Consider three sealed tanks all at the same temperature, pressure, and volume Tank A contains \(\mathrm{SO}_{2}\) gas. Tank B contains \(\mathrm{O}_{2}\) gas. Tank C contains \(\mathrm{CH}_{4}\) gas.

Short Answer

Expert verified
Question: Compare the properties of SO2, O2, and CH4 gases in three tanks A, B, and C, all at the same temperature, pressure, and volume. Calculate the total number of moles of gas in each tank, the average mass of the gas particles in each tank, and the density of each gas in the tanks. Answer: All three tanks have the same number of moles (n) since their temperature, pressure, and volume are the same. However, the average mass of gas particles and the density of the gases differ due to their different molar masses. The molar masses are 64 g/mol for SO2, 32 g/mol for O2, and 16 g/mol for CH4. The average mass of particles and density can be calculated for each gas using these molar masses and the volume of the tanks.

Step by step solution

01

Calculating the number of moles in each tank

Since all the tanks share the same temperature, pressure, and volume, we can use the ideal gas law formula to find the number of moles in the tanks: PV = nRT Here, P is pressure, V is volume, n is the number of moles, R is the ideal gas constant (8.314 J/(mol·K)), T is temperature (in Kelvin). The ideal gas equation can be rewritten as: n = PV/RT Since P, V, and T are the same for all tanks, the number of moles (n) in each tank will also be the same.
02

Calculate the average mass of gas particles in each tank

The molar mass of each gas is as follows: SO2: 1 S atom + 2 O atoms = 32 + 2*16 = 64 g/mol O2: 2 O atoms = 2*16 = 32 g/mol CH4: 1 C atom + 4 H atoms = 12 + 4*1 = 16 g/mol The average mass of particles in each tank can be calculated by dividing the molar mass by Avogadro's number (6.022 x 10^23 particles/mol).
03

Calculate the density of each gas in the tanks

The density of a gas can be found using the formula: Density = (Mass of gas) / Volume We can rewrite the formula in terms of the number of moles, n, using the definition of molar mass: Density = (n x Molar mass) / V Here, V is the volume of the tank shared among all tanks. Calculate the density for each gas using their respective molar masses from Step 2 and the number of moles from Step 1 (which are equal in each tank).
04

Comparing the properties of the gases in the tanks

Compare the average mass of the gas particles and the density of the gases in each tank. You'll notice that although the number of moles is the same in all three tanks, the average mass of the particles, and hence the density, will differ due to each type of gas having different molar masses.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Nitrogen can react with steam to form ammonia and nitrogen oxide gases. A 20.0-L sample of nitrogen at \(173^{\circ} \mathrm{C}\) and \(772 \mathrm{~mm} \mathrm{Hg}\) is made to react with an excess of steam. The products are collected at room temperature \(\left(25^{\circ} \mathrm{C}\right)\) into an evacuated flask with a volume of \(15.0 \mathrm{~L}\). (a) Write a balanced equation for the reaction. (b) What is the total pressure of the products in the collecting flask after the reaction is complete? (c) What is the partial pressure of each of the products in the flask?

A certain laser uses a gas mixture consisting of \(9.00 \mathrm{~g} \mathrm{HCl}, 2.00 \mathrm{~g} \mathrm{H}_{2}\) and \(165.0 \mathrm{~g}\) of Ne. What pressure is exerted by the mixture in a \(75.0\) -L tank at \(22^{\circ} \mathrm{C}\) ? Which gas has the smallest partial pressure?

A 2.00-L tank, evacuated and empty, has a mass of \(725.6 \mathrm{~g}\). It is filled with butane gas \(\left(\mathrm{C}_{4} \mathrm{H}_{10}\right)\) at \(22^{\circ} \mathrm{C}\) to a pressure of \(1.78 \mathrm{~atm} .\) What is the mass of the tank after it is filled?

Given that \(1.00\) mol of neon and \(1.00\) mol of hydrogen chloride gas are in separate containers at the same temperature and pressure, calculate each of the following ratios. (a) volume \(\mathrm{Ne} /\) volume \(\mathrm{HCl}\) (b) density Ne/density HCl (c) average translational energy Ne/average translational energy HCl (d) number of Ne atoms/number of HCl molecules

The contents of a tank of natural gas at \(1.20 \mathrm{~atm}\) is analyzed. The analysis showed the following mole percents: \(88.6 \% \mathrm{CH}_{4}, 8.9 \% \mathrm{C}_{2} \mathrm{H}_{6}\), and \(2.5 \%\) \(\mathrm{C}_{3} \mathrm{H}_{3}\). What is the partial pressure of each gas in the tank?

See all solutions

Recommended explanations on Chemistry Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free