Electrochemistry Calculations
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Questions and Answers

What is the transport number of H+ ions represented by?

  • t_{H-}
  • t_{H^{++}}
  • t_{H}
  • t_{H^+} (correct)

The distance moved by the boundary in the solution is marked as 'bb' to 'aa'.

False (B)

What voltage equivalent does one gram equivalent carry?

one Faraday

The volume of the moved liquid is calculated as _______.

<p>lac</p> Signup and view all the answers

Which of the following is an advantage of the method for calculating transport number?

<p>More convenient than Hittorf's method (D)</p> Signup and view all the answers

Match the following terms with their correct descriptions:

<p>t_{H^{+}} = Transport number of hydrogen ions Q = Total charge in coulombs lac = Volume moved by the liquid I = Current in amperes</p> Signup and view all the answers

Hydrogen ions move towards the anode during electrolysis.

<p>False (B)</p> Signup and view all the answers

What is the formula used to calculate the transport number of H+ ions?

<p>t_{H^{+}} = rac{96500 imes lac}{1000 imes Q}</p> Signup and view all the answers

Why do H+ ions move towards the cathode during electrolysis?

<p>H+ ions are positively charged and are attracted to the negatively charged cathode.</p> Signup and view all the answers

How is the total electricity (Q) related to current (I) and time (t) in the context of calculating transport number?

<p>Total electricity (Q) is calculated by the formula Q = I * t, where I is the current in amperes and t is the time in seconds.</p> Signup and view all the answers

What is the significance of 96500 Coulombs in the context of Faraday's law?

<p>The number 96500 Coulombs represents the charge of one gram equivalent of any ion, which is fundamental to electrochemical calculations.</p> Signup and view all the answers

Explain why the distance moved by the boundary between two solutions is crucial for calculating the volumes of ions involved.

<p>The distance moved reflects the volume of liquid displaced, which is essential for determining how many gram equivalents of ions are transported.</p> Signup and view all the answers

What equation represents the transport number of H+ ions?

<p>The transport number is represented by the equation $t_{H^{+}} = \frac{96500 \times lac}{1000 \times Q}$.</p> Signup and view all the answers

List two advantages of using the method described for calculating the transport number of H+ ions.

<p>The method is very accurate and more rapid than Hittorf's method.</p> Signup and view all the answers

What changes in the solution occur as H+ ions move towards the cathode?

<p>As H+ ions move towards the cathode, cadmium ions take their place, causing the boundary between the solutions to move upward.</p> Signup and view all the answers

How would the dimensions of distance, area, and volume be expressed in SI units in this electrochemical context?

<p>In SI units, distance is in meters (m), area is in square meters (m²), and volume is in cubic meters (m³).</p> Signup and view all the answers

Flashcards

Transport Number of H+

Proportion of total current carried by H+ ions in an electrolytic solution.

Calculating Transport Number (Formula)

tH+ = (96500 * lac) / (1000 * Q), where Q is total charge (coulombs), l is distance, a is cross-section area, c is concentration.

Total Charge (Q)

Total electricity flowing through a circuit in coulombs, calculated as Q = I * t

Hydrogen Ion Movement

H+ ions move towards the cathode, displacing cadmium ions.

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Volume of Moved Liquid

lac, where 'l' is distance, 'a' is cross-sectional area, and 'c' is concentration of acid in gram equivalents per liter.

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Faraday's Law in Electrochemistry

One gram equivalent carries one Faraday of electricity (96500 Coulombs).

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Gram Equivalents of H+

Calculated as (lac)/1000, where l, a, and c are as in the volume formula.

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Electrochemical Transport Number Method Advantage

More accurate, convenient, and faster compared to the Hittorf method; can study mixtures like proteins;

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What is the boundary movement in the electrochemical transport number method?

The boundary between two solutions moves upward during the experiment as a result of H+ ions migrating towards the cathode while Cl- ions move towards the anode.

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How is volume calculated?

The volume of liquid moved during the experiment is calculated using the formula lac, where 'l' is the distance the boundary moves, 'a' is the cross-sectional area of the tube, and 'c' is the concentration of the acid in gram equivalents per liter.

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What is the relationship between gram equivalents and Faradays?

One gram equivalent of a substance carries one Faraday of electricity, which is equal to 96,500 Coulombs.

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How does the transport number of H+ relate to the total charge and other parameters?

The transport number of H+ is the fraction of the total current carried by H+ ions. It's calculated as t(H+) = (96500 * lac) / (1000 * Q), where Q is the total charge in coulombs, l is the distance the boundary moves, a is the cross-sectional area of the tube, and c is the concentration of the acid in gram equivalents per liter.

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What is the transport number of H+ (tH+)?

The transport number of H+ ions is the fraction of the total current carried by H+ ions in an electrolytic solution. It's calculated as the ratio of charge carried by H+ ions to the total charge.

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What are the advantages of the electrochemical transport number method?

This method is highly accurate, convenient, rapid, and can be used to study mixtures of colloidal ions like proteins.

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What is the total charge (Q) in the transport number calculation?

The total charge (Q) flowing through the circuit during a specific time is measured in coulombs and calculated as Q = I * t, where I is the current in amperes and t is the time in seconds.

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Why is the electrochemical transport number method advantageous in studying colloidal ion mixtures?

The electrochemical method can be employed to investigate mixtures containing colloidal ions, such as proteins. This method is useful for studying the behavior of these complex ions in solution.

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Study Notes

Electrochemistry Calculations

  • Hydrogen ions (H+) move towards the cathode.
  • Chloride ions (Cl-) move towards the anode.
  • Boundary movement: Boundary between solutions moves up.

Calculations

  • Consider a boundary moving a distance l (cm).
  • Volume moved up: la cc, where 'a' is cross-sectional area (sq cm)
  • Concentration of acid is 'c' (gram equivalents/liter)
  • Number of gram equivalents of H+ ions moved towards cathode = (lac/1000).

Faraday Electricity

  • One gram equivalent carries one Faraday of electricity.
  • Electricity carried by 1000 gram equivalent H+ ions = (96500 la c / 1000) Coulombs.

Coulometer

  • Total electricity flowing (Q coulombs).
  • Transport number of H+ ions (tH+): (96500 lac / 1000 Q)
  • Current (I) in amperes, Time (t) in seconds, Q=It

Advantages of the Method

  • Highly accurate.
  • More convenient than Hittorf's method.
  • Faster than other methods.
  • Applicable to mixtures of colloidal ions (e.g., proteins).

Units Note

  • SI units: Distance in meters (m), Area in square meters (m²), Volume in cubic meters (m³).

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Description

This quiz covers key topics in electrochemistry calculations, including the movement of ions, Faraday's laws, and coulometric measurements. Test your understanding of concepts such as volume displacement by ions, calculations of current, and the advantages of different methods in electrochemical analysis.

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