If Avogadro number `N_(A)` is changed from `6.022 xx 10^(23) mol^(-1)` to `6.022 xx 10^(20) mol^(-1)`, this would change

Options

A. The ratio of chemical species to each other in a balanced equation
B. The ratio of elements to each other in a compound
C. The definition of mass in units of grams
D. The mass of one mole of carbon

Answer

To analyze the effect of changing Avogadro's number \( N_A \) from \( 6.022 \times 10^{23} \, \text{mol}^{-1} \) to \( 6.022 \times 10^{20} \, \text{mol}^{-1} \), we can follow these steps:

### Step 1: Understand Avogadro's Number
Avogadro's number \( N_A \) represents the number of particles (atoms, molecules, etc.) in one mole of a substance. The standard value is \( 6.022 \times 10^{23} \, \text{mol}^{-1} \).

### Step 2: Calculate the Number of Particles in One Mole
Using the standard value:
- For \( N_A = 6.022 \times 10^{23} \, \text{mol}^{-1} \):
- One mole of any substance contains \( 6.022 \times 10^{23} \) particles.

Using the new value:
- For \( N_A = 6.022 \times 10^{20} \, \text{mol}^{-1} \):
- One mole of any substance would contain \( 6.022 \times 10^{20} \) particles.

### Step 3: Compare the Two Values
Now, we can compare the two values:
- The original Avogadro's number indicates that one mole contains \( 6.022 \times 10^{23} \) particles.
- The new Avogadro's number indicates that one mole contains \( 6.022 \times 10^{20} \) particles.

### Step 4: Determine the Change in the Concept of Moles
Since the number of particles per mole has decreased significantly (by a factor of \( 10^3 \)), this change implies:
- If we were to measure out one mole of a substance, we would now have significantly fewer particles than before.
- This would affect calculations involving the amount of substance, concentrations, and stoichiometry in chemical reactions.

### Conclusion
Changing Avogadro's number from \( 6.022 \times 10^{23} \, \text{mol}^{-1} \) to \( 6.022 \times 10^{20} \, \text{mol}^{-1} \) would fundamentally alter the number of particles in a mole, affecting all calculations related to moles in chemistry.

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