Density - Revision history

NRJC: /* Finding Density from Mass and Volume */

2024-05-23T15:51:28Z

‎Finding Density from Mass and Volume

NRJC: /* Finding Density from Mass and Volume */

2024-05-23T15:50:13Z

‎Finding Density from Mass and Volume

NRJC: /* Density of a composite or alloy material */

2024-05-23T15:43:14Z

‎Density of a composite or alloy material

NRJC: /* Key Stage 5 */

2024-05-23T15:41:57Z

‎Key Stage 5

NRJC: /* Density of a composite or alloy material */

2024-05-23T15:22:58Z

‎Density of a composite or alloy material

NRJC: /* Formula */

2024-05-23T15:22:28Z

‎Formula

NRJC: /* About Density */

2024-05-23T15:17:03Z

‎About Density

NRJC: /* Examples */

2024-05-23T15:10:20Z

‎Examples

NRJC: /* Formula */

2024-05-23T15:09:36Z

‎Formula

NRJC: /* Key Stage 5 */

2024-05-23T15:09:23Z

‎Key Stage 5

@@ Line 337: / Line 337: @@
 ===Example Calculations===
-====Finding Density from Mass and Volume====
+====Finding Density of an Alloy given the density and volume of its composites====
 {| class="wikitable"
 |-

@@ Line 340: / Line 340: @@
 {| class="wikitable"
 |-
-| style="height:20px; width:300px; text-align:center;" |'''A [[Volume (Space)|volume]] of 6.35x10<sup>-3</sup>m<sup>3</sup> [[Aluminium]] and 4.10x10<sup>-3</sup>m<sup>3</sup> Magnesium are [[alloy]]ed together. Given the density of [[Aluminium]] is 2700kgm<sup>-3</sup> and the density of [[Magnesium]] is 2700kgm<sup>-3</sup> then calculate the density of the [[alloy]]'''.
+| style="height:20px; width:300px; text-align:center;" |'''A [[Volume (Space)|volume]] of 6.35x10<sup>-3</sup>m<sup>3</sup> [[Aluminium]] and 4.10x10<sup>-3</sup>m<sup>3</sup> [[Magnesium]] are [[alloy]]ed together. Given the density of [[Aluminium]] is 2700kgm<sup>-3</sup> and the density of [[Magnesium]] is 1700kgm<sup>-3</sup> then calculate the density of the [[alloy]]'''.
-| style="height:20px; width:300px; text-align:center;" |A 200,000cm<sup>3</sup> [[Volume (Space)|volume]] of [[air]] has a [[mass]] of 245g. Calculate the density of [[air]] correct to two [[Significant Figures|significant figures]].
 |-
 | style="height:20px; width:300px; text-align:left;" |'''1. State the known quantities in [[SI Unit]]s'''
@@ Line 355: / Line 356: @@
 | style="height:20px; width:300px; text-align:left;" |'''1. State the known quantities in [[SI Unit]]s'''
-[[Mass]] = 245g = 0.245kg
+[[Copper]] [[Volume (Space)|volume]] = 4.9x10<sup>-3</sup>m<sup>3</sup>
 |-
 | style="height:20px; width:300px; text-align:left;" |'''2. [[Substitute (Maths)|Substitute]] the numbers into the [[equation]] and [[Solve (Maths)|solve]].'''
-*<math>\rho = \frac{\rho_{Al}V_{Al}+\rho_{Mg}V_{Mg}}{V}</math>
+*<math>\rho = \frac{\rho_{Al}V_{Al}+\rho_{Mg}V_{Mg}}{V_{Al}+V_{Mg}}</math>
 *<math>\rho = \frac{2700\times 6.35 \times 10^{-3} + 1700\times 4.10 \times 10^{-3}}{6.35 \times 10^{-3} + 4.10 \times 10^{-3}}</math>
@@ Line 372: / Line 378: @@
 | style="height:20px; width:300px; text-align:left;" |'''2. [[Substitute (Maths)|Substitute]] the numbers into the [[equation]] and [[Solve (Maths)|solve]].'''
-<math>\rho = \frac{m}{V}</math>
+*<math>\rho = \frac{\rho_{Cu}V_{Cu}+\rho_{Zn}V_{Zn}}{V_{Cu}+V_{Zn}}</math>
-<math>\rho = \frac{0.245}{0.2}</math>
+*<math>\rho = \frac{8900\times 4.9 \times 10^{-3} + 7100\times 1.1 \times 10^{-3}}{4.9 \times 10^{-3} + 1.1 \times 10^{-3}}</math>
-<math>\rho = 1.225kg/m^3</math>
+*<math>\rho = 8600kgm^{-3}</math>
-<math>\rho \approx 1.2kg/m^3</math>
+However, this assumes that the total [[Volume (Space)|volume]] of the [[object]] is simply the [[sum]] of the two [[Volume (Space)|volumes]] which is not necessarily the case due to the way different sized [[particle]]s form a [[lattice]].
 |}

@@ Line 321: / Line 321: @@
 *<math>\rho = \frac{\rho_1V_1}{V}+\frac{\rho_2V_2}{V}</math>
 ρ = The [[density]] of the [[alloy]]
@@ Line 333: / Line 335: @@
 V = The total [[Volume (Space)|volume]] taken up by the [[alloy]]
 ===Example Calculations===

@@ Line 334: / Line 334: @@
 V = The total [[Volume (Space)|volume]] taken up by the [[alloy]]
-*The '''density''' of [[water]] is approximately 1000 kg/m³.
+===Example Calculations===
-*The '''density''' of [[gold]] is much higher than that of [[aluminium]], making [[gold]] heavier for the same [[Volume (Space)|volume]].
+====Finding Density from Mass and Volume====

@@ Line 318: / Line 318: @@
 ====Density of a composite or alloy material====
-*<math>\rho = \frac{\rho_1V_1+/rho_2V_2}{V}</math>
+*<math>\rho = \frac{\rho_1V_1+\rho_2V_2}{V}</math>
 *<math>\rho = \frac{\rho_1V_1}{V}+\frac{\rho_2V_2}{V}</math>

@@ Line 303: / Line 303: @@
 ===Formula===
-'''Density''' is given by the formula:
+====Density of a single material====
 *<math>\rho = \frac{m}{V}</math>
@@ Line 314: / Line 315: @@
 V = The [[Volume (Space)|volume]] taken up by the [[object]].
 ===Examples===

@@ Line 299: / Line 299: @@
 *The [[density]] of a substance can change with [[temperature]] and [[pressure]].
 *'''Density''' is used in calculating the [[mass]] of an [[object]] given its [[Volume (Space)|volume]], and vice versa.
 ===Formula===

@@ Line 301: / Line 301: @@
 ===Formula===
-Given by the formula
-𝜌 = 𝑚𝑉
+'''Density''' is given by the formula:
- , where
-𝜌
+<math>\rho = \frac{m}{V}</math>
-ρ is the density,
-𝑚
+Where:
-m is the mass, and
-𝑉
+ρ = The [[density]] of the [[object]].
-V is the volume.
 ===Examples===
 The density of water is approximately 1000 kg/m³.
 The density of gold is much higher than that of [[aluminium]], making gold heavier for the same volume.