How many moles of Sc are there in 49.8 grams of Sc?
The correct answer and explanation is:
To calculate the number of moles of Scandium (Sc) in 49.8 grams, you will need to use the formula: moles=massmolar mass\text{moles} = \frac{\text{mass}}{\text{molar mass}}
Where:
- mass is the mass of the substance (49.8 grams of Sc in this case).
- molar mass is the molar mass of Scandium, which is approximately 44.96 grams per mole (g/mol).
Now, substitute the given values into the formula: moles of Sc=49.8 grams44.96 g/mol\text{moles of Sc} = \frac{49.8 \, \text{grams}}{44.96 \, \text{g/mol}} moles of Sc≈1.11 moles\text{moles of Sc} \approx 1.11 \, \text{moles}
Thus, there are approximately 1.11 moles of Scandium in 49.8 grams.
Explanation:
A mole is a fundamental concept in chemistry, referring to a specific quantity of particles (atoms, molecules, ions, etc.). One mole of any substance contains Avogadro’s number of particles, which is approximately 6.022×10236.022 \times 10^{23}. The molar mass of an element is the mass of one mole of that element, expressed in grams per mole (g/mol). For Scandium (Sc), the molar mass is about 44.96 g/mol, meaning that one mole of Scandium weighs 44.96 grams.
To find how many moles are present in a given mass, the formula above is used. By dividing the mass of the substance by its molar mass, the result gives the number of moles. This calculation is crucial for converting between mass and the amount of substance in moles, a step often needed when performing chemical reactions or calculations in chemistry.