### Thermodynamics

goals
If two systems are in thermal equilibrium, then they should have same temperature.

In an open system, system and surroundings can exchange

The temperature of $3\:kg$ of nitrogen is raised from $10^\circ C$ to $100^\circ C$.
For nitrogen $C_p=1400\:J/kgK$ and $C_v=740\:J/kgK$
The idealized P-V diagram below shows a complete Carnot cycle through compression and expansion of a gas. The questions below refer to the processes within the cycle.
An automobile tyre has volume $0.015 m^3$ on a cold day when temperature is $5^o C$ and atmospheric pressure is $1.02\ atm$. Under these conditions the gauge pressure is $1.7\ atm\ (25\ lb/in^2)$. After the car is driven on a highway for 30 minutes the temperature of the air in the tyres rises to $45^oC$ and volume to $0.0159 m^3$.