A rigid tank contains nitrogen gas at 227^∘ C and 100 kPa gage. The gas is heated until the gage

step 1 Hi everyone using ideal gas equation we can write p1 b is called to m r t2 b is equal to m r t2

A rigid tank contains nitrogen gas at 227^∘ C and 100 kPa...

A rigid tank contains nitrogen gas at $227^{\circ} \mathrm{C}$ and 100 kPa gage. The gas is heated until the gage pressure reads $250 \mathrm{kPa}$. If the atmospheric pressure is $100 \mathrm{kPa}$, determine the final temperature of the gas, in ${ }^{\circ} \mathrm{C}$.

Key Concepts

Ideal Gas Law

The ideal gas law is a fundamental relation in thermodynamics that connects pressure, volume, temperature, and the amount of gas through the equation PV = nRT. It is crucial for understanding the behavior of gases under different conditions, allowing predictions of how changes in one state variable affect another when the amount of gas remains constant.

Isovolumetric Process

An isovolumetric or constant-volume process refers to a situation where the volume of a system is held fixed while other state variables such as pressure and temperature may change. This concept is essential for analyzing systems like a rigid tank, where heating changes the pressure and temperature without altering the volume.

Gauge versus Absolute Pressure

Gauge pressure is the pressure measured relative to the ambient atmospheric pressure, while absolute pressure is the total pressure including atmospheric pressure. Understanding the difference between these two is crucial in many engineering calculations as it ensures that all terms in the ideal gas law and other thermodynamic equations are consistent.

Temperature Conversion

Temperature conversion is the process of converting temperature values between different scales, typically Celsius and Kelvin in thermodynamics. Since the ideal gas law requires temperatures to be in an absolute scale (Kelvin), it is important to accurately convert Celsius temperatures to Kelvin before applying the law.

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