This episode covers the mole and the ideal gas law, landing on the everyday puzzle they explain: why a full-looking balloon sags the moment you carry it outside on a cold day. Blake and Jordan link grams to particle counts, insist on kelvin over Celsius, connect temperature to the average kinetic energy of molecules, and take a piston cylinder underwater where total pressure is atmospheric plus rho g h. For PHYS 251 students in Week 1 who want the equations to match their intuition about air and heat.

In this episode, we cover:

1. What a mole actually is, and the mass to moles to particle-count workflow

2. Atomic number, atomic mass, and the carbon-12 anchor behind the atomic mass unit

3. PV = nRT: what "ideal" assumes, and why Celsius breaks the maths while kelvin does not

4. Boyle's and Charles's behaviour  ...