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Which of the next represents the Avogadr...

Which of the next represents the Avogadro number ?

A

Number of molecules present in 1 L of gas at N.T.P.

B

Number of molecules present in 22.4 mL of gas at N.T.P.

C

Number of molecules present in 22.4 L of gas at 298 K and 1 atm. Pressure

D

Number of molecules present in one mole of gas at any temp, and pressure

Text Solution

AI Generated Solution

The correct Answer is:
To determine which option represents Avogadro's number, we need to first understand what Avogadro's number is and how it relates to moles and particles. ### Step-by-Step Solution: 1. **Definition of Avogadro's Number**: - Avogadro's number is defined as the number of particles (atoms, molecules, etc.) in one mole of a substance. - It is approximately equal to \(6.022 \times 10^{23}\) particles. 2. **Understanding Moles**: - One mole of any substance contains Avogadro's number of particles. This means that regardless of the type of gas or substance, one mole will always contain \(6.022 \times 10^{23}\) particles. 3. **Analyzing the Options**: - **Option 1**: "Number of molecules present in one liter of gas at NTP" - This is incorrect because at Normal Temperature and Pressure (NTP), one mole of gas occupies 22.4 liters, not one liter. - **Option 2**: "22.4 ml" - This is also incorrect. The volume of one mole of gas at NTP is 22.4 liters, not milliliters. - **Option 3**: "22.4 liters" - While this is the correct volume for one mole of gas at NTP, it does not represent Avogadro's number directly. - **Option 4**: "The number of molecules present in one mole of a gas at any temperature or pressure" - This is correct because it directly states that one mole contains Avogadro's number of molecules. 4. **Conclusion**: - The correct answer is **Option 4**: "The number of molecules present in one mole of a gas at any temperature or pressure."

To determine which option represents Avogadro's number, we need to first understand what Avogadro's number is and how it relates to moles and particles. ### Step-by-Step Solution: 1. **Definition of Avogadro's Number**: - Avogadro's number is defined as the number of particles (atoms, molecules, etc.) in one mole of a substance. - It is approximately equal to \(6.022 \times 10^{23}\) particles. ...
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