This is probably the most "poached" of all the Chulahoma tabs I've done. It's based on a tab that's been floating around out there for while. I'd give credit, but there's no name or email address on it.
I got as far as about 3/4 through the solo. At a certain point, Dan is improvising so much that it's tough to follow. But you get the idea.
Speaking of the solo, he might play it on the B string around the 8th fret instead of the way I tabbed it. But who knows.
Enjoy. 
Have Mercy On Me
The Black Keys
Chulahoma
(J. Kimbrough)
Standard tuning
With distortion
Intro:
E --------------------------------------------------------------------------|
B ----------------------------------5h7-5-3p0---------0h2-------------------|
G ------------------------------------------------0h2-----0h2p0-------------|
D --------------------------5--7b-—------------------------------2----------|
A ---------------------5h7--------------------------------------------------|
E -12\---3b-------5h7-------------------------------------------------------|
E --------------------------------------------------------------------------|
B --------------------------------------------------------------------------|
G --------------------------------------------------------------------------|
D -----------5--5h7p5----5-----------------5--------------------------------|
A -------5h7----------7----------------5h7-----7--5-------------------------|
E ---5h7---------------------------5h7---------------7--5--3b---------------|
Main theme:
E --------------------------------------------------------------------------|
B --------------------------------------------------------------------------|
G --------------------------------------------------------------------------|
D ---------------------5----------------------------------------------------|
A ------7--5-----5--7-----7-------------------------------------5-----------|
E ---0--------7-------------------3------5--3--5--3--5--3--5/7--------------|
E --------------------------------------------------------------------------|
B --------------------------------------------------------------------------|
G --------------------------------------------------------------------------|
D ---------------------5----------------------------------------------------|
A ------7--5-----5--7-----7-------------------------------5-----------------|
E ---0--------7-------------------3------5--3--5--3--5/7-----7--5-----------|
E -----------------------------------------------------------3--------------|
B -----------------------------------------------------3--5-----5--3p0------|
G ----------------------------------------------------------------------2p0-|
D ---------------------5------—------------7--------------------------------|
A ---------------5--7-----7--5-------------7--------------------------------|
E ----0---3/5h7---------------7--5\3--5----5--------------------------------|
E --------------------------------------------------------------------------|
B --------------------------------------------------------------------------|
G --------------------------------------------------------------------------|
D --------------------5-----------------------------------------------------|
A ------7--5-----5--7----7--------------------------------------------------|
E ---0--------7-------------------3------5--3--5--3--5--3--5--3-------------|
E --------------------------------------------------------------------------|
B --------------------------------------------------------------------------|
G --------------------------------------------------------------------------|
D ---------------------5h7p5------------------------------------------------|
A ------7--5-----5--7---------7---------------------------5-----------------|
E ---0--------7-------------------3------5--3--5--3--5/7-----7--5-----------|
E --------------------------------------------------------------------------|
B --------------------------------------------------------------------------|
G --------------------------------------------------------------------------|
D ------------------5------—--------------9---------------7-----------7-----|
A -------------5h7-------7--5-------------9---------------7-----------7-----|
E ---0---5h7------------------7--5/7--7---7------------5--5-----0--5--5-----|
E --------------------------------------------------------------------------|
B --------------------------------------------------------------------------|
G --------------------------------------------------------------------------|
D --------------------—-----------------------------------------------------|
A ---5h7--5-----------------------------------------------------------------|
E -----------7--5\3p0h3--0--------------------------------------------------|
(Organ joins in)
E --------------------------------------------------------------------------|
B --------------------------------------------------------------------------|
G --------------------------------------------------------------------------|
D --------------------5-----------------------------------------------------|
A ------7--5-----5--7----7----------------------------------------5---------|
E ---0--------7-------------------3------5p3h5--3-------5p3--5/7------------|
E --------------------------------------------------------------------------|
B --------------------------------------------------------------------------|
G --------------------------------------------------------------------------|
D --------------------------5-----------------------------------------------|
A ------7--5-----5----------------------------------------------------------|
E ---0--------7-------------------3------5p3h5--3-------5p3--5/7\5p3--------|
E --------------------------------------------------------------------------|
B --------------------------------------------------------------------------|
G --------------------------------------------------------------------------|
D ------------------5------—------------7------------------7----------------|
A -------------5h7-----7--5-------------7------------------7----------------|
E ----0---5h7----------------7-----5----5------------0--5--5----------------|
"Done anybody wrong…"
E --------------------------------------------------------------------------|
B --------------------------------------------------------------------------|
G ----(6)-------------------------------------------------------------------|
D -----7--------------—-----------------------------------------------------|
A -----7--------------------------------------------------------------------|
E -----5--------------------------------------------------------------------|
E --------------------------------------------------------------------------|
B -----5h7p5\3--0-----------------------------------------------------------|
G -----------------2--0-----------------------------------------------------|
D --------------------—-----------------------------------------------------|
A --------------------------------------------------------------------------|
E --------------------------------------------------------------------------|
E --------------------------------------------------------------------------|
B --------------------------------------------------------------------------|
G --------------------------------------------------------------------------|
D --------------------5-----------------------------------------------------|
A ------7--5-----5--7----7----------------------------------------5---------|
E ---0--------7-------------------3------5p3h5--3-------5p3--5/7------------|
E --------------------------------------------------------------------------|
B --------------------------------------------------------------------------|
G --------------------------------------------------------------------------|
D ---------------------5h7p5------------------------------------------------|
A ------7--5-----5--7---------7---------------------------------------------|
E ---0--------7--------------------3------5--3--5--3--5--3--5--3------------|
"If I done anybody wrong…"
E --------------------------------------------------------------------------|
B --------------------------------------------------------------------------|
G --------------------------------------------------------------------------|
D ------------------5------—------------7------------------7----------------|
A -------------5h7-----7--5-------------7------------------7----------------|
E ----0---5h7----------------7-----5----5------------0--5--5----------------|
"Have mercy on me…"
E --------------------------------------------------------------------------|
B --------------------------------------------------------------------------|
G --------------------------------------------------------------------------|
D --------------------—-----------------------------------------------------|
A ---5h7--5-----------------------------------------------------------------|
E -----------7--5\3---------------------------------------------------------|
E --------------------------------------------------------------------------|
B --------------------------------------------------------------------------|
G --------------------------------------------------------------------------|
D --------------------5-----------------------------------------------------|
A ------7--5-----5--7----7----------------------------------------5---------|
E ---0--------7-------------------3------5p3h5--3-------5p3--5/7------------|
E --------------------------------------------------------------------------|
B --------------------------------------------------------------------------|
G --------------------------------------------------------------------------|
D ---------------------5h7p5------------------------------------------------|
A ------7--5-----5--7---------7---------------------------5-----------------|
E ---0--------7-------------------3------5--3--5--3--5/7-----7--5-----------|
"If I done anybody wrong…"
E --------------------------------------------------------------------------|
B --------------------------------------------------------------------------|
G --------------------------------------------------------------------------|
D ------------------5------—--------------9---------------7-----------7-----|
A -------------5h7-------7--5-------------9---------------7-----------7-----|
E ---0---5h7------------------7--5/7--7---7--------0---5--5-----0--5--5-----|
"Have mercy on me…"
E --------------------------------------------------------------------------|
B --------------------------------------------------------------------------|
G --------------------------------------------------------------------------|
D --------------------—-----------------------------------------------------|
A ---5h7--5-----------------------------------------------------------------|
E -----------7--5\3---------------------------------------------------------|
Solo:
E ---3h5----5/7--3--5--3--5/7\5--3---------------3h5------------------------|
B ----------------------------------3-------3h5-------3--3h5----------------|
G --------------------------------------------------------------------------|
D --------------------—-----------------------------------------------------|
A --------------------------------------------------------------------------|
E --------------------------------------------------------------------------|
E --------------------------------------------------3-----------------------|
B ---------------3--5-------------------------3--5-----5--------------------|
G ----0--2/4--4--------4--0--2-----------2/4--------------------------------|
D --------------------—-----------------------------------------------------|
A --------------------------------------------------------------------------|
E --------------------------------------------------------------------------|
E ----5----3--5/7--3----3h5--3----------10--7\5\3--3h5----3-----3-----------|
B --------------------5---------5----------------------------5--------------|
G --------------------------------------------------------------------------|
D --------------------—-----------------------------------------------------|
A --------------------------------------------------------------------------|
E --------------------------------------------------------------------------|
E -----3--5--3h5--3h5--3h5--3h5--3--5/7\5--3--------------------------------|
B --------------------------------------------5------------3--3h5-----------|
G --------------------------------------------------------------------------|
D --------------------—-----------------------------------------------------|
A --------------------------------------------------------------------------|
E --------------------------------------------------------------------------|
E -----3-----3h5--3-----------------/10-10-10-10-10/12--7h10p7\5\3--3h5-----|
B -------------------5------------------------------------------------------|
G --------------------------------------------------------------------------|
D --------------------—-----------------------------------------------------|
A --------------------------------------------------------------------------|
E --------------------------------------------------------------------------|
E -----3-----5/7--3--5-----3------------------------------------------------|
B ----------------------5-----5--3--3--3h5----------------------------------|
G --------------------------------------------------------------------------|
D --------------------—-----------------------------------------------------|
A --------------------------------------------------------------------------|
E --------------------------------------------------------------------------|
And so on and so on… You get the idea. Then comes the lick from the main theme, but in the solo octave:
E -------------------3------------------------------------------------------|
B ----5--3-----3--5-----5---------------------------------------------------|
G ----------4---------------------------------------------------------------|
D --------------------—-----------------------------------------------------|
A --------------------------------------------------------------------------|
E --------------------------------------------------------------------------|