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Zinc metal can be purified by distillation (transforming the liquid metal to vapor, then condensing the vapor back to liquid). The metal boils at normal atmospheric pressure at \(1666^{\circ} \mathrm{F}\). What is this temperature in degrees Celsius? in kelvin units?

Short Answer

Expert verified
The boiling point of zinc is approximately 907.78°C or 1180.93 K.

Step by step solution

01

Understand the Conversion Formula

The problem requires converting the boiling point of zinc from degrees Fahrenheit to both degrees Celsius and Kelvin. To do this, we need to use the formula to convert from Fahrenheit to Celsius: \[ C = \frac{5}{9} (F - 32) \]where \( C \) represents degrees Celsius and \( F \) represents degrees Fahrenheit.
02

Convert from Fahrenheit to Celsius

Substitute \( F = 1666 \) into the conversion formula to find \( C \):\[ C = \frac{5}{9} (1666 - 32) \]Calculate the result:\[ C = \frac{5}{9} \times 1634 = 907.78 \] Thus, the boiling point of zinc in degrees Celsius is approximately \(907.78^{\circ} \mathrm{C}\).
03

Understand the Celsius to Kelvin Conversion

Now we need to convert from degrees Celsius to Kelvin. The formula to convert Celsius to Kelvin is:\[ K = C + 273.15 \]where \( K \) represents Kelvin.
04

Convert from Celsius to Kelvin

Using the Celsius temperature we just found:\[ K = 907.78 + 273.15 \]Calculate the result:\[ K = 1180.93 \]Thus, the boiling point of zinc in Kelvin is approximately \(1180.93\, K\).

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Key Concepts

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

Boiling Point
The boiling point of a substance is a fascinating concept in the realm of chemistry and physics. It represents the temperature at which a liquid transforms into vapor under specific pressure conditions, usually atmospheric pressure. For zinc, this boiling point is a crucial factor, especially in industrial applications like purification. When zinc reaches its boiling point at around 1666°F, it starts changing from liquid to gas. This property is particularly useful in the distillation process, where the boiling point is used to separate impurities. By controlling the temperature, pure zinc can be vaporized, leaving behind undesirable materials. Understanding boiling points helps in a variety of scientific and practical scenarios. Moreover, knowing how to convert these temperatures into different units like Celsius and Kelvin is essential for laboratory work and global communication in science.
Zinc Purification
Zinc purification is an important industrial process that ensures the metal's quality and usability. The method often used is distillation, which takes advantage of zinc's specific boiling point. During this process:
  • Zinc is first heated until it boils at approximately 1666°F.
  • As it boils, zinc vaporizes and rises.
  • The vapors are then cooled and condensed back into a liquid, collecting as purified zinc.
This method effectively separates zinc from other impurities that do not vaporize at this boiling point. It's a powerful technique because it relies on basic principles of phase changes and temperature manipulation. Distillation is commonly used for purifying various metals and chemicals, making it a vital tool in metallurgical and chemical engineering fields.
Fahrenheit to Celsius Conversion
Converting temperatures from Fahrenheit to Celsius is a fundamental skill in science and everyday life. The formula is: \[ C = \frac{5}{9} (F - 32) \]Where:
  • \( C \) is the temperature in Celsius.
  • \( F \) is the temperature in Fahrenheit.
To convert the boiling point of zinc from 1666°F to Celsius, you take the steps:
  • Subtract 32 from the Fahrenheit temperature: 1666 - 32 = 1634.
  • Multiply the result by 5/9 to convert to Celsius: \( \frac{5}{9} \times 1634 = 907.78 \).
This process helps align different temperature measurement systems, enriching scientific exchanges across regions that utilize distinct units.
Celsius to Kelvin Conversion
In scientific contexts, Kelvin is often preferred because it is an absolute temperature scale with no negative numbers, which simplifies many calculations. Converting Celsius to Kelvin is straightforward using the formula:\[ K = C + 273.15 \]Where:
  • \( K \) is the temperature in Kelvin.
  • \( C \) is the temperature in Celsius.
For the boiling point of zinc, which is about 907.78°C, you simply add 273.15 to find it in Kelvin:
  • \( 907.78 + 273.15 = 1180.93 K \)
The Kelvin scale provides a consistent method for scientific inquiry and discussion. It's widely used in physics and chemistry to avoid the pitfalls of using temperatures that can become negative in Celsius or Fahrenheit scales.

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