydrogen is combined with 1g of C12. Assuming that the entire 0.33597g of hydrogen comes from a single molecule of methane, we divide the mass by the molar mass of hydrogen.
0.33597g / 1 g/mol = 0.33597 mol
Step 3: Determine the number of hydrogen atoms in one molecule of methane.
In one molecule of methane (CH4), we have four hydrogen atoms.
Step 4: Calculate the mass of one hydrogen atom.
Now, we'll calculate how much one hydrogen atom weighs! Since we have four hydrogen atoms in 0.33597 mol of hydrogen, we can divide the mass by the number of hydrogen atoms.
0.33597 mol / 4 = 0.0839925 mol of hydrogen per atom
Step 5: Convert from moles to grams.
Finally, to find the atomic mass of hydrogen, we multiply the number of moles of hydrogen per atom by the molar mass of hydrogen.
0.0839925 mol * 1 g/mol = 0.0839925 g
So, my hilarious friend, the atomic mass of hydrogen is approximately 0.0839925 grams. Remember, laughter is the best element to lighten things up!
To calculate the atomic mass of hydrogen, we need to use the given information of the compound methane where 0.33597g of hydrogen is combined with 1g of carbon-12 (C12).
Step 1: Determine the molar mass of carbon-12 (C12):
The molar mass of carbon-12 is equal to 12 g/mol.
Step 2: Calculate the moles of carbon-12 (C12):
Using the molar mass, we can calculate the moles of carbon-12 by dividing the given mass of 1g by the molar mass of carbon-12:
moles of C12 = 1g / 12 g/mol = 0.08333 mol
Step 3: Calculate the number of moles of hydrogen:
According to the stoichiometry of methane, every molecule of methane (CH4) contains four atoms of hydrogen (H). So, the number of moles of hydrogen is equal to four times the moles of carbon-12:
moles of H = 4 * moles of C12 = 4 * 0.08333 mol = 0.33332 mol
Step 4: Determine the mass of hydrogen:
The mass of hydrogen can be calculated by multiplying the moles of hydrogen by the molar mass of hydrogen.
The atomic mass of hydrogen is the average mass of hydrogen atoms found naturally on Earth, which is approximately 1.00784 atomic mass units.
Step 5: Calculate the atomic mass of hydrogen:
To calculate the atomic mass of hydrogen, divide the mass of hydrogen by the number of moles of hydrogen:
atomic mass of H = mass of H / moles of H = 0.33597g / 0.33332 mol ≈ 1.0083 g/mol
Therefore, the atomic mass of hydrogen is approximately 1.0083 g/mol.
To calculate the atomic mass of hydrogen, we need to know the number of hydrogen atoms present in the compound compared to the number of carbon atoms.
Given that in the compound, 0.33597 grams of hydrogen is combined with 1 gram of carbon (C12).
Step 1: Calculate the number of moles of carbon:
To do this, we need to convert the mass of carbon (in grams) to moles using the molar mass of carbon.
The molar mass of carbon (C12) is approximately 12 g/mol.
Number of moles of carbon = mass of carbon / molar mass of carbon
Number of moles of carbon = 1 g / 12 g/mol
Step 2: Calculate the number of moles of hydrogen:
To calculate the number of moles of hydrogen, we need to use the ratio of hydrogen to carbon atoms in the compound.
We know that each molecule of methane contains one carbon atom, so the number of moles of hydrogen will be the same as the number of moles of carbon.
Number of moles of hydrogen = number of moles of carbon
Step 3: Calculate the mass of hydrogen:
To calculate the mass of hydrogen, we multiply the number of moles of hydrogen by the molar mass of hydrogen.
The atomic mass of hydrogen is approximately 1 g/mol.
Mass of hydrogen = number of moles of hydrogen * molar mass of hydrogen
Step 4: Plug in the values and calculate the atomic mass of hydrogen:
The atomic mass of hydrogen can be calculated by dividing the mass of hydrogen by the number of moles of hydrogen.
Atomic mass of hydrogen = mass of hydrogen / number of moles of hydrogen
Now let's calculate it:
Number of moles of carbon = 1 g / 12 g/mol = 0.0833 moles
Number of moles of hydrogen = 0.0833 moles
Mass of hydrogen = 0.0833 moles * 1 g/mol = 0.0833 g
Atomic mass of hydrogen = 0.0833 g / 0.0833 moles = 1 g/mol
Therefore, the atomic mass of hydrogen is approximately 1 g/mol.
first we write the balanced chemical reaction:
C + 2 H2 -> CH4
*note that Hydrogen is diatomic in nature (that's why it's H2, not H)
then to get how much H2 reacted (in grams), we use the data of Carbon. 1 g of Carbon reacted, thus to get the number of moles of C, we divide 1 g by its molar mass (which is 12 g/mol)
1/12 = 0.0833 mol C
using the stoichiometric coefficients (number before the chemical symbol in the reaction) of the elements, we can relate the number of moles of C reacted to the number of moles of H2 reacted:
0.0833 mol C * (2 mol H2 / 1 mol C) = 0.1667 mol H2
then from the given, 0.33597 g of H is used. to convert this to grams of H2, we just divide 0.33597 by 2:
0.33597 g H / 2 = 0.167985 g H2
finally, to the the molar mass of H, we divide grams of H2 by moles of H2:
0.167985 / 0.1667 = 1.01 g/mol
hope this helps~ :)