As soon as the first cutscene for this mission (http://masseffect.wikia.com/wiki/Attican_Traverse:_Krogan_Team) is played, all game audio cuts out after the first line of dialogue. After the cutscene, the screen goes black but appropriate sound effects are heard if a gun is fired or a power is used. Hitting escape allows access to the menu, but selecting any option will crash the game, requiring a force close of ME3.
This is the only mission that causes this strange behavior. Until a fix is found I'll just avoid it, but I hadn't seen anyone else report such a specific problem so... yeah.