Difference between revisions of "Specific Heat Capacity"
(→Example Calculations) |
(→Example Calculations) |
||
| Line 27: | Line 27: | ||
===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]]. | ||
|- | |- | ||
Revision as of 11:26, 6 March 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.
- 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.
\(c = \frac{E}{m \Delta \theta}\) \(c = \frac{13000}{0.989 \times 15}\) \(c = 876.306033J/kg ^\circ C\) \(c \approx 880J/kg ^\circ C\) |