A large cylindrical tank contains 0.750 m^3 of nitrogen gas at 27^∘ C and 7.50 ×10^3 Pa (absol

step 1 So in this question we have a cylindrical tank that contains certain amount of nitrogen gas let

A large cylindrical tank contains 0.750 m^3 of nitrogen gas...

A large cylindrical tank contains $0.750 \mathrm{~m}^{3}$ of nitrogen gas at $27^{\circ} \mathrm{C}$ and $7.50 \times 10^{3} \mathrm{~Pa}$ (absolute pressure). The tank has a tight-fitting piston that allows the volume to be changed. What will be the pressure if the volume is decreased to $0.410 \mathrm{~m}^{3}$ and the temperature is increased to $157^{\circ} \mathrm{C} ?$

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Ideal Gas Law

The Ideal Gas Law is a fundamental equation in thermodynamics that relates pressure, volume, and temperature for a fixed amount of gas through the relationship PV = nRT. This law allows for the prediction of how changes in any one of the variables (while keeping the others isolated) affect the behavior of the gas under the assumption that the gas molecules do not interact and occupy no volume themselves.

Combined Gas Law

The Combined Gas Law is a derivation from the Ideal Gas Law that relates two different states of a gas when the number of moles remains constant. It expresses that the product of pressure and volume divided by temperature remains constant (P1V1/T1 = P2V2/T2), which is useful for analyzing situations where the gas undergoes simultaneous changes in pressure, volume, and temperature.

Temperature Conversion for Gas Calculations

In gas law problems, temperature must be measured in Kelvin to ensure that the thermodynamic calculations accurately reflect the absolute energy levels of the gas molecules. Converting from Celsius to Kelvin (by adding 273.15 to the Celsius temperature) is pivotal for the proper application of the Ideal Gas Law or Combined Gas Law.

Please give Ace some feedback