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First look in your manual for WoW they will be in there, but if you dont have that then here is the list of racials for you:

Blood Elves

Arcane Affinity - Passive: Enchanting skill increased by 10.
Arcane Torrent - Active: Silences all enemies within 8 yards for 2 sec. In addition, you gain 5 + 1/Level Mana restored per Mana Tap charge currently affecting you - Instant - 2 min cooldown.
ArcaneTorrent - Active (Rogues only): Silences all enemies within 8 yards for 2 sec. In addition, you gain 10 Energy for each Mana Tap charge currently affecting you - Instant - 2 min cooldown.
Magic Resistance - Passive: All resistances increased by 5.
Mana Tap - active: Reduces target's mana by 51 and charges you with Arcane energy for 10 min. This effect stacks up to 3 times. Amount of mana reduced is 50 + 1/Level - 30 yd range - Instant - 30 sec cooldown

Draenei

Gemcutting - passive: Jewelcrafting skill increased by 5.
Gift of the Naaru - active: Heals the target 50 + 15/Level over 15 sec - 40 yd range - 1.5 sec cast - 3 min cooldown
Inspiring Presence - passive (Mages/Priests/Shaman only): Increases the chance to hit with spells by 1% for you and all party members within 30 yards.
Heroic Presence - passive (Hunters/Paladins/Warriors only):: Increases chance to hit by 1% for you and all party members within 30 yards.
Shadow Resistance - passive: Shadow Resistance increased by 10.

Dwarves

Stoneform - active: While active, grants immunity to Bleed, Poison, and Disease effects. In addition, Armor increases by 10%. Lasts 8 sec. - 3 min cooldown
Gun Specialization - passive: Your chance to critically hit with Guns is increased by 1%
Frost Resistance - passive: All Dwarves get +10 Frost Resistance
Treasure Finding - passive: Activate to see treasure chests on mini map - lasts until canceled - no cooldown

Gnomes

Escape Artist - active: Escape the effects of any immobilization or movement speed reduction effect - 1 min, 45 sec cooldown
Expansive Mind - passive: Increase Intelligence by 5%
Arcane Resistance - passive: All Gnomes get +10 Arcane Resistance
Technologist - passive: 15 skill bonus to Engineering

Humans

Perception - active: Activate to dramatically increase stealth detection - Lasts 20 sec - 3 min cooldown
The Human Spirit - passive: Increase Spirit by 10%
Diplomacy - passive: 10% bonus to faction point gain
Sword Specialization - passive: Critical strike chance with Swords and Two-Handed Swords increased by 1%
Mace Specialization - passive: Critical strike chance with Maces and Two-Handed Maces increased by 1%

Night Elves

Shadowmeld - active: Activate while immobile and out of combat to enter stealth mode - lasts until canceled - no cooldown
Quickness - passive: Dodge chance increased by 1%
Wisp Spirit - passive: Become a wisp when dead with movement speed increase of 50% (25% faster than normal ghost)
Nature Resistance - passive: All Night Elves get +10 Nature Resistance

Orcs

Blood Fury - active: Increases attack power by 6, but reduces healing effects on you by 50%. Last 15 seconds. Scales with level.
Hardiness - passive: 25% resistance to stun and knockout effects.
Command - passive: Pet melee damage increased by 5%.
Axe Specialization - passive: Critical strike chance with Axes and Two-Handed Axes increased by 1%

Tauren

War Stomp - active: Activate to stun up to 5 opponents within 8 yards - lasts 2 sec - 2 min cooldown
Endurance - passive: Max Health increased by 5%
Cultivation - passive: 15 skill bonus to Herbalism
Nature Resistance - passive: All Tauren get +10 Nature Resistance 
 
Trolls

Berserking - active: Increases your attack speed by 10% to 30%. At full health the speed increase is 10% with a greater effect up to 30% if you are badly hurt when you activate Berserking. Lasts 10 sec.
Regeneration - passive: 10% health regen bonus, 10% active in combat
Beast Slaying - passive: 5% damage bonus to Beasts
Throwing Weapon Specialization - passive: Your chance to critically hit with Throwing Weapons is increased by 1%
Bow Specialization - passive: Your chance to critically hit with Bows is increased by 1%.

Undead

Will of the Forsaken - active: Activate to become immune to Fear, Sleep, and Charm effects. Can also be used while already afflicted by Fear or Sleep - lasts 5 sec - 2 min cooldown 
Cannibalize - active: Activate to regenerate 7% of total health every 2 sec. by consuming Humanoid or Undead corpses within 5 yds - lasts 10 sec - 2 min cooldown
Underwater Breathing - passive: Underwater breath lasts 300% longer than normal
Shadow Resistance - passive: All Undead get +10 Shadow Resistance

I found all these on the WoW-Europe Website under Races

Another good source of information is WoW Wiki:
Information about the races
Details of racial abilities/traits