A charitable donation almost never changes your tax due or refund all by itself. First, your donation does not count "dollar for dollar"--it is calculated by a percentage based on your tax bracket. You need a LOT of other itemized deductions like mortgage interest or property taxes, medical expense, etc. to itemize and exceed your standard deduction.
2016 Standard Deductions
Single $6300 (65 or older + $1550)
Married Filing Separately $6300 (65 or older + $1250)
Married Filing Jointly $12,600 (65 or older + $1250@)
Head of Household $9300 (65 or older + $1550)