The Coffee Shop Steam Engine · AI Generator #GEN-23401168

Physics · thermodynamics

Problem

A creative barista designs a miniature steam engine using coffee shop equipment. She uses a small espresso cup as a cylinder and heats water with a milk steamer. The cup has an internal diameter of

4.0\;\text{cm}

and contains

50\;\text{mL}

of water at

20°\text{C}

. She heats the water to

100°\text{C}

at constant atmospheric pressure (

1.01 \times 10^5\;\text{Pa}

), then quickly seals the cup and allows it to cool back to

20°\text{C}

at constant volume. What is the final pressure inside the sealed cup after cooling?

Related theory

thermodynamics

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