Balanced net ionic equation for redox reaction

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SUMMARY

The balanced net ionic equation for the redox reaction involving gold and aqua regia is Au(s) + 4H+(aq) + NO3-(aq) -> AuCl4-(aq) + NO(g) + 2H2O(l) + 3e-. The stoichiometric ratio of hydrochloric acid (HCl) to nitric acid (HNO3) required for this reaction is 4:1. To react with 25.0 g of gold, the volumes of 12 M HCl and 16 M HNO3 can be calculated using the molar mass of gold and the established stoichiometric ratio.

PREREQUISITES
  • Understanding of redox reactions and oxidation states
  • Knowledge of strong acid dissociation in aqueous solutions
  • Familiarity with stoichiometry and molarity calculations
  • Basic chemistry concepts related to ionic equations
NEXT STEPS
  • Study the principles of redox reactions in detail
  • Learn how to calculate molar concentrations and volumes in chemical reactions
  • Explore the properties and reactions of strong acids, specifically HCl and HNO3
  • Practice writing and balancing net ionic equations for various reactions
USEFUL FOR

Chemistry students, particularly those in introductory courses, educators teaching redox reactions, and anyone seeking to deepen their understanding of acid-base chemistry and stoichiometry.

LizziePearl
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Just need some idea of where to start on this one...am in my first Chemistry class and it is an intensive so we're not spending a lot of time on things. This one just has me stumped from the beginning so just some guidance on where to begin would be a huge help...

Problem: Gold metal will dissolve only in aqua regia, a mixture of concentraed hydrochloric acid and concentrated nitric acid in 3:1 volume ratio. The products of the reaction between gold and the concentrated acids are AuCL4-(aq), NO(g), and H2O.
a. Write a balanced net ionic equation for the redox reaction, treating HCL and HNO3 as strong acids.
b. What stoichiometric ratio of hydrochloric acid to nitric acid should be used?
c. What volumes of 12 M HCl and 16 M HNO3 are required to furnish the Cl- and NO3- ions to react with 25.0 g of gold?

I started with trying to write the equation given but wasn't sure it was correct because of the statement "3:1 ratio". This is what I started with:
Au+Cl+HNO3 -> AuCl4-+NO+H2O

Then I started trying to do the balanced redox equation by breaking it down but so I started by...
Au -> AuCl4-
HCl -> H2O
HNO3 -> NO

Is this the correct initial approach?
 
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I don't really like the idea of you treating strong acids as not dissociated on the reactant side of the equation. Remember that HNO_3 exists as H^+ and NO_3^- in solution, for example. That being said, your half reactions need to be tweaked a little.
 



Yes, your initial approach is correct. To write the balanced net ionic equation for the redox reaction, you will need to first identify the oxidation states of each element involved. In this case, gold is being oxidized from a neutral state to a +4 state, while nitrogen is being reduced from a +5 state to a 0 state. The balanced net ionic equation will involve the transfer of electrons from one species to another.

Based on the given information, the balanced net ionic equation for the redox reaction can be written as:

Au(s) + 4H+(aq) + NO3-(aq) -> AuCl4-(aq) + NO(g) + 2H2O(l) + 3e-

To balance the equation, you will need to add H+ ions and water molecules on the left side to balance the hydrogen and oxygen atoms. You will also need to add electrons on the left side to balance the charges. The final balanced equation will be:

Au(s) + 4H+(aq) + NO3-(aq) -> AuCl4-(aq) + NO(g) + 2H2O(l) + 3e-

For part b, the stoichiometric ratio of hydrochloric acid to nitric acid can be calculated by using the coefficients in the balanced equation. In this case, the ratio is 4:1, meaning that 4 moles of HCl are needed for every 1 mole of HNO3.

For part c, you will need to use the molar mass of gold to convert the given mass into moles. Then, using the stoichiometric ratio calculated in part b, you can determine the moles of HCl and HNO3 needed. Finally, using the molarities of the acids, you can calculate the volume of each acid needed.
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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