The Greenhouse Thermometer · AI Generator #GEN-573CE411

Physics · thermodynamics

Problem

A gardener places a sealed glass jar containing air at atmospheric pressure in direct sunlight as a makeshift thermometer. The jar has a volume of

V = 500\;\text{cm}^3

and initially contains air at temperature

T_1 = 20°\text{C}

and pressure

P_1 = 1.0\;\text{atm}

. After sitting in the sun for an hour, the air inside reaches thermal equilibrium at

T_2 = 45°\text{C}

. Assuming the air behaves as an ideal gas and the jar is rigid (constant volume), what is the final pressure inside the jar?