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1 g-atom of nitrogen represents...

1 g-atom of nitrogen represents

A

`6.02xx10^(23) N_(2)` molecules

B

`22*4 L` of `N_(2)` at S.T.P.

C

`11*2 L` of `N_(2)` at S.T.P.

D

28 g of nitrogen

Text Solution

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The correct Answer is:
To solve the problem of determining what 1 gram atom of nitrogen represents, we need to understand the concept of gram atoms and how it relates to Avogadro's number and molar volume at standard temperature and pressure (STP). ### Step-by-Step Solution: 1. **Definition of Gram Atom:** - 1 gram atom of an element is the amount of the element whose mass in grams is numerically equal to its atomic mass. - For nitrogen (N), the atomic mass is 14 grams per mole. 2. **Avogadro's Number:** - Avogadro's number (NA) is \(6.02 \times 10^{23}\) atoms/molecules per mole. - Therefore, 1 gram atom of nitrogen contains \(6.02 \times 10^{23}\) nitrogen atoms. 3. **Molecular Form of Nitrogen:** - Nitrogen naturally exists as a diatomic molecule (N2). - Hence, 1 mole of N2 contains \(6.02 \times 10^{23}\) molecules of N2. 4. **Conversion to Molecules of N2:** - Since 1 gram atom of nitrogen (N) is equivalent to 1 mole of nitrogen atoms, and each N2 molecule contains 2 nitrogen atoms: \[ \text{Number of } N2 \text{ molecules} = \frac{6.02 \times 10^{23} \text{ atoms}}{2} = 3.01 \times 10^{23} \text{ molecules of N2} \] 5. **Moles of N2:** - Therefore, 1 gram atom of nitrogen corresponds to 0.5 moles of N2 because: \[ 1 \text{ mole of N2} = 2 \text{ moles of N} \] \[ 0.5 \text{ moles of N2} = 1 \text{ mole of N} \] 6. **Volume at STP:** - At STP (Standard Temperature and Pressure), 1 mole of any gas occupies 22.4 liters. - Therefore, 0.5 moles of N2 will occupy: \[ \text{Volume} = 0.5 \times 22.4 \text{ liters} = 11.2 \text{ liters} \] ### Conclusion: 1 gram atom of nitrogen represents: - \(6.02 \times 10^{23}\) nitrogen atoms. - \(3.01 \times 10^{23}\) molecules of N2. - 0.5 moles of N2. - 11.2 liters of N2 gas at STP. Thus, the correct answer is: **11.2 liters of nitrogen gas at STP**.

To solve the problem of determining what 1 gram atom of nitrogen represents, we need to understand the concept of gram atoms and how it relates to Avogadro's number and molar volume at standard temperature and pressure (STP). ### Step-by-Step Solution: 1. **Definition of Gram Atom:** - 1 gram atom of an element is the amount of the element whose mass in grams is numerically equal to its atomic mass. - For nitrogen (N), the atomic mass is 14 grams per mole. ...
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1 g atom of nitrogen contains 6.023 xx 10^(23) atoms of nitrogen.

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Knowledge Check

  • 1 g of nitrogen represents :

    A
    `6.02xx10^(23)N_(2)` molecules
    B
    22.4 litre of `N_(2)` at 1 atm and 273 K
    C
    11.2 litre of `N_(2)` at 1 atm and 273 K
    D
    14 g of nitrogen
  • 1gm-atom of nitrogen may represent:

    A
    `6.02 xx 10^(23) N_(2)` molecules
    B
    `22.4 lit`of `N_(2)` at 1 atm and `0^(@)C`
    C
    11.2 lit. of `N_(2)` at 1 atm and `0^(@)`C
    D
    22 g of nitrogen
  • 1 gm -atom of nitrongen may represents

    A
    `6.02xx10^(23) N_(2)` molcules
    B
    22.4 lit , of `N_(2)` at 1 atm & 273 K
    C
    11.2 lit, of `N_(2)` at 1 atm & `0^(@)C`
    D
    28 g of nitrogen
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