bash: variables into sed expressions

Question

I am using sed to replace all lines in the txt file matching the selected patterns in each line

#make 2 substitutions with sed
sed 's|\/Volumes/Macintosh HD 2/Analys/output/CNE/RG/||; s|\.log||'

where I need to replace the path "/Volumes/Macintosh HD 2/Analys/output/CNE/RG/"

However, if I define the path into variable set in bash script

path_to_replace='/Volumes/Macintosh HD 2/Analys/output/CNE/RG/'

and then to use it with sed

sed 's|\"${path_to_replace}"||; s|\.log||'

sed do nothing. How the variable could be properly used with the sed function?