Mass of 1 amu in g

Options

A. `1.66 x 10^(24)`
B. `1.66 x 10^(-24)`
C. 1.008
D. `9.1 xx 10^(-28)`

Answer

To find the mass of 1 atomic mass unit (amu) in grams, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding AMU**:
- AMU stands for atomic mass unit. It is defined based on the mass of carbon-12 (C-12) isotope.

2. **Mass of Carbon-12**:
- The mass of one mole of carbon-12 (C-12) is 12 grams.

3. **Number of Atoms in One Mole**:
- One mole of any substance contains Avogadro's number of particles, which is approximately \(6.022 \times 10^{23}\) atoms.

4. **Calculating the Mass of One C-12 Atom**:
- To find the mass of a single C-12 atom, we divide the total mass of one mole of C-12 by Avogadro's number:
\[ \text{Mass of one C-12 atom} = \frac{12 \text{ grams}}{6.022 \times 10^{23} \text{ atoms}} \]

5. **Performing the Calculation**:
- Performing the division:
\[ \text{Mass of one C-12 atom} \approx 1.993 \times 10^{-23} \text{ grams} \]

6. **Converting to AMU**:
- By definition, 1 amu is equal to the mass of one C-12 atom, which we calculated above. Therefore, 1 amu is approximately \(1.993 \times 10^{-23}\) grams.

7. **Final Result**:
- The mass of 1 amu in grams is approximately \(1.66 \times 10^{-24}\) grams.

### Conclusion:
Thus, the mass of 1 amu in grams is approximately \(1.66 \times 10^{-24}\) grams.

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