Difference between revisions of "Specific Charge"
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====Calculating Specific Charge==== | ====Calculating Specific Charge==== | ||
{| class="wikitable" | {| class="wikitable" | ||
| − | | style="height:20px; width: | + | | style="height:20px; width:300px; text-align:center;" |Find the '''specific charge of a [[proton]]. |
| − | | style="height:20px; width: | + | | style="height:20px; width:300px; text-align:center;" |Find the '''specific charge''' of a [[Magnesium|Magnesium-24]] 2+ [[ion]]. |
|- | |- | ||
| − | | style="height:20px; width: | + | | style="height:20px; width:300px; text-align:left;" |'''1. State the known quantities in [[SI Unit]]s.''' |
| − | | style="height:20px; width: | + | |
| + | <math>Q_{proton} = 1\times1.60\times10^{-19}Coulombs</math> | ||
| + | |||
| + | <math>Mass_{proton} = 1\times1.67\times10^{-27}kilograms</math> | ||
| + | |||
| + | | style="height:20px; width:300px; text-align:left;" |'''1. State the known quantities in [[SI Unit]]s.''' | ||
| + | |||
| + | The [[Electrical Charge|charge]] on an [[Magnesium|Mg]] 2+ [[ion]] is 2 x [[Elementary Charge|elementary charge]]. | ||
| + | |||
| + | <math>Q_{Mg+2} = 2\times1.60\times10^{-19}Coulombs</math> | ||
| + | |||
| + | The [[mass]] of [[Magnesium|Magnesium-24]] 2+ [[ion]] is the mass of 24 [[nucleon]]s + 10 [[electron]]s. | ||
| + | |||
| + | <math>Mass_{Mg-24} = 24\times1.67\times10^{-27}kilograms + 10\times9.11\times10^{-31}</math> | ||
|- | |- | ||
| − | | style="height:20px; width: | + | | style="height:20px; width:300px; text-align:left;" |'''2. [[Substitute (Maths)|Substitute]] the numbers and [[Evaluate (Maths)|evaluate]].''' |
| − | | style="height:20px; width: | + | |
| + | <math>S.C. = \frac{Q}{m}</math> | ||
| + | |||
| + | <math>S.C. = \frac{1\times1.60\times10^{-19}}{1\times1.67\times10^{-27}}</math> | ||
| + | |||
| + | | style="height:20px; width:300px; text-align:left;" |'''2. [[Substitute (Maths)|Substitute]] the numbers and [[Evaluate (Maths)|evaluate]].''' | ||
| + | |||
| + | <math>S.C. = \frac{Q}{m}</math> | ||
| + | |||
| + | <math>S.C. = \frac{2\times1.60\times10^{-19}}{24\times1.67\times10^{-27}kilograms + 10\times9.11\times10^{-31}}</math> | ||
| + | |||
|- | |- | ||
| − | | style="height:20px; width: | + | | style="height:20px; width:300px; text-align:left;" |'''3. [[Solve (Maths)|solve]] the equation.''' |
| − | | style="height:20px; width: | + | |
| + | <math>S.C. = \frac{Q}{m}</math> | ||
| + | |||
| + | <math>S.C. = \frac{1.60\times10^{-19}}{1.67\times10^{-27}}</math> | ||
| + | |||
| + | <math>S.C. = 9.58\times10^{7}Ckg^{-1}</math> | ||
| + | |||
| + | | style="height:20px; width:300px; text-align:left;" |'''3. [[Solve (Maths)|solve]] the equation.''' | ||
| + | |||
| + | <math>S.C. = \frac{Q}{m}</math> | ||
| + | |||
| + | <math>S.C. = \frac{3.20\times10^{-19}}{4.01\times10^{-26}}</math> | ||
| + | |||
| + | <math>S.C. = 7.98\times10^{6}Ckg^{-1}</math> | ||
|} | |} | ||
Revision as of 14:51, 28 July 2019
Contents
Key Stage 5
Meaning
Specific charge is the ratio of the charge of a particle to its mass shown in the equation \(S.C. = \frac{Q}{m}\) where 'Q' is the charge of the particle and 'm' is the mass of the particle.
About Specific Charge
- The SI Units for specific charge are the Coulomb per kilogram (Ckg-1).
- The specific charge of a particle is a useful quantity when using a mass spectrometer or cloud chamber as it determines the rate of curvature of a particle with a given its velocity through a known magnetic flux density.
Equation
\(S.C. = \frac{Q}{m}\)
Where
\(S.C. =\) The specific charge of a particle.
\(Q =\) The charge of the particle.
\(m =\) The mass of the particle.
Example Calculations
Calculating Specific Charge
| Find the specific charge of a proton. | Find the specific charge of a Magnesium-24 2+ ion. |
| 1. State the known quantities in SI Units.
\(Q_{proton} = 1\times1.60\times10^{-19}Coulombs\) \(Mass_{proton} = 1\times1.67\times10^{-27}kilograms\) |
1. State the known quantities in SI Units.
The charge on an Mg 2+ ion is 2 x elementary charge. \(Q_{Mg+2} = 2\times1.60\times10^{-19}Coulombs\) The mass of Magnesium-24 2+ ion is the mass of 24 nucleons + 10 electrons. \(Mass_{Mg-24} = 24\times1.67\times10^{-27}kilograms + 10\times9.11\times10^{-31}\) |
| 2. Substitute the numbers and evaluate.
\(S.C. = \frac{Q}{m}\) \(S.C. = \frac{1\times1.60\times10^{-19}}{1\times1.67\times10^{-27}}\) |
2. Substitute the numbers and evaluate.
\(S.C. = \frac{Q}{m}\) \(S.C. = \frac{2\times1.60\times10^{-19}}{24\times1.67\times10^{-27}kilograms + 10\times9.11\times10^{-31}}\) |
| 3. solve the equation.
\(S.C. = \frac{Q}{m}\) \(S.C. = \frac{1.60\times10^{-19}}{1.67\times10^{-27}}\) \(S.C. = 9.58\times10^{7}Ckg^{-1}\) |
3. solve the equation.
\(S.C. = \frac{Q}{m}\) \(S.C. = \frac{3.20\times10^{-19}}{4.01\times10^{-26}}\) \(S.C. = 7.98\times10^{6}Ckg^{-1}\) |
Calculating Charge
| Calculate the charge of an ion with a specific charge of .... and a mass of ..... | Calculate the charge of a nucleus with a specific charge of .... and a mass of ...... and identify the element. |
| 1. State the known quantities in SI Units. | 1. State the known quantities in SI Units. |
| 2. Substitute the numbers and evaluate. | 2. Substitute the numbers and evaluate. |
| 3. Rearrange the equation and solve. | 3. Rearrange the equation and solve. |
Calculating Mass
| Calculate the mass of a particle with an charge of .... and a specific charge of ..... | Calculate the mass of a particle with an charge of .... and a specific charge of ..... |
| 1. State the known quantities in SI Units. | 1. State the known quantities in SI Units. |
| 2. Substitute the numbers and evaluate. | 2. Substitute the numbers and evaluate. |
| 3. Rearrange the equation and solve. | 3. Rearrange the equation and solve. |
Calculating Atomic Mass
| Calculate the atomic mass of the nucleus of an isotope of Lead with a specific charge of ........ | Calculate the atomic mass of the nucleus of an isotope of Iron with the specific charge of ........ for an Iron 3+ ion. |
| 1. State the known quantities in SI Units. | 1. State the known quantities in SI Units. |
| 2. Substitute the numbers and evaluate. | 2. Substitute the numbers and evaluate. |
| 3. Rearrange the equation and solve. | 3. Rearrange the equation and solve. |
Calculating the number of Neutrons
| Calculate the number of neutrons in an isotope of Titanium with a specific charge of ........ | Calculate the number of neutrons in an isotope of Neon with the specific charge of ....... for a Neon 2- ion. |
| 1. State the known quantities in SI Units. | 1. State the known quantities in SI Units. |
| 2. Substitute the numbers and evaluate. | 2. Substitute the numbers and evaluate. |
| 3. Rearrange the equation and solve. | 3. Rearrange the equation and solve. |
Calculating Atomic Number
| Calculate the number of protons in a atomic nucleus of an isotope with a mass of ..... and a specific charge of ....... | Calculate the number of protons in a atomic nucleus of an isotope with a mass of ..... and the specific charge of ....... for its 5+ ion. |
| 1. State the known quantities in SI Units. | 1. State the known quantities in SI Units. |
| 2. Substitute the numbers and evaluate. | 2. Substitute the numbers and evaluate. |
| 3. Rearrange the equation and solve. | 3. Rearrange the equation and solve. |