Question

8. Olympics medals have a diameter of 60mm and a thickness of 3mm . Gold has a density of 19g/cm3

. Work out

a) the volume of a gold medal
b) the mass of a gold medal.

Answer 1

Explanation:

The Olympics are just months away. Posted on the Official London Olympic Games website are the following facts about the medals of the games.

The Olympic medals are designed especially for each individual Olympic Games by the host city's organizing committee.

It was not until the 1904 Olympics in St. Louis that the Games introduced the gold medal as the prize for first place.

The London 2012 Olympic medals will weigh 375-400 g, be 85 mm in diameter and 7 mm thick.

The gold medal is made up of 92.5% silver and1.34% gold with the remainder being copper — a required minimum of 6 g of gold.

The silver medal is made up of 92.5% silver with the remainder copper.

The bronze medal is made up of 97.0% copper, 2.5% zinc and 0.5% tin.

Silver, gold, and bronze medals of the London 2012 Olympics.

London 2012 Olympic medals, taken from press release July 2011.

Plenty of good chemistry questions can be generated from the given data. If you study the data closely you will find a discrepancy, which can be discussed. Here are a few questions to start you off.

What is the volume of the medals?

The information seems to suggest that all the medals (gold, silver and bronze) have the same volume although the photo implies differently. (answer: 40 cm³).

Based on the website information, if the composition of the medal was consistent throughout (do not consider metal plating at this point) what is the maximum density of the Olympic metals? (answer: 10 g/cm³)

Have students determine which medal, based on the percent composition, would have the greatest overall density. Assume the medal alloys are ideal solutions. (answer: gold medal)

Answer 2

(a) Volume of cylinder = 8370mm³

(a) Volume of cylinder = 8370mm³ (b) Mass of the gold = 159 grams.

GIVEN

Olympics medals have a diameter of 60mm and a thickness of 3mm . Gold has a density of 19g/cm³.

TO FIND

a) the volume of a gold medal

b) the mass of a gold medal.

SOLUTION

We can simply solve the above problem as follows;

(a) The volume of a gold medal

Diameter of the medal = 60mm

Thickness of the medal = 3mm

We can observe that the medal can be assumed as a cylinder.

Therefore,

Volume of the medal can be taken out by the formula;

V = πr²h

Where,

r = radius of medal = 6/2 = 30mm

h = Thickness of the medal = 3mm

Volume of the gold medal =

$= 3.14 \times 30 \times 30 \times 3$

= 8370 mm³

(b) The mass of a gold medal.

We know that,

Density = Mass/Volume

19 × 8370 × 10⁻³ = Mass

= 159 grams

Hence,The answer are as follows;

Hence,The answer are as follows; (a) Volume of cylinder = 8370mm³

Hence,The answer are as follows; (a) Volume of cylinder = 8370mm³ (b) Mass of the gold = 159 grams.

#Spj2