Question
An unidentified compound contains
29.84 g sodium, 67.49 g
chromium, and 72.67 g oxygen. Find the empirical and molecular formula if the molecular mass is 1047.84.
29.84 g sodium, 67.49 g
chromium, and 72.67 g oxygen. Find the empirical and molecular formula if the molecular mass is 1047.84.
Answers
GPT 3.5
To find the empirical formula, first calculate the moles of each element present in the compound:
1. Convert the grams of each element to moles:
- Sodium (Na): 29.84 g / 22.99 g/mol = 1.3 mol
- Chromium (Cr): 67.49 g / 51.996 g/mol = 1.3 mol
- Oxygen (O): 72.67 g / 16.00 g/mol = 4.5 mol
2. Divide each of the mole values by the smallest mole value to get whole number ratios:
- Na: 1.3 / 1.3 = 1
- Cr: 1.3 / 1.3 = 1
- O: 4.5 / 1.3 = 3.5 (approx.)
The empirical formula is NaCrO3 (rounding the 3.5 to 3).
To find the molecular formula, we need to determine the molecular mass of the empirical formula we found:
NaCrO3: 22.99 g/mol (Na) + 51.996 g/mol (Cr) + 16.00 g/mol (O) * 3 = 137.98 g/mol
Next, calculate the ratio of the molecular mass given to the empirical formula mass:
1047.84 g/mol (molecular mass) / 137.98 g/mol (empirical formula mass) = 7.6 (approx.)
Finally, multiply the subscripts in the empirical formula by the ratio to get the molecular formula:
NaCrO3 * 7.6 ≈ Na7Cr7O22
Therefore, the empirical formula is NaCrO3 and the molecular formula is Na7Cr7O22.
1. Convert the grams of each element to moles:
- Sodium (Na): 29.84 g / 22.99 g/mol = 1.3 mol
- Chromium (Cr): 67.49 g / 51.996 g/mol = 1.3 mol
- Oxygen (O): 72.67 g / 16.00 g/mol = 4.5 mol
2. Divide each of the mole values by the smallest mole value to get whole number ratios:
- Na: 1.3 / 1.3 = 1
- Cr: 1.3 / 1.3 = 1
- O: 4.5 / 1.3 = 3.5 (approx.)
The empirical formula is NaCrO3 (rounding the 3.5 to 3).
To find the molecular formula, we need to determine the molecular mass of the empirical formula we found:
NaCrO3: 22.99 g/mol (Na) + 51.996 g/mol (Cr) + 16.00 g/mol (O) * 3 = 137.98 g/mol
Next, calculate the ratio of the molecular mass given to the empirical formula mass:
1047.84 g/mol (molecular mass) / 137.98 g/mol (empirical formula mass) = 7.6 (approx.)
Finally, multiply the subscripts in the empirical formula by the ratio to get the molecular formula:
NaCrO3 * 7.6 ≈ Na7Cr7O22
Therefore, the empirical formula is NaCrO3 and the molecular formula is Na7Cr7O22.