To determine the molar mass of element X, we need to use the given information about the number of moles of reactants and the mass of the product formed.
1. The balanced chemical equation for the reaction is:
2Z + Y → X
2. Given moles of Z (Z = element X):
Number of moles of Z = 2.3 moles
3. Given moles of Y:
Number of moles of Y = 1.6 moles
4. Mass of X formed:
Mass of X = 71 grams
Now, let's calculate the molar mass of element X:
Step 1: Find the number of moles of X formed using the moles of Y:
Using the balanced chemical equation, we see that 2 moles of Z react with 1 mole of Y to form 1 mole of X.
So, if 1.6 moles of Y react, then (1.6 moles Y) × (1 mole X / 1 mole Y) = 1.6 moles of X are formed.
Step 2: Calculate the molar mass of X:
Molar mass of X = Mass of X formed / Number of moles of X
Molar mass of X = 71 grams / 1.6 moles
Molar mass of X ≈ 44.375 grams/mole
So, the molar mass of element X is approximately 44.375 grams/mole.