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In chemistry, 'mole' is an essential too...

In chemistry, 'mole' is an essential tool for the chemical calculations. It is a basic SI unit adopted by the `14^(th)` general conference on weights and measurements in 1971. A mole contains as many elementary particles as the number of atoms present in 12 g of `""^(12)C` . 1 mole of a gas at STP occupies 22.4 litre volume. Molar volume of solids and liquids is not definite. Molar mass of a substance is also called gram-atomic mass or gram molecular mass. The virtual meaning of mole is plenty, heap or the collection of large numbers. 1 mole of a substance contains `6.022 xx 10^(23)` elementary particles like atom or molecule. Atomic mass unit (amu) is the unit of atomic mass, e.g., atomic mass of single carbon is 12 amu.
The mass of 1 amu is approximately

A

1 g

B

`0.5g`

C

`1.66xx10^(-24)g`

D

`3.2xx10^(-24)g`

Text Solution

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The correct Answer is:
To find the approximate mass of one atomic mass unit (AMU), we can follow these steps: ### Step 1: Understand the Definition of AMU AMU (Atomic Mass Unit) is defined as 1/12th the mass of a carbon-12 atom. This means that if we know the mass of a carbon-12 atom, we can calculate the mass of 1 AMU. ### Step 2: Know the Molar Mass of Carbon-12 The molar mass of carbon-12 is 12 grams. This means that 12 grams of carbon-12 contains Avogadro's number of atoms, which is approximately \(6.022 \times 10^{23}\) atoms. ### Step 3: Calculate the Mass of One Carbon Atom To find the mass of one carbon atom, we divide the total mass of 12 grams by the number of atoms in that mass: \[ \text{Mass of one carbon atom} = \frac{12 \text{ grams}}{6.022 \times 10^{23} \text{ atoms}} \] ### Step 4: Calculate the Mass of One AMU Since 1 AMU is defined as 1/12th the mass of a carbon-12 atom, we can calculate it as follows: \[ \text{Mass of 1 AMU} = \frac{1}{12} \times \left(\frac{12 \text{ grams}}{6.022 \times 10^{23} \text{ atoms}}\right) \] ### Step 5: Simplify the Calculation This simplifies to: \[ \text{Mass of 1 AMU} = \frac{12 \text{ grams}}{12 \times 6.022 \times 10^{23}} = \frac{1}{6.022 \times 10^{23}} \text{ grams} \] ### Step 6: Final Calculation Calculating this gives: \[ \text{Mass of 1 AMU} \approx 1.66 \times 10^{-24} \text{ grams} \] ### Conclusion Thus, the approximate mass of one atomic mass unit (AMU) is \(1.66 \times 10^{-24}\) grams. ---
To find the approximate mass of one atomic mass unit (AMU), we can follow these steps: ### Step 1: Understand the Definition of AMU AMU (Atomic Mass Unit) is defined as 1/12th the mass of a carbon-12 atom. This means that if we know the mass of a carbon-12 atom, we can calculate the mass of 1 AMU. ### Step 2: Know the Molar Mass of Carbon-12 The molar mass of carbon-12 is 12 grams. This means that 12 grams of carbon-12 contains Avogadro's number of atoms, which is approximately \(6.022 \times 10^{23}\) atoms. ...
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In chemistry, 'mole' is an essential tool for the chemical calculations. It is a basic SI unit adopted by the 14^(th) general conference on weights and measurements in 1971. A mole contains as many elementary particles as the number of atoms present in 12 g of ""^(12)C . 1 mole of a gas at STP occupies 22.4 litre volume. Molar volume of solids and liquids is not definite. Molar mass of a substance is also called gram-atomic mass or gram molecular mass. The virtual meaning of mole is plenty, heap or the collection of large numbers. 1 mole of a substance contains 6.022 xx 10^(23) elementary particles like atom or molecule. Atomic mass unit (amu) is the unit of atomic mass, e.g., atomic mass of single carbon is 12 amu. The mass of one molecule of water is approximately

In chemistry, 'mole' is an essential tool for the chemical calculations. It is a basic SI unit adopted by the 14^(th) general conference on weights and measurements in 1971. A mole contains as many elementary particles as the number of atoms present in 12 g of ""^(12)C . 1 mole of a gas at STP occupies 22.4 litre volume. Molar volume of solids and liquids is not definite. Molar mass of a substance is also called gram-atomic mass or gram molecular mass. The virtual meaning of mole is plenty, heap or the collection of large numbers. 1 mole of a substance contains 6.022 xx 10^(23) elementary particles like atom or molecule. Atomic mass unit (amu) is the unit of atomic mass, e.g., atomic mass of single carbon is 12 amu. XL N_(2) , gas at STP contains 3xx10^(22) molecules. The number of molecules in x L ozone at STP will be

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