NVAEasyJEE 2025Oxidation States & Ionisation Energies

JEE Chemistry 2025 Question with Solution

Niobium (Nb) and ruthenium (Ru) have "xx" and "yy" number of electrons in their respective 4d4d orbitals. The value of x+yx + y is:

Answer

Correct answer:11

Step-by-step solution

Standard Method

Given: Niobium (Nb) and ruthenium (Ru) have xx and yy electrons in their respective 4d4d orbitals.

Find: The value of x+yx + y.

Use the electronic configurations of the two elements.

For Nb with atomic number 4141:

[Kr]4d45s1[Kr] \, 4d^4 5s^1

So, x=4x = 4.

For Ru with atomic number 4444:

[Kr]4d75s1[Kr] \, 4d^7 5s^1

So, y=7y = 7.

Now add the number of 4d4d electrons:

x+y=4+7=11x + y = 4 + 7 = 11

Therefore, the value of x+yx + y is 1111.

Using Electron Configuration Directly

Given: xx is the number of electrons in the 4d4d orbitals of Nb, and yy is the number of electrons in the 4d4d orbitals of Ru.

Find: x+yx + y.

Niobium (Nb) has configuration [Kr]4d45s1[Kr] \, 4d^4 5s^1, so the number of electrons in 4d4d is 44.

Ruthenium (Ru) has configuration [Kr]4d75s1[Kr] \, 4d^7 5s^1, so the number of electrons in 4d4d is 77.

Hence,

x+y=4+7=11x + y = 4 + 7 = 11

Therefore, the required numerical value is 1111.

Common mistakes

  • Confusing the total valence electrons with only the electrons in the 4d4d orbitals. The question asks specifically for 4d4d electrons, so count only the exponent of 4d4d in the electronic configuration.

  • Using the idealized Aufbau filling without checking the actual ground-state configuration of transition elements. For Nb and Ru, use their accepted configurations as given in the periodic table.

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