provide an example of how Dalton's law is relevant in a context industrial or environmental
Added by Ricardo C.
Step 1
This law is relevant in various industrial and environmental contexts where gas mixtures are involved. Show more…
Show all steps
Your feedback will help us improve your experience
Madeline Currie and 84 other Physics 101 Mechanics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
What is Dalton's law?
Summarize Dalton's Law.
Emily H.
The sulfur dioxide content of a stack gas is monitored by passing a sample stream of the gas through an SO_ analyzer. The analyzer reading is $1000 \mathrm{ppm} \mathrm{SO}_{2}$ (parts per million on a molar basis). The sample gas leaves the analyzer at a rate of $1.50 \mathrm{L} / \mathrm{min}$ at $30^{\circ} \mathrm{C}$ and $10.0 \mathrm{mm}$ Hg gauge and is bubbled through a tank containing 140 liters of initially pure water. In the bubbler, $S O_{2}$ is absorbed and water evaporates. The gas leaving the bubbler is in equilibrium with the liquid in the bubbler at $30^{\circ} \mathrm{C}$ and 1 atm absolute. The $\mathrm{SO}_{2}$ content of the gas leaving the bubbler is periodically monitored with the $\mathrm{SO}_{2}$ analyzer, and when it reaches $100 \mathrm{ppm} \mathrm{SO}_{2}$ the water in the bubbler is replaced with 140 liters of fresh water.(a) Speculate on why the sample gas is not just discharged directly into the atmosphere after leaving the analyzer. Assuming that the equilibrium between $S O_{2}$ in the gas and dissolved $S O_{2}$ is described by Henry's law, explain why the SO_ content of the gas leaving the bubbler increases with time. What value would it approach if the water were never replaced? Explain. (The word "solubility" should appear in your explanation.)(b) Use the following data for aqueous solutions of $\mathrm{SO}_{2}$ at $30^{\circ} \mathrm{C}^{14}$ to estimate the Henry's law constant in units of $\mathrm{mm}$ Hg/mole fraction:$$\begin{array}{|l|c|c|c|c|c|}\hline \mathrm{g} \mathrm{SO}_{2} \text { dissolved/ } 100 \mathrm{g}\mathrm{H}_{2} \mathrm{O}(\mathrm{l}) & 0.0 & 0.5 & 1.0 & 1.5 & 2.0 \\\hline p_{\mathrm{SO}_{2}}(\mathrm{mm} \mathrm{Hg}) & 0.0 & 37.1 & 83.7 &132 & 183 \\\hline\end{array}.$$(c) Estimate the SO_concentration of the bubbler solution (mol SO_/liter), the total moles of SO_ dissolved, and the molar composition of the gas leaving the bubbler (mole fractions of air, $\mathrm{SO}_{2}$, and water vapor) at the moment when the bubbler solution must be changed. Make the following assumptions: \bullet. The feed and outlet streams behave as ideal gases. \bullet Dissolved SO_ is uniformly distributed throughout the liquid. ? The liquid volume remains essentially constant at 140 liters. - The water lost by evaporation is small enough for the total moles of water in the tank to be considered constant. - The distribution of SO_ between the exiting gas and the liquid in the vessel at any instant of time is governed by Henry's law, and the distribution of water is governed by Raoult's law (assume $\left.x_{\mathrm{H}_{2} \mathrm{O}} \approx 1\right)$.(d) Suggest changes in both scrubbing conditions and the scrubbing solution that might lead to an increased removal of $\mathrm{SO}_{2}$ from the feed gas.
Recommended Textbooks
University Physics with Modern Physics
Physics: Principles with Applications
Fundamentals of Physics
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD