Position a cold chisel into the weak and crumbling sections of mortar and strike solidly with a hammer. Remove approximately 1 inch of mortar from the joints on the chimney or until you reach solid mortar.
Sweep out the chiseled mortar with a wire brush.
Mix together 10 parts washed sand, 5 parts lime and 1 part cement in a plastic bucket with a shovel.
Add water to the lime, cement and sand in small batches and mix continuously until the mortar is the consistency of peanut butter.
Dampen the joints in the chimney with water. This will help the new mortar to set properly.
Lift the mortar out of the bucket with a pointed trowel and spread it in a 1/4-inch layer in the chimney joints. Be sure to pack the mortar firmly. Wait approximately 15 minutes until this first layer partially dries, then add 1/4-inch layers of mortar to the joints until the mortar is level with the bricks. Be sure to wait 15 minutes between each layer of mortar.