Gold, has a mass of 19.32g for wach cubic centimeter of volume, is most ductile metal and can be pressed into a thin leaf or drawn out into long fiber.
If a sample of gold, with a mass of 27.63g is pressed into a leaf of 1.000micometers thickness, what is the area of the leaf?
If instead the gold is drawn out into cylinder fiber of radius 2.500 micrometers, what is the length of the fiber?
my work:I think I've figured it out:
thickness is 1.000 micrometers
density=19.32
mass: 27.63
area=(27.63)/((19.32)(1.000))=1.43 (of leaf)
Volume=AxD=1.43x19.32=27.63
27.63=(pie)r^2L
27.63=(pie)(2.500)^2L=1.408 Length of leaf?
I don't follow all of your calculations although they may be correct. For the first part of the question, you don't tell us the shape of the leaf. We calculate the volume from the density.
mass = volume x density
27.63g = v x 19.32g/cc
v = 27.63/19.32 = 1.430 g/cc
That will be the volume of the leaf but without knowing if it is a circle, a rectangle, a square, or what, we can't calculate the area.
For the second part, the volume of a cylinder is volume = pi*r^2h (note pi is the Greek letter for pi and not the pie we eat).
Just plug in the values for v, pi, and r and calcualte the height (that is the length) in centimeters.
I hope this helps.
I think for the first one we could have V=A*h where A is the area and h is the height.
I'm not sure the shape is needed there.
still confused:(
Ok, here's what you've given us:
"Gold, has a mass of 19.32g for wach cubic centimeter of volume, is most ductile metal and can be pressed into a thin leaf or drawn out into long fiber.
If a sample of gold, with a mass of 27.63g is pressed into a leaf of 1.000micometers thickness, what is the area of the leaf?
If instead the gold is drawn out into cylinder fiber of radius 2.500 micrometers, what is the length of the fiber?"
We have mass = 19.32g (I think you meant for 'each' cm^3. Therefore we know the density. Let's summarize
density = 19.32g/cm^3
mass = 27.63g
density = mass/volume, or
volume = density/mass
(I'll let you do the calculations and show work here.)
The first question is:
"If a sample of gold, with a mass of 27.63g is pressed into a leaf of 1.000micometers thickness, what is the area of the leaf? "
Therefore height (or thickness) = 1.000micometers
The units need to be compatible, so you want to convert this to cm's
We also know that V=A*h (you should know this or see how to derive it)
That is, the surface area times the height will give the volume if the height is uniform. For this problem it is uniform.
Therefore, to calculate the area take A=V/h
I'm not sure that you converted the micrometers to cm's. If you do this, you should get an area in square cm's, i.e., Acm^2.
Does this help?
Yes that does help thank you. But what about the length? Is there a formula that will calculate the length for this?
The area is the question for the first part. The length is for the second part of the question and I detailed how to do that.
The fiber is cylinder
For the 2nd question, it appears to me that DrBob222 did suggest how to solve this problem, so I'll only attempt a clarification.
It seems we want to transform the mass of gold into a cylindrical piece of wire.
This problem is similar to the first, but this time we know (or should know) the area for a cross section of a cylinder is A = pi*r^2. Further, we know that the mass has to have the same volume, regardless of it's shape. Whether it's a cube, sphere or cylinder is immaterial. For the 2nd problem we need to convert the radius to cm's again. We then have
V = A*h = pi*r^2*h
I've used h for the height, but you could use l too; that's the dimension we want to find.
Use the volume you calculated earlier, determine the radius r in cm's and do the calculations. Show your work so we know where the difficulties are.
How do you solve this problem?
What is the volume of a fish tank that is 80 cm long, 32 cm wide and 26 cm high?
 👍
 👎
 👁
 ℹ️
 🚩
1 answer

I would assume it's 80x32x26 = 66560cm^3
 👍
 👎
 ℹ️
 🚩
answered by j
Answer this Question
Related Questions

Chemistry
Alicia's cheapskate boyfriend gave her a ring he claims is 24 carat gold. Alicia is skeptical. After chem class the next day she measures the mass of the ring, finds the volume of the ring by water displacement, and then calculates the density of the ring.

Physics
how do i write an equation showing that mass as a function of volume for gold? table shows volume (cm^3) 1.0 2.0 3.0 4.0 5.0 mass(g) 19.4 38.6 58.1 77.4 96.5

Science
Compute the density g/cm3 of a piece of metal that has a mass of 0.585 kg and a volume of 80 cubic cm

Chemistry and Math
A metal is thought to be copper or gold. When 18 g of the metal absorbs 58 cal, its temperature rises by 35 °C. a. What is the specific heat, in cal/g °C, of the metal? b. Would you identify the metal as copper or gold? The table we were given says:

Math
An open box is to be made from a square piece of material by cutting fourcentimeter squares from each corner and turning up the sides (see figure). The volume of the finished box is to be 144 cubic centimeters. Find the size of the original piece of

chemistry
Treatment of gold metal with BrF3 and KF produces Br2 and KAuF4, a salt of gold. Find the mass of the gold salt that forms when a 73.0 g mixture of equal masses of all three reactants is prepared.

chemistry
a copper sample has a mass of 44.65 g and a volume of 5.0cm^3. what is the density of copper, expressed as gram per cubic centimeter? can you please write the formula then show the working? thank you really appreciate it

Fluid Mechanics
A 6 kg. piece of metal displaces 1 liter of water when submerged. What is its density? The volume of the water dispaced was given, so... Density metal= massmetal/volumemetal The volume of water displaced is the same as the volume of the metal.

pre calc
A jeweler wants to make a 1 ounce ring composed of gold and silver, using $200 worth of metal. If gold costs $6000 per ounce and silver is $50 per ounce, how much of eat metal should she use?

Science
a sample of an unknown metal has a mass of 21.6g and a volume of 8.00cm^3 . calculate the density of the unknown metal

Chemistry
Iron pyrite is often called “fool’s gold” because it looks like gold. Suppose you have a solid that looks like gold, but you believe it to be fool’s gold. The sample has a mass of 23.5 g. When the sample is lowered into the water in a graduated

Chemistry
A 76.00pound flask of mercury costs $151.50. The density of mercury is 13.534 g/cm3. a) Find the price of one cubic inch of mercury by calculating the following intermediate values. What is the price of one pound of mercury? =$1.99 What is the price of

science
Calculate the buoyant force in air on a kilogram of gold (whose density is about 19 grams per cubic centimeter). The density of air is 1.3 ✕ 103 grams per cubic centimeter. Remember that the buoyant force is equal to the weight of a volume of air that

ap chemistry
A star is estimated to have a mass of 2 X 10^36 kg. Assuming it to be a sphere of average radius 7.o X 10^5 km. Calculate the average density of the star in units of grams per cubic centimeter

Chemistry
mass of empty flask with stopper = 32.634 g mass of flask with water and stopper = 59.479 g density of the water = 0.9973 g/cm^3 mass of water = 26.845 g volume of water = 26.918 cm^3 the flask is then emptied and an unknown substance is added mass of

Math
An open gift box is to be made from a square piece of material by cutting fourcentimeter squares from each corner and turning up the sides (see figure). The volume of the finished gift box is to be 324 cubic centimeters. Find the size of the original

Chemistry
A thief uses a bag of sand to replace a gold statue that sits on a weight sensitive alarmed pedestal. The bag of sand and the statue have exactly the same volume 1.75 L. Assume that the mass of the bag is negligible. A) calculate the mass. ( density of

Science
Calculate:what is the density of a metal block that has a mass of 750 grams and a volume of 55 cubic centimeters?

chemistry
Block A of an unknown metal has a volume of 125 cm3. Block B of a different metal has a volume of 145 cm3. If block A has a greater mass than block B, what can be said of the relative densities of the two metals? (Assume that both blocks are solid.)

math
Q 31 The sum of the weights of an iron piece and of a copper piece is 1280 gm. The volume of the copper piece is twice that of the iron piece. If the weight of 1 cubic centimeter of iron is 7.8 gm and that of copper is 8.9 gm. Find the volume of each piece
Still need help?
You can ask a new question or browse existing questions.