Am I entitled to get a fresh bank note?

I have a £5 note in terrible condition. It's sellotaped in the middle to prevent it falling apart ripped at the sides and really fragile without that "crisp" feel anymore. I have a feeling some people might not like to accept this note, so am I entitled to go to my bank and change it for a fresh note?

I know they regularly replace old notes when they are passed through their system.