Examination-Style Questions. Density of Material Questions (b)(i)(ii)

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Homework Help Overview

The discussion revolves around a problem related to the density of materials, specifically focusing on the composition of brass, which is an alloy of copper and zinc. Participants are exploring how to calculate the mass of each component in a given volume of brass and subsequently determine its overall density.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to apply the formula for density (p = m/v) to find the masses of copper and zinc in brass. Some participants question the assumption that the densities of the components can be averaged directly, suggesting a need for deeper consideration of volume fractions and mass contributions.

Discussion Status

The discussion is ongoing, with participants raising questions about the calculations and the assumptions involved in determining the density of brass. Some guidance has been offered through questions that prompt further exploration of the relationships between volume, mass, and density.

Contextual Notes

Participants are working under the constraints of a homework assignment, which may limit the information they can use or the methods they can apply. There is an emphasis on understanding the implications of volume percentages in the context of density calculations.

54088
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i have done few simple questions by using p = m/v to calculate the mass, volume and density, but for this question, i don't know how to do it. Please help ^^"
(a) Define the density of a material.
>Density is the mass of the material per unit volume.

(b)Brass, an alloy of copper and zinc, consists of 70% BY VOLUME of copper and 30% BY VOLUME of zinc.
Density of Copper = 8.9 x 10^3kgm^-3
Density of Zinc = 7.1 x 10^3kgm^-3

(i)Determine the mass of copper and the mass of zinc required to make a rod of bras of volume 0.80 x 10^-3m^3
hmm..Cu = Mass x 70% x 8.9 x 10^3kgm^-3, Zn = Mass x 30% x 7.1 x 10^3kgm^-3...?
(ii)Calculate the density of brass.
I think i will know how to do this question if i know the answer for (i)... = =
 
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oh yeah, for question (ii), should i just add up the two densities and divided by 2?...
 
Can someone answer for me please...
 
54088 said:
oh yeah, for question (ii), should i just add up the two densities and divided by 2?...

If you're told that brass is made of 70% copper (by volume) and 30% zinc (also by volume), why would you expect the density of brass to be made of equal portions?
 
jdwood983 said:
If you're told that brass is made of 70% copper (by volume) and 30% zinc (also by volume), why would you expect the density of brass to be made of equal portions?

so what should i do?
 
Not to sound cryptic, but I'll answer your question with another question: If you had to make a piece of copper that that had a volume of [itex]0.8\times10^{-3} \mathrm{m^3}[/itex], how would you go about finding the mass required? And if the previous volume were to be made of only zinc, what would its mass be?
 

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