Consider the following data
`{:("Element","Atomic Weight"),(X,14),(Y,16):}`
X and Y combine to form a new substance Z. If four moles of Y combine with two mole of X to give one mole of Z, then the mass of one mole of Z is

Options

A. 46 g
B. 23 g
C. 92 g
D. 138 g

Explanation

To find the mass of one mole of substance Z formed by the combination of elements X and Y, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Moles and Atomic Weights:**
- Given:
- Atomic weight of X = 14 g/mol
- Atomic weight of Y = 16 g/mol
- From the problem, we know:
- 2 moles of X combine with 4 moles of Y to form 1 mole of Z.

2. **Calculate the Total Atomic Weight of Z:**
- The formula for the mass of Z can be derived from the moles of X and Y that combine:
\[ \text{Mass of Z} = (2 \times \text{Atomic weight of X}) + (4 \times \text{Atomic weight of Y}) \]
- Substituting the values:
\[ \text{Mass of Z} = (2 \times 14) + (4 \times 16) \]

3. **Perform the Calculations:**
- Calculate \(2 \times 14\):
\[ 2 \times 14 = 28 \]
- Calculate \(4 \times 16\):
\[ 4 \times 16 = 64 \]

4. **Add the Results:**
- Now, add the two results together:
\[ \text{Mass of Z} = 28 + 64 = 92 \text{ g/mol} \]

5. **Conclusion:**
- Therefore, the mass of one mole of substance Z is 92 grams.

### Final Answer:
The mass of one mole of substance Z is **92 grams**.