To find out how many grams of nickel (Ni) are in 1.57 moles of Ni, you'll want to use the molar mass of nickel and the number of moles. Here is a detailed, step-by-step solution:
1. Identify the molar mass of nickel (Ni): The molar mass of Ni is [tex]\( 58.69 \, \text{g/mol} \)[/tex].
2. Determine the number of moles of Ni: We have [tex]\( 1.57 \, \text{mol} \)[/tex] of Ni.
3. Set up the conversion calculation: To convert from moles to grams, you multiply the number of moles by the molar mass (grams per mole).
[tex]\[
\text{grams of Ni} = \text{moles of Ni} \times \text{molar mass of Ni}
\][/tex]
4. Substitute the given values: [tex]\[
\text{grams of Ni} = 1.57 \, \text{mol} \times 58.69 \, \text{g/mol}
\][/tex]
5. Calculate the result: Performing the multiplication gives: [tex]\[
\text{grams of Ni} = 92.1433 \, \text{g}
\][/tex]
Therefore, there are [tex]\( 92.1433 \, \text{grams} \)[/tex] of nickel in [tex]\( 1.57 \, \text{moles} \)[/tex] of Ni.
