A person undergoing a laparoscopic abdominal surgery...

A person undergoing a laparoscopic abdominal surgery procedure will have their abdominal cavity inflated with carbon dioxide for the procedure. If 180 mL of $\mathrm{CO}_2$ at 2500 . torr and $20^{\circ} \mathrm{C}$ is put into the abdominal cavity of the patient, which exerts 940 torr of pressure on the gas at a temperature of $37^{\circ} \mathrm{C}$, what is the new volume of the insufflated carbon dioxide?

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

Combined Gas Law

The Combined Gas Law is used to relate the pressure, volume, and temperature of a fixed amount of gas between two different states. It is expressed as (P1 × V1)/T1 = (P2 × V2)/T2. By incorporating both Boyle’s Law and Charles’ Law, it provides a systematic way to predict how a gas behaves when its conditions change simultaneously.

Ideal Gas Law

The Ideal Gas Law (PV = nRT) forms the foundation for understanding the behavior of gases. This relation connects pressure, volume, temperature, and the number of moles of a gas. In problems where the amount of gas remains constant, variations of this law, such as the combined gas law, are used to connect initial and final states of a gas when conditions change.

Unit Conversion

In applying the gas laws, it is critical to ensure that all measurements are converted to consistent units. For example, temperatures must be converted from Celsius to Kelvin by adding 273.15, and pressures should be in the correct and consistent units (such as torr or atm) throughout the calculations. This step is vital to avoid errors and to maintain the accuracy of the gas law formulas.

Transcript

Please give Ace some feedback