Live practice

Translate every condition into an equation and retain exact values throughout the straight-line calculation.

The last line satisfies the original conditions and supplies every requested part.

Use the sequence definition or geometric-progression formula, keeping the first-term offset explicit.

The displayed substitutions cover every requested part and verify the result against the original data.

Proceed from the given expression and keep every transformation explicit.

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

Proceed from the given expression and keep every transformation explicit.

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

Proceed from the given expression and keep every transformation explicit.

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

The elements are covalently bonded and do not furnish ions directly in water. Hot sodium cleaves the organic structure and forms ionic salts.

For each proposed reaction, (E^circ_{cell}=E^circ_{cathode}-E^circ_{anode}). A positive value indicates a feasible spontaneous reaction under standard conditions.

(a) (E^circ=0.77-0.54=+0.23,mathrm{V}). Hence (mathrm{Fe^{3+}}) oxidises (mathrm{I^-}); the reaction is feasible.

(b) (E^circ=0.80-0.34=+0.46,mathrm{V}). Hence (mathrm{Ag^+}) oxidises Cu; the reaction is feasible.

(c) (E^circ=0.77-0.34=+0.43,mathrm{V}). Hence (mathrm{Fe^{3+}}) oxidises Cu; the reaction is feasible.

(d) For Ag to be oxidised while (mathrm{Fe^{3+}}) is reduced, (E^circ=0.77-0.80=-0.03,mathrm{V}). The reaction is not feasible as written.

(e) (E^circ=1.09-0.77=+0.32,mathrm{V}). Hence (mathrm{Br_2}) oxidises (mathrm{Fe^{2+}}); the reaction is feasible.

Higher pressure shifts equilibrium toward fewer gaseous moles; it has no effect when gas mole counts are equal.

B in planar BF₃ is sp² and becomes tetrahedral sp³ after accepting the N lone pair. N is already sp³ in NH₃; its lone-pair hybrid becomes the coordinate bond without changing the set.