How many grams are in 10.0 mol of Chromium?
The Correct Answer and Explanation is :
To determine how many grams are in 10.0 moles of chromium, we first need to know the molar mass of chromium (Cr). The molar mass is the mass of one mole of a substance and is typically expressed in grams per mole (g/mol).
Molar Mass of Chromium
The molar mass of chromium is approximately 51.96 g/mol. This value can be found on the periodic table, where elements are listed along with their atomic weights. For chromium, it is rounded to two decimal places for precision in calculations.
Calculation
To find the mass in grams of 10.0 moles of chromium, we use the formula:
[
\text{Mass (g)} = \text{Number of moles} \times \text{Molar mass (g/mol)}
]
Substituting the values we have:
[
\text{Mass (g)} = 10.0 \, \text{mol} \times 51.96 \, \text{g/mol}
]
Calculating this gives:
[
\text{Mass (g)} = 10.0 \times 51.96 = 519.6 \, \text{g}
]
Conclusion
Therefore, there are 519.6 grams in 10.0 moles of chromium.
Explanation of Moles and Molar Mass
The concept of a mole is fundamental in chemistry as it provides a bridge between the atomic scale and macroscopic quantities. One mole of any substance contains (6.022 \times 10^{23}) entities (atoms, molecules, etc.), known as Avogadro’s number. This allows chemists to count particles by weighing them.
Molar mass is a crucial factor in stoichiometry, which is the calculation of reactants and products in chemical reactions. By knowing the molar mass, chemists can easily convert between grams and moles, facilitating the quantification of materials in laboratory experiments or industrial processes. In summary, understanding how to convert moles to grams using molar mass is essential for accurate measurements in chemistry.