First of all,you need extension air hose for your hood,that hose is short.First,I suggest you cut the end of the hose with a hose cutter:
View attachment 116806
Wide range of Tube Cutters. 15.000 products in stock and same day shipment
tameson.com
You have 3 options for connecting your two hoses together.I assume that the hose size of your hood and your extension hose is 1/4 inch(6.3 mm ID and 13.5 mm OD),otherwise you should measure the inner and outside diameter size of the hose with a caliper.
(The size of the barbed side of the hose barb or hose barb plug/coupler depends on the inside diameter of the hose you want to use.)
Option 1:
1 double hose barb+2 hose clamps
https://tameson.com/products/f295e-6-mm-1-4inch-stainless-steel-1p4301-hose-connector-40-2-pieces
Buy a 12 - 22 mm Hose Clamp with a Stainless Steel 304 9 mm band With Butterfly Handle - Norma [2 Pieces] online from Tameson today.
tameson.com
View attachment 116809
Option2 :
1 male and 1 female NPT or BSPP(G) or BSPT or UNF or... hose barb(the thread standard and size of the male and female threads of the two hose barbs must be the same)+teflon tape+2 hose clamps
Buy a G 1/4'' Male x 6mm Stainless steel Hose barb 40 Bar online from Tameson today. Same day shipment with global shipping options.
tameson.com
Buy a G 1/4'' x 6mm Stainless steel Hose barb 40 Bar online from Tameson today. Same day shipment with global shipping options.
tameson.com
Buy a 12 - 22 mm Hose Clamp with a Stainless Steel 304 9 mm band With Butterfly Handle - Norma [2 Pieces] online from Tameson today.
tameson.com
Buy a Thread Sealing Tape Extremely High Density PTFE 4.6m online from Tameson today. Same day shipment with global shipping options.
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Option 3:
1 hose barb plug(nipple)+1 hose barb socket(coupler)+ 2 hose clamps
(The style of the plug and the socket must be the same)
https://www.akvalvesltd.com/products/cejn-342-breathing-air-coupling?variant=31755171201129
Description This is a Cejn Series 342 breathing air quick release coupling, couplings are - AK Valves Ltd
www.akvalvesltd.com
Buy a 12 - 22 mm Hose Clamp with a Stainless Steel 304 9 mm band With Butterfly Handle - Norma [2 Pieces] online from Tameson today.
tameson.com
To connect the extension hose to the outlet of your regulator:
The outlet of your regulator is CGA-032 (5/8-18) female.
So you need "male CGA-032 (5/8-18) to 1/4 NPT(male or female (the following example is 1/4 NPT male))" adapter:
View attachment 116810
McMaster-Carr is the complete source for your plant with over 595,000 products. 98% of products ordered ship from stock and deliver same or next day.
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and then you need these two:
"1/4 NPT female to 1/4(6mm) barb" hose barb + 1 hose clamp
Buy a 12 - 22 mm Hose Clamp with a Stainless Steel 304 9 mm band With Butterfly Handle - Norma [2 Pieces] online from Tameson today.
tameson.com
No matter which option you choose to connect your hoses,you need 3 hose clamps,2 for your two hoses and 1 for other end of the extension hose and your hose barb and don't forget to use the teflon tape for all of your male threads,If you use the teflon tape correctly,It will guarantee a leak-free connection.
Remember that in the gas industry, teflon tape and hose clamps are your best friends.
You can also buy all of these from a local store or whatever website that you want,these links are just examples about what you must buy for your fittings.