MCQEasyJEE 2024Group 17 Elements

JEE Chemistry 2024 Question with Solution

Molar mass of the salt from NaBr\text{NaBr}, NaNO3\text{NaNO}_3, KI\text{KI}, and CaF2\text{CaF}_2 which does not evolve colored vapours on heating with concentrated H2SO4\text{H}_2\text{SO}_4 is:

  • A

    78g/mol78 \, \text{g/mol}

  • B

    88g/mol88 \, \text{g/mol}

  • C

    98g/mol98 \, \text{g/mol}

  • D

    108g/mol108 \, \text{g/mol}

Answer

Correct answer:A

Step-by-step solution

Standard Method

Given: The salts are NaBr\text{NaBr}, NaNO3\text{NaNO}_3, KI\text{KI}, and CaF2\text{CaF}_2. We need the salt that does not evolve colored vapours on heating with concentrated H2SO4\text{H}_2\text{SO}_4.

Find: The molar mass of that salt.

From the solution discussion:

  • NaBr\text{NaBr} releases Br2\text{Br}_2, which gives colored vapours.
  • KI\text{KI} releases I2\text{I}_2, which gives colored vapours.
  • NaNO3\text{NaNO}_3 is mentioned as giving NO2\text{NO}_2 in the alternate approach, which is also colored.
  • CaF2\text{CaF}_2 does not evolve colored vapours with concentrated H2SO4\text{H}_2\text{SO}_4.

Now calculate the molar mass of CaF2\text{CaF}_2:

Molar mass=40+2×19\text{Molar mass} = 40 + 2 \times 19 =40+38=78g/mol= 40 + 38 = 78 \, \text{g/mol}

Therefore, the molar mass of the required salt is 78g/mol78 \, \text{g/mol}. The correct option is A.

Elimination by colored vapours

Given: Heating the salts with concentrated H2SO4\text{H}_2\text{SO}_4.

Find: Which salt does not evolve colored vapours, and then its molar mass.

Use elimination first:

NaBrBr2\text{NaBr} \rightarrow \text{Br}_2 KII2\text{KI} \rightarrow \text{I}_2

Both Br2\text{Br}_2 and I2\text{I}_2 are colored vapours, so these are rejected.

The second approach in the solution states:

NaNO3NO2\text{NaNO}_3 \rightarrow \text{NO}_2

So NaNO3\text{NaNO}_3 is also not the required salt in the final selection. Hence the remaining salt is CaF2\text{CaF}_2.

Its molar mass is:

40+2×19=78g/mol40 + 2 \times 19 = 78 \, \text{g/mol}

Therefore, the correct option is A.

Common mistakes

  • Choosing NaBr\text{NaBr} or KI\text{KI} by ignoring that they produce Br2\text{Br}_2 and I2\text{I}_2 respectively. These are colored vapours, so they must be eliminated first.

  • Calculating the molar mass incorrectly for CaF2\text{CaF}_2 by taking only one fluorine atom. The formula has two fluorine atoms, so use 40+2×1940 + 2 \times 19.

  • Marking NaNO3\text{NaNO}_3 because its molar mass is close to one of the choices without checking the gas evolved in the provided solution. The identification of the salt must come before matching the option.

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