Live practice

For 3O₂⇌2O₃, Kc=[O₃]²/[O₂]³. Solve for ozone concentration.

Two H atoms with singly occupied 1s orbitals approach with opposite electron spins. Constructive overlap concentrates electron density between nuclei and lowers energy until the equilibrium H–H distance is reached.

The period corresponds to the highest occupied principal shell in the ground-state configuration.

For a hydrogen-like ion, wavenumber is proportional to Z²(1/n₁²−1/n₂²). Equate the He⁺ and H values.

Use N = nNₐ. A helium atom has a mass of about 4 u, while 1 mol He has a mass of about \(4\,\mathrm{g}\).

Apply the definition or the stated differentiation rules term by term.

Substitution into the original expression verifies the stated domain and final value.

Solve each inequality and take their intersection.

Proceed from the given expression and keep every transformation explicit.

The last line satisfies the required domain and establishes the result.

(i) False: it would require \(a=a^2\), which fails for \(a=2\).

(ii) False: \((4,2)\in R\), but \((2,4)\notin R\).

(iii) False: \((16,4)\in R\) and \((4,2)\in R\), but \((16,2)\notin R\), since \(16 e2^2\).

1. \[\begin{aligned}A' &= U-A\\&= \{5,6,7,8,9\}\end{aligned}\].
2. \(B'=\{1,3,5,7,9\}\).
3. \(A\cup C=\{1,2,3,4,5,6\}\), so \((A\cup C)'=\{7,8,9\}\).
4. \(A\cup B=\{1,2,3,4,6,8\}\), so \((A\cup B)'=\{5,7,9\}\).
5. \[\begin{aligned}(A')' &= A\\&= \{1,2,3,4\}\end{aligned}\].
6. \(B-C=\{2,8\}\), so \((B-C)'=\{1,3,4,5,6,7,9\}\).