Final answer:
To calculate the mass of 7.33 x 10²⁶ molecules of Ca(NO₃)₂, we find the molar mass (164.10 g/mol), convert the number of molecules to moles using Avogadro's number, and then multiply the number of moles by the molar mass to obtain the mass, which is approximately 199.744 grams.
Step-by-step explanation:
The student's question asks about the mass of 7.33 x 10²⁶ molecules of calcium nitrate (Ca(NO₃)₂). To answer this, we will follow several steps:
- First, we need to find the molar mass of Ca(NO₃)₂, which has been previously calculated as 164.10 g/mol.
- Next, we convert the number of molecules to moles by using Avogadro's number (6.022 x 10²³ molecules/mol).
- Finally, we will calculate the mass by multiplying the number of moles by the molar mass of Ca(NO₃)₂.
Let's carry out these steps:
- Using Avogadro's number, calculate the number of moles:
7.33 x 10²⁶ molecules × (1 mol / 6.022 x 10²³ molecules) = 1.217 mol - Calculate the mass:
1.217 mol × 164.10 g/mol = 199.744 g
Therefore, the mass of 7.33 x 10²⁶ molecules of Ca(NO₃)₂ is approximately 199.744 grams.