Expressing answers answers for numbers and unites.

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The current price of gold is $27 per gram, and with an estimated 170,000 tonnes mined, the total value of all gold is approximately $4.59 trillion. To convert the density of gold from grams per cubic centimeter to kilograms per cubic meter, the factor label method is suggested. The conversion requires knowing that 1 kg equals 1000 g and that 1 cm^3 equals 1 x 10^-6 m^3. The discussion emphasizes the need to fill in the conversion factors correctly to achieve the desired units. Understanding these conversions is crucial for solving the homework problems accurately.
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Homework Statement



""""
a) The price of gold, according to << Link removed by Moderator >>is currently $27 per gram. It is
estimated that over the course of history about 170,000 tonnes of gold has been mined,
what would the current price of all this gold be?
b) The density of gold is 19.3 g cm^-3. Express it in units of kgm^-3. """



Homework Equations



Not sure

The Attempt at a Solution



a) 4.59 x 10^12 (3 SF)
 
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Sun44 said:

Homework Statement



""""
a) The price of gold, according to << Link removed by Moderator >>is currently $27 per gram. It is
estimated that over the course of history about 170,000 tonnes of gold has been mined,
what would the current price of all this gold be?
b) The density of gold is 19.3 g cm^-3. Express it in units of kgm^-3. """



Homework Equations



Not sure

The Attempt at a Solution



a) 4.59 x 10^12 (3 SF)
Use the factor label method.

\frac{19.3 \ g}{cm^3} \cdot \frac{\text{ ? } kg}{\text{ ? } g} \cdot \frac{\text{ ? }}{\text{ ? }} = \text{The Answer}

You'll have to figure out what goes in place of all the "?". That is, how do you convert between g and kg? Also, how do you get the cm3 to become m3?
 
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