A current ASIC bitcoin miner will do 90 Terahashes per second (1 Terahash = 1 trillion hashes) while consuming 3420 Watts which is equivalent to 38 Watts per Terahash (38 W/TH). Average power consumption will be higher, though those with big dedicated rigs probably make up the bulk of the network's processing power.
The entire bitcoin mining network which processes all transactions does 120 Exahashes (120,000,000 terahashes) per second. Were all mining done on comparable asics this would be 4.56 GW to run the whole network, which in turn means electricity consumption would be 4.56 million kwh per hour. At the time of this writing bitcoin is averaging 14,814 transactions per hour, meaning the average electricity consumption per transaction is 308 kwh. I could easily see the average hash efficiency for the whole network being half of what a 2020 dedicated mining rig can do.
Do note that this is transaction processing on bitcoin proper, which is artificially limited to processing less than 7 transactions per second. There are lots of things that we would think of as transactions that don't have to go into this number. For example if you have a trusted marketplace, you can have all the transactions which take place within the marketplace in a given time period lumped together as a single transaction, and thus you only need to do a "real" transaction when you deposit or withdraw money from that market. This is the concept behind many cryptocurrencies meant to "speed up" bitcoin. So really it's not so much a 5 hour flight every time you use a credit card, but a 5 hour flight every time you get a new credit card - still inefficient, but far less extreme.