1 erg of energy corresponds to

Options

A. `6.02 xx 10^(23)J//mol`
B. `6.02 xx 10^(16)J//mol`
C. 1erg/mol
D. `10^(-7) J//mol`

Explanation

To solve the question "1 erg of energy corresponds to", we will follow these steps:

### Step 1: Understand the relationship between erg and joule
1 erg is defined as \(1 \text{ erg} = 10^{-7} \text{ joules}\).

### Step 2: Calculate energy in terms of moles
To find out how much energy corresponds to 1 mole, we use Avogadro's number, which is \(N_A = 6.02 \times 10^{23}\) particles/mole.

### Step 3: Multiply the energy per erg by Avogadro's number
The total energy for 1 mole in joules can be calculated as:
\[ \text{Energy per mole} = N_A \times \text{Energy per erg} \]
Substituting the values:
\[ \text{Energy per mole} = 6.02 \times 10^{23} \text{ particles/mole} \times 10^{-7} \text{ joules/erg} \]

### Step 4: Perform the calculation
Calculating the above expression:
\[ \text{Energy per mole} = 6.02 \times 10^{23} \times 10^{-7} = 6.02 \times 10^{16} \text{ joules/mole} \]

### Step 5: Conclusion
Thus, 1 erg of energy corresponds to \(6.02 \times 10^{16}\) joules per mole.

### Final Answer
1 erg of energy corresponds to \(6.02 \times 10^{16}\) joules per mole.

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