A reaction of 1 liter of chlorine gas \(\left(\mathrm{Cl}_{2}\right)\) with 3 liters of fluorine gas \(\left(\mathrm{F}_{2}\right)\) yields 2 liters of a gaseous product. All gas volumes are at the same temperature and pressure. What is the formula of the gaseous product?

Short Answer

Expert verified
The formula of the gaseous product is \(ClF_3\).

Step by step solution

01

Moles and Volume Relationship

At the same temperature and pressure, the volume of the gases is directly proportional to the number of moles. Therefore, we can find the mole ratios of the reactants and product directly from the given volumes. Using the given volumes: Number of moles of Cl2 = 1 liter Number of moles of F2 = 3 liters
02

Write a Balanced Equation

Let's denote the gaseous product as ClxFy. From the reactants and product ratios, we can write the following equation: \(Cl_2 + F_2 \rightarrow Cl_x F_y\) The total volume of the reactants is 1 + 3 = 4 liters, while the total volume of the product is 2 liters. It means that two moles of reactants give one mole of product. Therefore, we can balance the equation as: \(1/2 Cl_2 + 3/2 F_2 \rightarrow Cl_x F_y\)
03

Determine the Formula of the Gaseous Product

From the balanced equation, we can see that: 1/2 mole of Cl2 provides x moles of Cl (to form the product). 3/2 moles of F2 provides y moles of F (to form the product). To find x and y, we'll use the proportion of Cl and F in the product: \(x/1/2 = y/3/2\) Solving this equation, we get: \(x = 1\) \(y = 3\) So, the formula of the gaseous product is \(ClF_3\).

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Most popular questions from this chapter

Carbon- 14 dating is a method used to determine the age of historical artifacts by examining the ratio of two isotopes of carbon (carbon- 14 and carbon-12). A living plant consumes carbon dioxide in the photosynthesis process and incorporates the carbon, including \({ }^{14} \mathrm{C}\), into its molecules. As long as a plant lives, the \({ }^{14} \mathrm{C} /{ }^{12} \mathrm{C}\) ratio in its molecules remains the same as in the atmosphere because of its continuous uptake of carbon. However, as soon as a tree is cut to make a wooden bowl or a flax plant is harvested to make linen, the \({ }^{14} \mathrm{C}^{12} \mathrm{C}\) ratio begins to decrease because of the radioactive decay of \({ }^{14} \mathrm{C}\left({ }^{12} \mathrm{C}\right.\) is stable). By comparing the current \({ }^{14} \mathrm{C} /{ }^{12} \mathrm{C}\) ratio to the presumed ratio when the artifact was made, one can estimate the age of the artifact. For carbon-14 and carbon- 12 , how many protons and neutrons are in each nucleus? Assuming neutral atoms, how many electrons are present in an atom of carbon- 14 and in an atom of carbon-12?

For each of the following ions, indicate the total number of protons and electrons in the ion. For the positive ions in the list. predict the formula of the simplest compound formed between each positive ion and the oxide ion. For the negative ions in the list, predict the formula of the simplest compound formed between each negative ion and the aluminum ion. a. \(\mathrm{Fe}^{2+}\) e. \(\mathrm{S}^{2}\) b. \(\mathrm{Fe}^{3+}\) f. \(\mathrm{P}\) c. \(\mathrm{Ba}^{2+} \quad \mathrm{g} \cdot \mathrm{Br}^{-}\) d. \(\mathrm{Cs}^{+}\) h. \(\mathrm{N}^{3-}\)

You may have noticed that when water boils, you can see bubbles that rise to the surface of the water. Which of the following is inside these bubbles? Explain. a. air b. hydrogen and oxygen gas c. oxygen gas d. water vapor e. carbon dioxide gas

Identify the elements that correspond to the following atomic numbers. Label each as either a noble gas, a halogen, an alkali metal. an alkaline earth metal, a transition metal, a lanthanide metal, or an actinide metal. a. 17 e. 2 b. 4 f. 92 c. 63 g. 55 d. 72

Name the compounds in parts a-d and write the formulas for the compounds in parts e-h. a. \(\mathrm{NaBr}\) b. \(\mathrm{Rb}_{2} \mathrm{O}\) c. \(\mathrm{CaS}\) d. \(\mathrm{AlI}_{3}\) e. strontium fluoride f. aluminum selenide g. potassium nitride h. magnesium phosphide

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