I finalized the calc for the Plasma Grenade feat in Halo Uprising:
At 20 degrees celsius, air has a density of 1.2041 kg/m^3
Our volume of a hemisphere calculator is designed to answer the following questions: How can you find the volume of a hemisphere? What is the volume of a hemisphere formula?
www.omnicalculator.com
With a 3.96 meter radius, the volume of the explosion is 260.12 m^3
260.12 m^3 * 1.2041 kg/m^3
= 313.210492 kilograms
Using Air (Gas, Room Cond) I get 1012 joules/kilogram
Find out how much heat is required to warm up a sample with the specific heat calculator.
www.omnicalculator.com
= 944,567,673 joules
The question should be if this is enough to vaporize the Brute as shown in the comic
Human body is 3600 joules per kilogram
Jiralhanae is 510-680 kilograms
That makes a temperature change of 385.853-514.47, not enough to actually vaporize bone but enough to flash vaporize all blood. I think it's an okay estimate. We don't have proof 100% of the Brute was simply vaporized. This level of intensity is still enough to cauterize and char the bone enough to carbonize it. I think this number is good, and I consider it the safe end here. However, I will do a high end too I guess. Let's assume the Brute was entirely vaporized, bone included. Bone is composed of Hydroxyapatite
which has a boiling point of 1500 degrees celsius.
Average body temperature is 37 Celsius meaning a temperature change of 1463 Celsius. The brute is 510-680 kilograms.
Find out how much heat is required to warm up a sample with the specific heat calculator.
www.omnicalculator.com
I get 2,686,070,000-3,581,425,000 joules being needed to do that.
now I need to calculate how much of it Chief actually tanked:
259 cm = 451 pixels
Distance to Grenade = 233 pixels = 133.8 cm
4π(133.8 cm)^2 = 22.4968696 m^2
944,567,673 joules/22.4968696 m^2 = 41,986,627 joules/m^2
2,686,070,000 joules/22.4968696 m^2 = 119,397,501 joules / m^2
3,581,425,000 joules/22.4968696 m^2 = 159,196,593 joules/m^2
Safe End: 41,986,627 joules/m^2
High End: 119,397,501 joules / m^2
Super High End:
3,581,425,000 joules/22.4968696 m^2
Cross-sectional area of Master Chief is 1.26 m^2
Safe End: 1.26 m^2 * 41,986,627 joules/m^2 =
52,903,150 joules High End: 1.26 m^2 * 119,397,501 joules / m^2 =
150,440,851 joules Super High End: 1.26 m^2 * 159,196,593 joules/m^2 =
200,587,707 joules