Macdonald Ramirez
07/26/2023 · High School
2. What is the mass in grams of 3.8 mol of \( \mathrm{SO}_{2} \) ?
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Step-by-step Solution
To find the mass in grams of 3.8 mol of \( \mathrm{SO}_{2} \), we need to know the molar mass of \( \mathrm{SO}_{2} \).
The molar mass of \( \mathrm{SO}_{2} \) can be calculated by adding the atomic masses of sulfur (S) and oxygen (O). The atomic mass of sulfur is approximately 32.07 g/mol, and the atomic mass of oxygen is approximately 16.00 g/mol.
Therefore, the molar mass of \( \mathrm{SO}_{2} \) is:
\[ \text{Molar mass of } \mathrm{SO}_{2} = 32.07 \, \text{g/mol} + 2 \times 16.00 \, \text{g/mol} = 64.07 \, \text{g/mol} \]
Now, we can calculate the mass in grams of 3.8 mol of \( \mathrm{SO}_{2} \) by multiplying the molar mass by the number of moles:
\[ \text{Mass in grams} = \text{Molar mass} \times \text{Number of moles} \]
Substitute the values:
\[ \text{Mass in grams} = 64.07 \, \text{g/mol} \times 3.8 \, \text{mol} \]
Calculate the mass in grams.
Calculate the value by following steps:
- step0: Calculate:
\(64.07\times 3.8\)
- step1: Multiply the numbers:
\(243.466\)
The mass in grams of 3.8 mol of \( \mathrm{SO}_{2} \) is approximately 243.47 grams.
Quick Answer
The mass of 3.8 mol of \( \mathrm{SO}_{2} \) is approximately 243.47 grams.
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