When coal is burned, the sulfur present in coal is converted...

When coal is burned, the sulfur present in coal is converted to sulfur dioxide $\left(\mathrm{SO}_{2}\right),$ which is responsible for the acid rain phenomenon: $$S(s)+O_{2}(g) \longrightarrow S O_{2}(g)$$ If $3.15 \space\mathrm{kg}$ of $\mathrm{S}$ reacts with oxygen, calculate the volume of $\mathrm{SO}_{2}$ gas (in $\mathrm{mL}$ ) formed at $30.5^{\circ} \mathrm{C}$ and 1.04 atm.

When coal is burned, the sulfur present in coal is converted to sulfur dioxide $\left(\mathrm{SO}_{2}\right),$ which is responsible for the acid rain phenomenon:
$$S(s)+O_{2}(g) \longrightarrow S O_{2}(g)$$
If $3.15 \space\mathrm{kg}$ of $\mathrm{S}$ reacts with oxygen, calculate the volume of $\mathrm{SO}_{2}$ gas (in $\mathrm{mL}$ ) formed at $30.5^{\circ} \mathrm{C}$ and 1.04 atm.

Key Concepts

Stoichiometry

Stoichiometry focuses on the quantitative relationships between reactants and products in a chemical reaction. It involves using the balanced chemical equation to relate amounts—typically in moles—of substances consumed and produced in the reaction. This allows for the calculation of the amount of a product formed from a given quantity of reactant.

Molar Mass

Molar mass is the mass of one mole of a substance, expressed in grams per mole (g/mol). It is used to convert between the mass of a substance and the moles, facilitating calculations in chemical reactions, such as determining how many moles of a reactant are present in a given mass.

Ideal Gas Law

The Ideal Gas Law, expressed as PV = nRT, relates the pressure (P), volume (V), number of moles (n), temperature (T), and the ideal gas constant (R). It is a crucial tool for determining the volume a gas will occupy under specified conditions of temperature and pressure, making it essential in converting moles of gas to volume.

Temperature Conversion

Temperature conversion, typically from Celsius to Kelvin, is essential in gas law calculations since the Ideal Gas Law requires temperature measurements to be in Kelvin. This conversion is done by adding 273.15 to the Celsius temperature, ensuring accurate calculations in chemical reactions involving gases.

Gas Volume Measurement

Gas volume measurement involves quantifying the space occupied by a gaseous substance under defined conditions of temperature and pressure. Using the Ideal Gas Law or standard molar volume concepts helps in converting the number of moles of a gas into a corresponding volume, often requiring unit conversions to achieve desired measurement units like milliliters.

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