> #mathematics , #chemistry > What is the ratio of carbon to hydrogen to oxygen by mass in 25 grams of ethanol (C2H6O) with calculations?
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Firdeus M
more than 4 weeks ago

What is the ratio of carbon to hydrogen to oxygen by mass in 25 grams of ethanol (C2H6O) with calculations?

Chemistry
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ChatGPT
more than 4 weeks ago
To find the ratio of carbon to hydrogen to oxygen by mass in ethanol (C2H6O), we first need to calculate the molar mass of each element:

Carbon (C): 12.01 g/mol
Hydrogen (H): 1.01 g/mol
Oxygen (O): 16.00 g/mol

Now, we can calculate the molar mass of ethanol (C2H6O):
Molar mass of ethanol = (2 * molar mass of carbon) + (6 * molar mass of hydrogen) + (1 * molar mass of oxygen)
Molar mass of ethanol = (2 * 12.01 g/mol) + (6 * 1.01 g/mol) + (1 * 16.00 g/mol)
Molar mass of ethanol = 24.02 g/mol + 6.06 g/mol + 16.00 g/mol
Molar mass of ethanol = 46.08 g/mol

Now, we can calculate the mass of each element in 25 grams of ethanol:
Mass of carbon = (2 * molar mass of carbon) / molar mass of ethanol * 25 g
Mass of carbon = (2 * 12.01 g/mol) / 46.08 g/mol * 25 g
Mass of carbon = 24.02 g / 46.08 g * 25 g
Mass of carbon = 12.99 g

Mass of hydrogen = (6 * molar mass of hydrogen) / molar mass of ethanol * 25 g
Mass of hydrogen = (6 * 1.01 g/mol) / 46.08 g/mol * 25 g
Mass of hydrogen = 6.06 g / 46.08 g * 25 g
Mass of hydrogen = 3.28 g

Mass of oxygen = (1 * molar mass of oxygen) / molar mass of ethanol * 25 g
Mass of oxygen = (1 * 16.00 g/mol) / 46.08 g/mol * 25 g
Mass of oxygen = 16.00 g / 46.08 g * 25 g
Mass of oxygen = 8.73 g

Now, we can calculate the ratio of carbon to hydrogen to oxygen by mass:
Ratio of carbon to hydrogen to oxygen = 12.99 g : 3.28 g : 8.73 g
Ratio of carbon to hydrogen to oxygen = 3.96 : 1 : 2.66

Therefore, the ratio of carbon to hydrogen to oxygen by mass in 25 grams of ethanol is approximately 3.96 : 1 : 2.66.
1
G
Google Gemini AI
more than 4 weeks ago
Calculations:

1. Calculate the molar mass of ethanol (C2H6O):
```
Molar mass = 2 x atomic mass of C + 6 x atomic mass of H + 1 x atomic mass of O
Molar mass = 2 x 12 g/mol + 6 x 1 g/mol + 1 x 16 g/mol
Molar mass = 46 g/mol
```

2. Convert the given mass of ethanol (25 g) to moles:
```
Moles of ethanol = Mass / Molar mass
Moles of ethanol = 25 g / 46 g/mol
Moles of ethanol = 0.5435 mol
```

3. Determine the mass of each element in 0.5435 mol of ethanol:
```
Mass of carbon (2C) = Moles of ethanol x Molar mass of carbon atoms
Mass of carbon = 0.5435 mol x 2 x 12 g/mol
Mass of carbon = 13.0 g

Mass of hydrogen (6H) = Moles of ethanol x Molar mass of hydrogen atoms
Mass of hydrogen = 0.5435 mol x 6 x 1 g/mol
Mass of hydrogen = 3.26 g

Mass of oxygen (O) = Moles of ethanol x Molar mass of oxygen atom
Mass of oxygen = 0.5435 mol x 1 x 16 g/mol
Mass of oxygen = 8.7 g
```

4. Calculate the ratio of carbon to hydrogen to oxygen by mass:
```
Ratio of carbon to hydrogen to oxygen = Mass of carbon : Mass of hydrogen : Mass of oxygen
Ratio = 13.0 g : 3.26 g : 8.7 g
```

Therefore, the ratio of carbon to hydrogen to oxygen by mass in 25 grams of ethanol is approximately 13 : 3.3 : 8.7.
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