To determine the mass of the gas produced in the reaction, we use the law of conservation of mass, which states that mass is neither created nor destroyed in a chemical reaction.
-
First, we calculate the total mass of the reactants:
- Mass of Reactant 1 = 33 grams
- Mass of Reactant 2 = 57 grams
- Total mass of reactants = 33 g + 57 g = 90 grams
-
Next, we calculate the total mass of the products:
- Mass of the solid produced = 26 grams
- Let the mass of the gas produced be \( x \) grams.
According to the conservation of mass: \[ \text{Total mass of reactants} = \text{Total mass of products} \]
This can be expressed as: \[ 90 \text{ grams} = 26 \text{ grams} + x \]
-
Solving for \( x \): \[ x = 90 \text{ grams} - 26 \text{ grams} = 64 \text{ grams} \]
Therefore, the mass of the gas produced is 64 grams.