Chapter 1: 21 (page 28)

In Wagner’s opera Das Rheingold,the goddess Freia is ransomed for a pile of gold just tall enough and wide enough to hide her from sight. Estimate the monetary value of this pile. The density of gold is 19.3 g/cm³, and take its value to be about $10 per gram.

Short Answer

Expert verified

The monetary value of the pile is $69.68 million dollar.

Step by step solution

Mass of pile

The dimension of the pile is $18 i n \times 18 i n \times 68 i n$ .

The volume of pile in cm³ will be,

$V = 18 i n \times 18 i n \times 68 i n V = 22032 i n^{3} \times {(\frac{2.54 c m}{1 i n})}^{3} V = 361039.794 c m^{3}$

Since the density of gold is role="math" localid="1647983648972" $ρ = 19.3 g / c m^{3}$ .

The mass of gold can be calculated as,

$m = ρ V m = (19.3 g / c m^{3}) (361039.794 c m^{3}) m = 6968068.025 g$

The calculation for monetary value

The price per gram is $c = $ 10 / g$ .

The price of the pile can be calculated as,

role="math" localid="1647984248778" $C = m c C = (6968068.025 g) ($ 10 / g) C = (6968068.025 g) \times \frac{1 m i l l i o n}{10^{6}} C = 69.68 m i l l i o n d o l l a r$

Thus, the monetary value of the pile is $69.68 million dollar.

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In Wagner’s opera Das Rheingold,the goddess Freia is ransomed for a pile of gold just tall enough and wide enough to hide her from sight. Estimate the monetary value of this pile. The density of gold is 19.3 g/cm³, and take its value to be about $10 per gram.

Short Answer

Step by step solution

Mass of pile

The calculation for monetary value

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In Wagner’s opera Das Rheingold,the goddess Freia is ransomed for a pile of gold just tall enough and wide enough to hide her from sight. Estimate the monetary value of this pile. The density of gold is 19.3 g/cm3, and take its value to be about $10 per gram.

Short Answer

Step by step solution

Mass of pile

The calculation for monetary value

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Physics of Motion

Space Physics

Particle Model of Matter

Torque and Rotational Motion

Measurements

Thermodynamics

Study anywhere. Anytime. Across all devices.

In Wagner’s opera Das Rheingold,the goddess Freia is ransomed for a pile of gold just tall enough and wide enough to hide her from sight. Estimate the monetary value of this pile. The density of gold is 19.3 g/cm³, and take its value to be about $10 per gram.