A merchant in Katmandu sells you a solid gold 1-kg statue for a very reasonable price. When you get home, you wonder whether or not you got a bargain, so you lower the statue into a measuring cup and measure its volume. What volume will verify that it's pure gold?
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I got that it would be about 51.81 cm^3 since v=m/d,...
v = (1000kg)/(19.3 g/cm^3)
v = 51.81 cm^3
Does this look right to anybody?
Where did you get the 19.3 from?
The answer is correct. But, be careful in the work. In your work, you are using 1000kg when you mean 1000g or 1kg. You knew what you meant, but you might lose some points in the work.
Oh ok! Thanks for pointing it out :-) I appreciate it!
the 19.3 is the density of gold per cubic centimeter
Yes, your calculation is correct. To determine the volume of the solid gold statue, you can use the formula v = m/d, where v represents volume, m represents mass, and d represents density.
In this case, the mass of the statue is given as 1 kg. However, the density of pure gold is typically measured in g/cm^3. Therefore, you need to convert the mass from kg to g before calculating the volume.
To convert 1 kg to g, multiply it by 1000:
1 kg * 1000 g/kg = 1000 g
The density of pure gold is approximately 19.3 g/cm^3. Now, you can apply the formula:
v = (1000 g) / (19.3 g/cm^3)
By dividing 1000 g by 19.3 g/cm^3, you get:
v ≈ 51.81 cm^3
Therefore, a volume of approximately 51.81 cm^3 would verify that the statue is pure gold.