To calculate the water gathered by a rain catcher each night in gallons, multiply the number of inches that fall during the night by 2. This is because the rain catcher gathers 2 gallons per inch of rainfall. It also holds up to 8 gallons.
To figure out how much rainfall there is, there's no answer given in Tomb of Annihilation (ToA). The ToA DM Screen published by Gale Force Nine includes the same table found in the Dungeon Master's Guide (DMG) for rolling for precipitation, but the table isn't tailored for Chult's climate.
It rains in a rainforest about 250 days each year, or about 70% of the days each year. Rainforests average 80 inches of rainfall a year, and the wettest place on Earth receives 467 inches of rainfall a year. One other useful piece of information is that Heavy Rain is considered three or more times as much rainfall as Light Rain.
The chart in the DMG only has it raining 40% of the days. To match a rainforest, roll on the table for every 8 hour period, so once for the 8-hour day and twice during the 16-hour night. This makes it rain 78% of the days each year, but doesn't increase how often the players will encounter daytime Tropical Storms.
Roll Weather 3 Times per Day
Roll on the chart 3 times every day, once during the daytime traveling, and twice during the resting hours. Note that the collection is for an 8 hour period, so players should get to collect twice during the long rest. This chart tries to keep things as close to the DMG and DM Screen as possible.
d20 Intensity Rainfall 8-hr Collection
1-12 None 0 0
13-17 Light 0.031" 0.5 gallons
18-20 Heavy 0.094" 1.5 gallons
^- 25% Tropical Storm 0.19" 3 gallons
Using this table results in annual rainfall of 222 inches, but also tries to give the players a good chance of getting some rainwater by not dumping it all on them during Tropical Storms. Rainfall in the chart is per hour. By rolling 3 times, some days it might be worth hunkering down to catch some rainwater since there's no guarantee the rain will still be there come nightfall!
Roll Weather 2 Times per Day
An alternative chart is here which requires only two rolls, once for the day and once for the night. This version results in 227 inches of annual rainfall, and rain on 75% of the days.
d20 Intensity Rainfall Nightly Collection (16 hr)
1-10 None 0 0
11-14 Light 0.016" 0.5 gallons
15-17 Medium 0.047" 1.5 gallons
18-20 Heavy 0.078" 2.5 gallons
^- 25% Tropical Storm 0.19" 6 gallons
Roll Weather Once a Day
And finally a once per day chart. Roll once for the whole day! One change is that to determine Tropical Storms, only check on a roll of 18+. This chart results in 228 inches of annual rainfall, and rain on 75% of the days.
d20 Intensity Rainfall Nightly Collection (16 hr)
1-5 None 0 0
6-10 Light 0.016" 0.5 gallons
11-14 Medium 0.03" 1 gallon
15-20 Heavy 0.047" 1.5 gallons
18+,25% Tropical Storm 0.094" 3 gallons
1d4 Rainfall
Here's an extra simple method for generating rain each night. Just roll 1d4 and lookup how many gallons were gathered.
d4 Intensity Nightly Collection (16 hr)
1 None 0
2 Light 0.5 gallons
3 Medium 1 gallon
4 Heavy 1.5 gallons
This method results in annual rainfall of 205 inches, and rain on 75% of the days.
To get more rainwater each night, parties should bring more rain catchers. Characters may also be able to forage for water (see rules in the DMG).