Mass of one atom of an element is 8.64×`10^(−23)`g. This is equal to :

Options

A. 64u
B. 478u
C. 52u
D. 8.64u

Explanation

To find the equivalent mass in grams per mole (molar mass) from the mass of one atom of an element, we can follow these steps:

### Step 1: Understand the relationship between atomic mass and molar mass
The mass of one atom can be converted to molar mass using Avogadro's number. Avogadro's number (NA) is approximately \(6.02 \times 10^{23}\) atoms/mole.

### Step 2: Use the formula to calculate molar mass
The formula to calculate the molar mass (M) from the mass of one atom (m) is given by:
\[ M = NA \times m \]
where:
- \(M\) is the molar mass in grams per mole (g/mol),
- \(NA\) is Avogadro's number (\(6.02 \times 10^{23}\) atoms/mole),
- \(m\) is the mass of one atom in grams.

### Step 3: Substitute the values into the formula
Given that the mass of one atom \(m = 8.64 \times 10^{-23}\) g, we can substitute this value into the formula:
\[ M = (6.02 \times 10^{23} \text{ atoms/mole}) \times (8.64 \times 10^{-23} \text{ g}) \]

### Step 4: Perform the calculation
Now, we calculate:
\[ M = 6.02 \times 8.64 \text{ g} \]
Calculating this gives:
\[ M = 52.0 \text{ g/mol} \]

### Step 5: Conclusion
The molar mass of the element is \(52.0 \text{ g/mol}\), which is also equivalent to \(52 \text{ u}\) (unified atomic mass units).

### Final Answer
The mass of one atom of the element is equal to \(52 \text{ g/mol}\).

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