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Density

627 bytes added, 23 May
Finding Density from Mass and Volume
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| 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 2700kgm1700kgm<sup>-3</sup> then calculate the density of the [[alloy]]'''. | style="height:20px; width:300px; text-align:center;" |'''A 200,000cm[[Volume (Space)|volume]] of 4.9x10<sup>-3</sup>m<sup>3</sup> [[Volume (Space)|volumeCopper]] of and 1.1x10<sup>-3</sup>m<sup>3</sup> [[airZinc]] has a are [[massalloy]] ed together. Given the density of 245g. Calculate [[Copper]] is 8900kgm<sup>-3</sup> and the density of [[airZinc]] correct to two is 7100kgm<sup>-3</sup> then calculate the density of the [[Significant Figures|significant figuresalloy]]'''.
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| style="height:20px; width:300px; text-align:left;" |'''1. State the known quantities in [[SI Unit]]s'''
| style="height:20px; width:300px; text-align:left;" |'''1. State the known quantities in [[SI Unit]]s'''
[[MassCopper]] [[Volume (Space)|volume]] = 245g 4.9x10<sup>-3</sup>m<sup>3</sup> [[Copper]] [[Density]] = 08900kgm<sup>-3</sup> [[Zinc]] [[Volume (Space)|volume]] = 1.245kg1x10<sup>-3</sup>m<sup>3</sup> [[Zinc]] [[Density]] = 7100kgm<sup>-3</sup>
[[Volume (Space)|Volume]] = 200,000cm<sup>3</sup> = 0.2m<sup>3</sup>
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| 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}}{VV_{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>
| 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\rho_{Cu}V_{Cu}+\rho_{Zn}V_{Zn}}{VV_{Cu}+V_{Zn}}</math>
*<math>\rho = \frac{08900\times 4.9 \times 10^{-3} + 7100\times 1.2451 \times 10^{-3}}{04.9 \times 10^{-3} + 1.21 \times 10^{-3}}</math>
*<math>\rho = 1.225kg/m8600kgm^{-3}</math>
<math>\rho \approx 1However, 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]].2kg/m^3</math>
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