The Chocolate Factory's Steam Problem · AI Generator #GEN-CA1AE260

Physics · thermodynamics

Problem

A chocolate factory uses steam to melt chocolate in large vats. The factory's steam system operates at a pressure of

3.0\;\text{atm}

and temperature of

150°\text{C}

. Due to a leak in the steam pipe, steam escapes into the factory floor where the pressure is

1.0\;\text{atm}

and temperature is

25°\text{C}

. A quality control engineer measures that

2.5\;\text{kg}

of steam escapes from the high-pressure system every hour. Assuming the steam behaves as an ideal gas and that the molecular mass of water is

18\;\text{g/mol}

, what volume of steam (in cubic meters) accumulates on the factory floor each hour? Assume the escaped steam remains gaseous.