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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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.

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The mass of 3.8 mol of \( \mathrm{SO}_{2} \) is approximately 243.47 grams.
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