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:
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tameson.com
It's your choice whether you want to buy a hose cutter or use something else (like box cutter...etc) to cut the hose.
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 of the hose with a caliper.
(The size of the barbed side of the hose barb depends on the inside diameter of the hose you want to use.)
Option 1(definitely go with this option):
TITAN manufactures thousands of hydraulics products including stainless adapters, hose end fittings, valves and instrumentation fittings
www.titanfittings.com
Shop with expert advice from Joywayus in their latest video Brass Hose Barb Hex Union Fitting.
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Buy a 10 - 16 mm Hose Clamp with a Stainless Steel 304 9 mm band With Butterfly Handle - Norma [2 Pieces] online from Tameson today.
tameson.com
Orange butterfly clamps 5/8 are made of 430 stainless steel. can be installed on hose joints or pipe fittings to prevent liquid leakage.
www.corkitwinemaking.com
Option2 :
EU:
Buy a G 1/4'' Male x 6mm Brass Hose barb 16 Bar [5 Pieces] online from Tameson today. Same day shipment with global shipping options.
tameson.com
Buy a G 1/4'' x 6mm Brass Hose barb 16 Bar [2 Pieces] online from Tameson today. Same day shipment with global shipping options.
tameson.com
Buy a 10 - 16 mm Hose Clamp with a Stainless Steel 304 9 mm band With Butterfly Handle - Norma [2 Pieces] online from Tameson today.
tameson.com
US/CAN:
TITAN manufactures thousands of hydraulics products including stainless adapters, hose end fittings, valves and instrumentation fittings
www.titanfittings.com
TITAN manufactures thousands of hydraulics products including stainless adapters, hose end fittings, valves and instrumentation fittings
www.titanfittings.com
Orange butterfly clamps 5/8 are made of 430 stainless steel. can be installed on hose joints or pipe fittings to prevent liquid leakage.
www.corkitwinemaking.com
Option 3:
Description This is a Cejn Series 342 breathing air quick release coupling, couplings are - AK Valves Ltd
www.akvalvesltd.com
Description This is a Cejn Series 342 breathing air quick release coupling, couplings are - AK Valves Ltd
www.akvalvesltd.com
Buy a 10 - 16 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 (US/CAN):
The outlet of your regulator is CGA-032 (5/8-18) female.
So you need this "male CGA-032 (5/8-18) to male 1/4 NPT" adapter:
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:
TITAN manufactures thousands of hydraulics products including stainless adapters, hose end fittings, valves and instrumentation fittings
www.titanfittings.com
Orange butterfly clamps 5/8 are made of 430 stainless steel. can be installed on hose joints or pipe fittings to prevent liquid leakage.
www.corkitwinemaking.com
Edit: Another way to connect the hose/tube to the outlet of regulators in the US/CAN:
https://sanctioned-suicide.net/threads/exit-bag-and-inert-gas-megathread.8393/post-2117790
No matter which option you choose to connect your hoses, you need 3 hose clamps, 2 for connecting two hoses together (hood and extension hose) and 1 for connecting your hose to the outlet of your regulator.
You can buy these from a local store or any website you want, these links are just examples about what you should buy for your fittings.