A student determines that an aqueous solution that contains 0.302 M sodium fluoride and 0.103 M hydrofluoric acid, also has a H3O+ concentration of 2.95×10-4 M. Based on these data, calculate the value of the equilibrium constant K for the equilibrium: HF(aq) + H2O H3O+(aq) + F-(aq)

(1) as is usually done, without the inclusion of water in the expression for K: K =

(2) for comparison, with the inclusion of water in the expression for K: K

a sequence is a function whose domain is the set of natural numbers.

natural numbers are all the negative and positive integers

if two electrons have the same n, the same ℓ, and the same ml, then they are in the same orbital. the pauli exclusion principle states that no two identical fermions (a fancy word for electrons and other subatomic particles like electrons) may occupy the same quantum state in an atom simultaneously.

water at room temperature is flowing through a pipe with pressure taps located 10 ft apart along one section of the pipe, which are connected to a mercury (s=13.6) manometer.