An ideal monatomic gas is confined by a spring-loaded massless piston of…

PHYSICS · Multi-part · AP · Physics 2: Algebra-based · Thermodynamics · Thermodynamics

Problem

An ideal monatomic gas is confined by a spring-loaded massless piston of cross-sectional area

8.0\times10^{-3}\,\mathrm{m^2}

. Initially, the gas is at

300\,\mathrm K

, occupies a volume of

2.4\times10^{-3}\,\mathrm{m^3}

, and the spring is relaxed. The gas is heated by an electric heater until the frictionless piston moves out slowly by

0.10\,\mathrm m

. The spring constant is

8000\,\mathrm{N\,m^{-1}}

, atmospheric pressure is

1.0\times10^5\,\mathrm{N\,m^{-2}}

, and the cylinder and piston are thermally insulated. Calculate: (1) The final temperature of the gas. (2) The energy supplied by the heater.