College

We appreciate your visit to A sample of carbon dioxide gas has a pressure of 8 33 bar and a volume of 11 7 mL at a temperature of 37. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

A sample of carbon dioxide gas has a pressure of 8.33 bar and a volume of 11.7 mL at a temperature of 37.6 °C. How many molecules of carbon dioxide gas are in the sample?

Answer :

Final answer:

To find the number of molecules of carbon dioxide gas in the sample, we need to convert the volume from milliliters to liters, use the Ideal Gas Law equation to find the number of moles, and then multiply by Avogadro's number to find the number of molecules.


Explanation:

To determine the number of molecules of carbon dioxide gas in the sample, we first need to convert the given volume from milliliters to liters. Since there are 1000 milliliters in a liter, the volume is 11.7 mL / 1000 mL/L = 0.0117 L.

Next, we'll use the Ideal Gas Law equation, PV = nRT, where P is the pressure, V is the volume, n is the number of moles of gas, R is the ideal gas constant, and T is the temperature in Kelvin.

Since we have the pressure, volume, and temperature, we can rearrange the equation to solve for the number of moles:

n = PV / RT

Plugging in the values, n = (8.33 bar) * (0.0117 L) / (0.0831 bar L/mol K * (273.15 + 37.6) K) = 13.82 * 10^-3 mol.

Finally, to find the number of molecules, we can use Avogadro's number, which states that there are 6.022 * 10^23 molecules in 1 mole of a substance. Therefore, the number of molecules in the sample is (13.82 * 10^-3 mol) * (6.022 * 10^23 molecules/mol) = 8.32 * 10^20 molecules.


Learn more about number of molecules of carbon dioxide gas in a sample here:

https://brainly.com/question/15503109


Thanks for taking the time to read A sample of carbon dioxide gas has a pressure of 8 33 bar and a volume of 11 7 mL at a temperature of 37. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada