Final answer:
To determine the grams of ZnS required to react with 12.6 L of oxygen gas at STP, use the balanced chemical equation and the ideal gas law to calculate the number of moles of oxygen gas. Then, use the balanced equation again to calculate the number of moles of ZnS. Finally, convert moles of ZnS to grams using its molar mass.
Step-by-step explanation:
To determine the grams of ZnS required to react with 12.6 L of oxygen gas at STP, we need to first balance the chemical equation for the reaction between ZnS and oxygen.
The balanced equation is:
ZnS + 1.5 O2 -> ZnSO4
The molar ratio between ZnS and O2 is 1:1.5.
Therefore, we can calculate the number of moles of O2 using the ideal gas law: PV = nRT.
At STP, the pressure (P) is 1 atm and the volume (V) is 12.6 L.
The gas constant (R) is 0.0821 L·atm/mol·K, and the temperature (T) is 273 K.
Substituting these values into the ideal gas law equation, we can solve for the number of moles of O2.
With the number of moles of O2 known, we can use the balanced equation to determine the number of moles of ZnS. Finally, we can convert moles of ZnS to grams using its molar mass.