It is good thing to be specific in prayer. For one thing, it requires thought. What we pray about we should think about. For another, it links the temporal to the eternal---the long list of seemingly impossible tasks to be done or people to be helped is brought before the God of all the Universe. In His presence the needs are seen in a different light. For yet a third reason, we are more apt to expect answers when we ask for definite things.
Often however, we simply do not know what to ask. Someone’s name is brought to the memory with great insistence, a situation looks hopeless and we cannot imagine what even God could do about it----at such times it is a great comfort to know that even the unspecific (even the vague) prayers of an attentive heart are accepted. And the Holy Spirit “within us is actually praying for us in those agonizing longings which never find words” (Romans 8:26, PHILLIPS)
The Music of His Promises by Elisabeth Elliot