What Mass in mg Does 2.63 Moles of Nickel Have?
To determine the mass of a substance when given the number of moles, you need to use the molar mass of that substance. For nickel (Ni), the molar mass is approximately 58.69 g/mol. So by multiplying the number of moles by the molar mass, you can find the mass in grams, which can then be converted to milligrams. This calculation is fundamental in chemistry for converting between atomic-scale measurements and real-world quantities Worth keeping that in mind..
Steps to Calculate the Mass of Nickel
- Identify the molar mass of nickel: Nickel has an atomic mass of 58.69 g/mol on the periodic table.
- Multiply moles by molar mass:
$ \text{Mass (g)} = \text{Moles} \times \text{Molar Mass} = 2.63 , \text{mol} \times 58.69 , \text{g/mol} = 154.31 , \text{g} $ - Convert grams to milligrams:
$ 154.31 , \text{g} \times 1000 = 154,310 , \text{mg} $
The final answer is 154,310 mg, which can also be written as 1.54 × 10⁵ mg in scientific notation.
Scientific Explanation: Why This Works
The mole is a unit that represents a specific number of particles, similar to how a dozen represents 12 items. 022 × 10²³** particles (Avogadro’s number). Worth adding: one mole contains **6. Think about it: the molar mass connects the mass of a single atom to the mass of one mole of atoms. For nickel, each atom has an average mass of 58.69 grams. 69 atomic mass units (amu), so one mole of nickel atoms has a mass of 58.By multiplying the number of moles by this value, you scale the atomic-level measurement to a bulk quantity.
Frequently Asked Questions
Why is molar mass important in this calculation?
Molar mass acts as a conversion factor between the number of moles and the mass of a substance. Without it, you cannot translate between atomic-scale measurements and practical units like grams or milligrams Simple, but easy to overlook..
How do I handle significant figures in these calculations?
The number of moles (2.63) has three significant figures, and the molar mass of nickel (58.69) has four. The final answer should match the least precise measurement, so it should be rounded to three significant figures: 154,000 mg or 1.54 × 10⁵ mg.
Can I use this method for other elements or compounds?
Yes. For compounds, add the molar masses of all constituent elements. As an example, water (H₂O) has a molar mass of 18.015 g/mol (2×1.008 for hydrogen + 16.00 for oxygen). Multiply this by the number of moles to find the mass.
What if the problem asks for kilograms instead of milligrams?
After calculating grams, divide by 1,000 to convert to kilograms. Take this case: 154.31 g = 0.15431 kg.
Conclusion
Calculating the mass of a substance from moles requires multiplying the number of moles by the molar mass. For 2.63 moles of nickel, the mass is 154,310 mg. And this process is essential in chemistry for scaling atomic-level quantities to real-world measurements. Mastering this skill allows you to tackle more complex problems involving solutions, reactions, and stoichiometry.
