Difference between revisions of "Specific Heat Capacity"
(→Example Calculations) |
|||
| (8 intermediate revisions by 2 users not shown) | |||
| Line 6: | Line 6: | ||
: The [[SI Unit]]s of '''specific heat capacity''' are J/kg°C. | : The [[SI Unit]]s of '''specific heat capacity''' are J/kg°C. | ||
: '''Specific heat capacity''' describes how easily the [[temperature]] of a [[material]] can be changed. | : '''Specific heat capacity''' describes how easily the [[temperature]] of a [[material]] can be changed. | ||
| + | : Different [[material]]s have a different '''specific heat capacity'''. | ||
: [[Material]]s with a low '''specific heat capacity''' are generally good [[Thermal Conductor|thermal conductors]] and [[material]]s with a high '''specific heat capacity''' are generally good [[Thermal Insulator|thermal insulators]]. | : [[Material]]s with a low '''specific heat capacity''' are generally good [[Thermal Conductor|thermal conductors]] and [[material]]s with a high '''specific heat capacity''' are generally good [[Thermal Insulator|thermal insulators]]. | ||
| Line 15: | Line 16: | ||
<math>c = \frac{E}{m \Delta \theta}</math> | <math>c = \frac{E}{m \Delta \theta}</math> | ||
| − | Where | + | Where |
<math>c</math> = The [[Specific Heat Capacity]] of the [[material]]. | <math>c</math> = The [[Specific Heat Capacity]] of the [[material]]. | ||
| Line 27: | Line 28: | ||
===Example Calculations=== | ===Example Calculations=== | ||
{| class="wikitable" | {| class="wikitable" | ||
| − | | style="height:20px; width:300px; text-align:center;" |8.0kg of [[water]] is [[heat]]ed with an [[energy]] of 1510kJ from a [[temperature]] of 11°C to a [[temperature]] of 56°C. Calculate the '''specific heat capacity of the [[water]] correct to two [[Significant Figures|significant figures]]. | + | | style="height:20px; width:300px; text-align:center;" |8.0kg of [[water]] is [[heat]]ed with an [[energy]] of 1510kJ from a [[temperature]] of 11°C to a [[temperature]] of 56°C. Calculate the '''specific heat capacity''' of the [[water]] correct to two [[Significant Figures|significant figures]]. |
| style="height:20px; width:300px; text-align:center;" |A 989g block of [[metal]] is [[heat]]ed using an [[Immersion Heater|immersion heater]] from 24°C to 39°C. A [[Joulemeter]] connected to the [[Immersion Heater|immersion heater]] reads 13,000J. Calculate the '''specific heat capacity''' of the [[metal]] correct to two [[Significant Figures|significant figures]]. | | style="height:20px; width:300px; text-align:center;" |A 989g block of [[metal]] is [[heat]]ed using an [[Immersion Heater|immersion heater]] from 24°C to 39°C. A [[Joulemeter]] connected to the [[Immersion Heater|immersion heater]] reads 13,000J. Calculate the '''specific heat capacity''' of the [[metal]] correct to two [[Significant Figures|significant figures]]. | ||
|- | |- | ||
| Line 47: | Line 48: | ||
| style="height:20px; width:300px; text-align:left;" |'''2. [[Substitute (Maths)|Substitute]] the numbers into the [[equation]] and [[Solve (Maths)|solve]].''' | | style="height:20px; width:300px; text-align:left;" |'''2. [[Substitute (Maths)|Substitute]] the numbers into the [[equation]] and [[Solve (Maths)|solve]].''' | ||
| + | <math>c = \frac{E}{m \Delta \theta}</math> | ||
| + | |||
| + | <math>c = \frac{1510 \times 10^3}{8.0 \times 45}</math> | ||
| + | |||
| + | <math>c = 4194.4J/kg ^\circ C</math> | ||
| + | <math>c \approx 4200J/kg ^\circ C</math> | ||
| style="height:20px; width:300px; text-align:left;" |'''2. [[Substitute (Maths)|Substitute]] the numbers into the [[equation]] and [[Solve (Maths)|solve]].''' | | style="height:20px; width:300px; text-align:left;" |'''2. [[Substitute (Maths)|Substitute]] the numbers into the [[equation]] and [[Solve (Maths)|solve]].''' | ||
| + | |||
| + | <math>c = \frac{E}{m \Delta \theta}</math> | ||
| + | |||
| + | <math>c = \frac{13000}{0.989 \times 15}</math> | ||
| + | |||
| + | <math>c = 876.306033J/kg ^\circ C</math> | ||
| + | |||
| + | <math>c \approx 880J/kg ^\circ C</math> | ||
|} | |} | ||
| + | |||
| + | ===References=== | ||
| + | ====AQA==== | ||
| + | |||
| + | :[https://www.amazon.co.uk/gp/product/0008158770/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=0008158770&linkCode=as2&tag=nrjc-21&linkId=ec31595e720e1529e49876c3866fff6e ''Specifi heat capacity, pages 22-5, 92-3, GCSE Physics; Student Book, Collins, AQA ''] | ||
| + | :[https://www.amazon.co.uk/gp/product/0008158762/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=0008158762&linkCode=as2&tag=nrjc-21&linkId=a0fffa35b3ea49a63404f6704e0df7cc ''Specific heat capacity, page 187, GCSE Chemistry; Student Book, Collins, AQA ''] | ||
| + | :[https://www.amazon.co.uk/gp/product/1471851370/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1471851370&linkCode=as2&tag=nrjc-21&linkId=01c69b0ae058f809cf636033e6ba793e ''Specific heat capacity, pages 12, 73-4, GCSE Physics, Hodder, AQA ''] | ||
| + | :[https://www.amazon.co.uk/gp/product/1782945598/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782945598&linkCode=as2&tag=nrjc-21&linkId=ad276ad49df77ab4b40ab4fd0fe10297 ''Specific heat capacity, pages 170, 171, GCSE Combined Science; The Revision Guide, CGP, AQA ''] | ||
| + | :[https://www.amazon.co.uk/gp/product/1782945598/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782945598&linkCode=as2&tag=nrjc-21&linkId=ad276ad49df77ab4b40ab4fd0fe10342 ''Specific heat capacity, pages 170, 171, GCSE Combined Science; The Revision Guide, CGP, AQA ''] | ||
| + | :[https://www.amazon.co.uk/gp/product/1471851354/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1471851354&linkCode=as2&tag=nrjc-21&linkId=9012a0d354024419214fb3ad5ac44ba0 ''Specific heat capacity, pages 268, 325-6, GCSE Combined Science Trilogy 1, Hodder, AQA ''] | ||
| + | :[https://www.amazon.co.uk/gp/product/1782946403/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782946403&linkCode=as2&tag=nrjc-21&linkId=32a0abb60dff015b15b50e9b1d7b4644 ''Specific heat capacity, pages 29-31, 100, GCSE Combined Science Trilogy; Physics, CGP, AQA ''] | ||
| + | :[https://www.amazon.co.uk/gp/product/019835939X/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=019835939X&linkCode=as2&tag=nrjc-21&linkId=57e96876985fc39b1a3d8a3e3dc238b6 ''Specific heat capacity, pages 30-31, GCSE Physics; Third Edition, Oxford University Press, AQA ''] | ||
| + | :[https://www.amazon.co.uk/gp/product/1782945970/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782945970&linkCode=as2&tag=nrjc-21&linkId=a120d24dcc7cc7a58192069a3aafc1d2 ''Specific heat capacity, pages 30-32, 110, GCSE Physics; The Complete 9-1 Course for AQA, CGP, AQA ''] | ||
| + | :[https://www.amazon.co.uk/gp/product/1471851370/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1471851370&linkCode=as2&tag=nrjc-21&linkId=01c69b0ae058f809cf636033e6ba793e ''Specific heat capacity; calculating temperature of an object, page 14, GCSE Physics, Hodder, AQA ''] | ||
| + | :[https://www.amazon.co.uk/gp/product/1782946403/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782946403&linkCode=as2&tag=nrjc-21&linkId=32a0abb60dff015b15b50e9b1d7b4644 ''Specific heat capacity; investigating, pages 30, 31, GCSE Combined Science Trilogy; Physics, CGP, AQA ''] | ||
| + | :[https://www.amazon.co.uk/gp/product/1782945970/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782945970&linkCode=as2&tag=nrjc-21&linkId=a120d24dcc7cc7a58192069a3aafc1d2 ''Specific heat capacity; investigating, pages 31, 32, GCSE Physics; The Complete 9-1 Course for AQA, CGP, AQA ''] | ||
| + | :[https://www.amazon.co.uk/gp/product/1471851354/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1471851354&linkCode=as2&tag=nrjc-21&linkId=9012a0d354024419214fb3ad5ac44ba0 ''Specific heat capacity; investigation of, pages 269-70, GCSE Combined Science Trilogy 1, Hodder, AQA ''] | ||
| + | :[https://www.amazon.co.uk/gp/product/1471851370/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1471851370&linkCode=as2&tag=nrjc-21&linkId=01c69b0ae058f809cf636033e6ba793e ''Specific heat capacity; measurement of, pages 12-13, GCSE Physics, Hodder, AQA ''] | ||
| + | :[https://www.amazon.co.uk/gp/product/1471851354/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1471851354&linkCode=as2&tag=nrjc-21&linkId=9012a0d354024419214fb3ad5ac44ba0 ''Specific heat capacity; of water, page 326, GCSE Combined Science Trilogy 1, Hodder, AQA ''] | ||
| + | :[https://www.amazon.co.uk/gp/product/1471851354/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1471851354&linkCode=as2&tag=nrjc-21&linkId=9012a0d354024419214fb3ad5ac44ba0 ''Specific heat capacity; working out the temperature of a hot object, pages 270-1, GCSE Combined Science Trilogy 1, Hodder, AQA ''] | ||
| + | |||
| + | ====Edexcel==== | ||
| + | |||
| + | :[https://www.amazon.co.uk/gp/product/1292120223/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1292120223&linkCode=as2&tag=nrjc-21&linkId=068ecf40278c32406a7f1c6e66751417 ''Specific heat capacity, page 186, GCSE Physics, Pearson Edexcel ''] | ||
| + | :[https://www.amazon.co.uk/gp/product/1782945733/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782945733&linkCode=as2&tag=nrjc-21&linkId=2a2dbec9db6bf5766c0458d908fa0a52 ''Specific heat capacity, page 95, GCSE Physics; The Revision Guide, CGP, Edexcel ''] | ||
| + | :[https://www.amazon.co.uk/gp/product/1782945741/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782945741&linkCode=as2&tag=nrjc-21&linkId=30da4f2178da182547b62a7329d13b57 ''Specific heat capacity, pages 202, GCSE Combined Science; The Revision Guide, CGP, Edexcel ''] | ||
| + | :[https://www.amazon.co.uk/gp/product/1782948163/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782948163&linkCode=as2&tag=nrjc-21&linkId=0fdbfd5dd397d6e24a9dfb250f08587f ''Specific heat capacity, pages 304-306, GCSE Physics, CGP, Edexcel ''] | ||
Latest revision as of 09:07, 29 November 2019
Contents
Key Stage 4
Meaning
Specific heat capacity is the energy required to increase the temperature of 1kg of a material by 1°C.
About Specific Heat Capacity
- The SI Units of specific heat capacity are J/kg°C.
- Specific heat capacity describes how easily the temperature of a material can be changed.
- Different materials have a different specific heat capacity.
- Materials with a low specific heat capacity are generally good thermal conductors and materials with a high specific heat capacity are generally good thermal insulators.
Equation
NB: You do not need to remember the equation for specific heat capacity.
Specific Heat Capacity = (Energy Transferred)/[(Mass) x (Temperature Change)]
\(c = \frac{E}{m \Delta \theta}\)
Where
\(c\) = The Specific Heat Capacity of the material.
\(E\) = The Energy transferred to the object, by heating.
\(m\) = The mass of the object.
\(\Delta \theta\) = The Temperature change of the object.
Example Calculations
| 8.0kg of water is heated with an energy of 1510kJ from a temperature of 11°C to a temperature of 56°C. Calculate the specific heat capacity of the water correct to two significant figures. | A 989g block of metal is heated using an immersion heater from 24°C to 39°C. A Joulemeter connected to the immersion heater reads 13,000J. Calculate the specific heat capacity of the metal correct to two significant figures. |
| 1. State the known quantities in SI Units
E = 1510kJ = 1510x103J m = 8.0kg Δθ = 56-11 = 45°C |
1. State the known quantities in SI Units
E = 13,000J m = 989g = 0.989kg Δθ = 39-24 = 15°C |
| 2. Substitute the numbers into the equation and solve.
\(c = \frac{E}{m \Delta \theta}\) \(c = \frac{1510 \times 10^3}{8.0 \times 45}\) \(c = 4194.4J/kg ^\circ C\) \(c \approx 4200J/kg ^\circ C\) |
2. Substitute the numbers into the equation and solve.
\(c = \frac{E}{m \Delta \theta}\) \(c = \frac{13000}{0.989 \times 15}\) \(c = 876.306033J/kg ^\circ C\) \(c \approx 880J/kg ^\circ C\) |
References
AQA
- Specifi heat capacity, pages 22-5, 92-3, GCSE Physics; Student Book, Collins, AQA
- Specific heat capacity, page 187, GCSE Chemistry; Student Book, Collins, AQA
- Specific heat capacity, pages 12, 73-4, GCSE Physics, Hodder, AQA
- Specific heat capacity, pages 170, 171, GCSE Combined Science; The Revision Guide, CGP, AQA
- Specific heat capacity, pages 170, 171, GCSE Combined Science; The Revision Guide, CGP, AQA
- Specific heat capacity, pages 268, 325-6, GCSE Combined Science Trilogy 1, Hodder, AQA
- Specific heat capacity, pages 29-31, 100, GCSE Combined Science Trilogy; Physics, CGP, AQA
- Specific heat capacity, pages 30-31, GCSE Physics; Third Edition, Oxford University Press, AQA
- Specific heat capacity, pages 30-32, 110, GCSE Physics; The Complete 9-1 Course for AQA, CGP, AQA
- Specific heat capacity; calculating temperature of an object, page 14, GCSE Physics, Hodder, AQA
- Specific heat capacity; investigating, pages 30, 31, GCSE Combined Science Trilogy; Physics, CGP, AQA
- Specific heat capacity; investigating, pages 31, 32, GCSE Physics; The Complete 9-1 Course for AQA, CGP, AQA
- Specific heat capacity; investigation of, pages 269-70, GCSE Combined Science Trilogy 1, Hodder, AQA
- Specific heat capacity; measurement of, pages 12-13, GCSE Physics, Hodder, AQA
- Specific heat capacity; of water, page 326, GCSE Combined Science Trilogy 1, Hodder, AQA
- Specific heat capacity; working out the temperature of a hot object, pages 270-1, GCSE Combined Science Trilogy 1, Hodder, AQA
Edexcel
- Specific heat capacity, page 186, GCSE Physics, Pearson Edexcel
- Specific heat capacity, page 95, GCSE Physics; The Revision Guide, CGP, Edexcel
- Specific heat capacity, pages 202, GCSE Combined Science; The Revision Guide, CGP, Edexcel
- Specific heat capacity, pages 304-306, GCSE Physics, CGP, Edexcel