The comedian - who died aged 56 on Monday (June 9) - will feature in a classic episode of Bottom at 10.30pm, in place of a Qi repeat.
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The first series episode 'Gas' originally aired on the channel back in 1991.
'Gas' features Richie (Mayall) and Eddie (Ade Edmondson) being caught for stealing next door's gas supply, before seemingly beating the gas man to death with frying pans.
BBC Two will also broadcast a repeat of Comedy Connections: The Young Ones at 11pm. The special looks back at the classic 1980s sitcom, featuring archive interviews with Mayall.
Rik Mayall 1958-2014 obituary: A true one-off and comedy eccentric
Mayall's wife Barbara stated yesterday (June 12) that her husband died after suffering an "acute cardiac event".
The late comic is