At fixed per-particle energy and volume, particle count raises thermal energy and pressure together. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.
highlighted = computed this step
Four particles carry eight joules in the box
Each particle carries thermal energy 2 joules. With 4 particles in volume 4 cubic metres, total thermal energy is 8 joules and pressure is 2 pascals.
4⋅2=8
Six particles make twelve joules and three pascals
At 6 particles, thermal total is 12 joules. With the same volume 4 cubic metres, pressure rises to 3 pascals.
3⋅4=12
Eight particles raise pressure to four pascals
With 8 particles, thermal total reaches 16 joules. The same 4 cubic metre volume gives pressure 4 pascals, keeping pressure times volume equal to the energy ledger.