Eric,
Jaguar chose to call our two tanks “header tank” (right in front of the engine), instructing to check and, if necessary, top up to the base of the filler neck, and the “expansion tank”, situated at the left fender, instructing that the expansion tank should be approx. half full. The caps have different pressure ratings - so don’t get them mixed up. All info as per OM p.23.
As for your question: the OM specifies 18.5 litres of coolant. That should include a correctly, i.e. half full, expansion tank, probably measured at approx 20°C. The expansion coefficient of water (antifreeze would be different, but I don’t find figures for glycol) is 0.00018/K. If the pressure in the coolant cycle permits a boiling temp of approx. 100°C, you get a temp delta of 80. Now 18.5l x 0.00018 x1/K x 80K = 0.26 litres.
This calculation does not correctly mirror expansion to the true boiling point that may be affected by the coolant itself, nor the change of expansion of the coolant given that you should use coolant. A chart relating to coolants suggests that upon heating from 20 to 105°C volume will expand by 0.84 litres without coolant added and by 0.83 litres with 50% coolant. Not a hill of beans though …
From the seat of my pants I’d guess though that 2 litres in the expansion tank should be okay. The expansion bottle in my Spitfire is approx 1 litre and caters to a coolant circle of 4.5 litres. The OM advises to keep it half full on a cold engine. I tend to fill it like one quarter and have plenty of reserve.
Friendly, but inexperienced service staff tend to “fill her up” at the expansion tank causing green (yellow, red, blue) puddles behind the left front wheel at the next stop when the heat soak leads to expansion …
Good luck
Jochen
75 XJ6L 4.2 auto (UK spec)