Question

During laparoscopic surgery, carbon dioxide gas is used to expand the abdomen to help create a larger working space. If $4.80 \mathrm{~L}$ of $\mathrm{CO}_{2}$ gas at $18^{\circ} \mathrm{C}$ at $785 \mathrm{mmHg}$ is used, what is the final volume, in liters, of the gas at $37^{\circ} \mathrm{C}$ and a pressure of $745 \mathrm{mmHg},$ if the amount of $\mathrm{CO}_{2}$ does not change? (8.5)

Name: Problem 76, Chapter 8: Chemistry: An Introduction to General, Organic, and Biological Chemistry
Uploaded: 2021-04-24T22:28:24-08:00
Duration: 4 min 9 s
Channel: Dr. Satish Ingale
Description: During laparoscopic surgery, carbon dioxide gas is used to expand the abdomen to help create a larger working space. If 4.80 L of CO2 gas at 18^∘ C at 785 mmHg is used, what is the final volume, in liters, of the gas at 37^∘ C and a pressure of 745 mmHg, if the amount of CO2 does not change? (8.5)

   During laparoscopic surgery, carbon dioxide gas is used to expand the abdomen to help create a larger working space. If $4.80 \mathrm{~L}$ of $\mathrm{CO}_{2}$ gas at $18^{\circ} \mathrm{C}$ at $785 \mathrm{mmHg}$ is used, what is the final volume, in liters, of the gas at $37^{\circ} \mathrm{C}$ and a pressure of $745 \mathrm{mmHg},$ if the amount of $\mathrm{CO}_{2}$ does not change? (8.5)

Chemistry: An Introduction to General, Organic, and Biological Chemistry

Karen C. Timberlake 13th Edition

Chapter 8, Problem 76

Instant Answer

Solved by Expert Dr. Satish Ingale

04/24/2021

Step 1

The formula to convert Celsius to Kelvin is K = °C + 273. So, the initial temperature T1 is 18°C + 273 = 291 K and the final temperature T2 is 37°C + 273 = 310 K. Show more…

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During laparoscopic surgery, carbon dioxide gas is used to expand the abdomen to help create a larger working space. If $4.80 \mathrm{~L}$ of $\mathrm{CO}_{2}$ gas at $18^{\circ} \mathrm{C}$ at $785 \mathrm{mmHg}$ is used, what is the final volume, in liters, of the gas at $37^{\circ} \mathrm{C}$ and a pressure of $745 \mathrm{mmHg},$ if the amount of $\mathrm{CO}_{2}$ does not change? (8.5)

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Key Concepts

Temperature Conversion (Kelvin Scale)

For accurate application of gas laws, temperatures must be expressed in an absolute scale, such as Kelvin. This involves converting degrees Celsius to Kelvin by adding 273.15, ensuring that the temperature measurements used in calculations, like those in the combined gas law, are consistent and absolute.

Combined Gas Law

The combined gas law relates the pressure, volume, and temperature of a fixed amount of gas through the equation (P1 * V1) / T1 = (P2 * V2) / T2. This law is a combination of Boyle's Law, Charles's Law, and Gay-Lussac's Law, and it allows us to determine an unknown variable when a gas undergoes changes in pressure, volume, and temperature, provided the number of moles remains constant.

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