Why does copper react with concentrated nitric acid although
copper is less reactive than hydrogen? why can hydrogen react with
iron although it is less reactive (reduction of iron oxide by
hydrogen)?
Regarding hydrogen reacting with iron :
First of all, you probably mean hydrogen reacting with compounds
or oxides of iron (rather than iron itself). At room temperature
and at standard molarities or partial pressures, the reaction will
occur at a negligible rate. So at O levels, it's correct to
say "iron is less reactive than hydrogen", at standard
conditions.
However, when sufficient heat energy is supplied to overcome the
Ea barrier, together with higher molarities or partial pressures of
gaseous hydrogen, then the reaction may proceed (depending on the
exact redox reaction). For industrial and pragmatic
purposes, a transition metal catalyst is almost always employed to
increase the rate of the redox reaction when employing gaseous
hydrogen.
Moreover, if the reaction you're referring to, is the
reduction of iron(III) oxide to iron(II) oxide, then note that
the standard reduction potential of Fe3+ to Fe2+ is +0.77V, and
thus the reaction with gaseous hydrogen is indeed expected to
proceed under standard conditions. If the reaction you're referring
to are the reduction of other metal oxides with hydrogen, then be
aware that as long as the overall redox
potential isn't too negative, some reaction can still occur
with heat and at higher than standard molarities, it's only a
matter of the % yield at equilibrium.
Regarding concentrated nitric acid :
This is because both the cation H+ and the anion NO3- are strong
oxidizing agents, and when both are present in high
molarities, can work together to oxidize even relatively
unreactive metals (ie. with low or slightly
negative oxidation potentials).
The NO3- in nitric(V) acid (ie. with nitrogen having the maximum
OS of +5) can be reduced to species such as HNO2 (OS of +3)
or NH4+ (OS of -3).
For an even more powerful oxidizing agent, which can oxidize
even gold and platinum (which are even less reactive than copper),
see Aqua regia :
http://en.wikipedia.org/wiki/Aqua_regia
The chemistry of Aqua regia involves both redox as well as
coordination complex reactions, and can be used by Cambridge to
craft an excellent and challenging H2 Chemistry A level
exam qn.