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The melting point of gold is \(1064^{\circ} \mathrm{C},\) and the boiling point is \(2660^{\circ} \mathrm{C}\) . (a) Express these temperatures in kelvins. (b) Compute the difference between these temperatures in Celsius degrees and kelvins.

Short Answer

Expert verified
The melting point of gold in Kelvin is 1337.15 K, and the boiling point in Kelvin is 2933.15 K. The difference in both Celsius and Kelvin is 1596 degrees.

Step by step solution

01

- Convert the Melting Point to Kelvin

Use the conversion formula to change the melting point from Celsius to Kelvin. The formula is K = C + 273.15. So for the melting point, K = 1064 + 273.15.
02

- Convert the Boiling Point to Kelvin

Use the same conversion formula for the boiling point. The formula again is K = C + 273.15. So for the boiling point, K = 2660 + 273.15.
03

- Calculate the Difference in Celsius

Subtract the melting point in Celsius from the boiling point in Celsius to find the difference: D = 2660 - 1064.
04

- Calculate the Difference in Kelvin

The temperature difference in Kelvin is the same as in Celsius because the scale increments are identical. Therefore, the difference in kelvins is the same as the difference in Celsius degrees calculated in the previous step.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Melting Point of Gold
Understanding the melting point of gold is essential for several industries, including jewelry making and electronics. The melting point is the temperature at which a solid substance changes to a liquid state. For gold, this occurs at a relatively high temperature of 1064 degrees Celsius (°C). This property is useful for purifying gold, as contaminants can be separated when the metal liquefies. Gold's high melting point also means it can perform effectively in high-temperature environments without altering its form.

Remembering that the melting point is a distinct physical property helps understand its importance in characterizing substances and ensuring that they're suitable for their intended use.
Boiling Point
The boiling point of a substance is another crucial physical property, indicating the temperature at which the substance changes from a liquid to a vapor. Gold boasts a boiling point of 2660 °C, which is exceptionally high. This characteristic makes gold valuable not only in jewelry but also in aerospace and industrial applications where it might be exposed to extreme temperatures and hence needs to maintain its form and properties without vaporizing.

Understanding the boiling point is also critical in chemical processes and refinement, as it dictates conditions for reactions and helps in the purification of metals.
Celsius to Kelvin Conversion
Temperature scales are tools to measure thermal energy, and two of the most commonly used scales are Celsius and Kelvin. When converting temperature from Celsius to Kelvin, we use a simple addition: Kelvin (K) = Celsius (°C) + 273.15. This conversion factor is vital for scientists and engineers working across different measurement systems.

For instance, the melting point of gold in Kelvin is calculated by adding 273.15 to the Celsius value, leading to 1337.15 K. Such conversions are crucial in scientific experimentation and documentation, ensuring consistency across international borders where various temperature scales may be used.
Temperature Scales
The temperature scales of Celsius and Kelvin are based on different reference points. Celsius is designed around the properties of water, with 0°C being the freezing point and 100°C the boiling point at sea level atmospheric pressure. Kelvin, on the other hand, is an absolute temperature scale, starting at absolute zero (-273.15°C), the theoretical point where particle motion ceases.

While Celsius is often used in daily life and some fields of science, Kelvin is the SI unit for temperature, making it widely used in physics and chemistry. It's important for students to understand how to work with both scales for comprehensive scientific literacy.
Physical Properties of Gold
Gold is well-known not just for its allure but also for its remarkable physical properties, which make it a highly esteemed material. Gold is ductile, malleable, and a good conductor of electricity and heat. It is also resistant to corrosion and most chemical reactions, which makes it an ideal material for electronic connectors, dental fillings, and corrosion-resistant coatings. Its aesthetic properties combined with its non-reactivity make it a preferred metal for jewelry.

Whether discussing its melting point or its conductivity, gold's physical properties are intrinsic to its value and utility in various applications, from the practical to the luxurious.

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Most popular questions from this chapter

The temperature difference between the inside and the outside of an automobile engine is \(450^{\circ} \mathrm{C} .\) Express this temperature difference on (a) the Fahrenheit scale and (b) the Kelvin scale.

A liquid has a density \(\rho .\) (a) Show that the fractional change in density for a change in temperature \(\Delta T\) is \(\Delta \rho / \rho=-\beta \Delta T\) . What does the negative sign signify? (b) Fresh water has a maximum density of 1.0000 \(\mathrm{g} / \mathrm{cm}^{3}\) at \(4.0^{\circ} \mathrm{C} .\) At \(10.0^{\circ} \mathrm{C},\) its density is \(0.9997 \mathrm{g} / \mathrm{cm}^{3} .\) What is \(\beta\) for water over this temperature interval?

Imagine a baby alien playing with a spherical balloon the size of the Earth in the outer solar system. Helium gas inside the balloon has a uniform temperature of 50.0 \(\mathrm{K}\) due to radiation from the Sun. The uniform pressure of the helium is equal to normal atmospheric pressure on Earth. (a) Find the mass of the gas in the balloon. (b) The baby blows an additional mass of \(8.00 \times 10^{20} \mathrm{kg}\) of helium into the balloon. At the same time, she wanders closer to the Sun and the pressure in the balloon doubles. Find the new temperature inside the balloon, whose volume remains constant.

The mass of a hot-air balloon and its cargo (not including the air inside) is 200 \(\mathrm{kg}\) . The air outside is at \(10.0^{\circ} \mathrm{C}\) and 101 \(\mathrm{kPa}\) . The volume of the balloon is 400 \(\mathrm{m}^{3}\) . To what temperature must the air in the balloon be heated before the balloon will lift off? (Air density at \(10.0^{\circ} \mathrm{C}\) is \(1.25 \mathrm{kg} / \mathrm{m}^{3} . )\)

One mole of oxygen gas is at a pressure of 6.00 atm and a temperature of \(27.0^{\circ} \mathrm{C}\) (a) If the gas is heated at constant volume until the pressure triples, what is the final temperature? (b) If the gas is heated until both the pressure and volume are doubled, what is the final temperature?

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