I didn’t know that zirconium and zirconia weren’t the same.
Zirconia is just zirconium dioxide. Two oxygen atoms for one zirconium atom arranged in a cristalline structure. Together they form a ceramic.
Apart from the fact you're quoting density while I was talking about specific heat (which would seem more relevant, but if density adds an additional factor to specific heat I'd be interested to know more) then you're saying the same thing as I am in the first place, no?
Specific heat is an extensive property. It extends with the quantity of matter.
ZrO2 being denser than boro, there is more mass in a Zirconia filled head than a boro one.
Reminder : heat capacity is the quantity of energy (Joules) you need to apply to a material to raise its temperature up 1°K.
In extension it is also the energy released by the material to lower its temp down 1°K.
Also keep in mind that specific heat value depends on the measurement protocol and results vary depending on the technic used.
Let's do the math.
ZrO2 :
• specific heat capacity :
420 J/(k•kg)
• volumetric mass : 5,85 g/cm3
Borosilicate :
• specific heat capacity : 830 J/(k•kg)
• volumetric mass : 2,23 g/cm3
Let's assume a head filled with 100 x 3mm balls. (R = 1,5 mm = 0,15 cm)
Total balls volume = 100 (4/3 x π x 0,15^3) = 1,41 cm3.
Balls mass with boro = 1,41 x 2,23 = 3,14 g = 0,00314 kg
Balls mass with ZrO2 = 1,41 x 5,85 = 8,25 g = 0,00825 kg
Now imagine room temp is 20°C and the TA head is cold. You the balls at around 220°C to vape your bowl. You need 200°K more. To reach this temp :
• ZrO2 balls need 420 x 0,00825 x 200 = 693 J
• boro balls need 830 x 0,00314 x 200 = 521 J
What does that means ?
To get to the same temp, ZrO2 balls will need more torching (longer or bigger flame) than boro.
But because it has stored more energy ZrO2 will take longer to cool down, releasing more energy than boro.
We can do the math for rubies and SiC if you want.