Thermodynamics

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 $$0.0159 m^3$$.