Problem 87 Make the following conversions u... [FREE SOLUTION]

Chapter 1: Problem 87

Make the following conversions using the conversion charts: A temperature of 120掳C to kelvins

Short Answer

Expert verified

A temperature of 120掳C can be converted to Kelvin using the formula \( T(K) = T(掳C) + 273.15 \). Plugging in the given Celsius value, we get \( T(K) = 120 + 273.15 = 393.15 \). Thus, 120掳C is equivalent to 393.15 K.

Step by step solution

Understanding the Celsius and Kelvin scales

The Celsius scale is a temperature scale that is defined by the freezing point of water at 0掳C and the boiling point at 100掳C at atmospheric pressure. The Kelvin scale is another temperature scale, which is often used in scientific applications. It is an absolute temperature scale, meaning that 0 K (Kelvin) represents absolute zero, the theoretical lowest possible temperature. In order to convert a temperature value from Celsius to Kelvin, all we need to do is add 273.15 to the Celsius value because there is a difference of 273.15 degrees between the two scales at the freezing point of water.

Apply the conversion formula

Now that we know the relationship between Celsius and Kelvin, we can use the conversion formula: \[ T(K) = T(掳C) + 273.15 \] Where: - T(K) represents the temperature in Kelvin - T(掳C) represents the temperature in Celsius In this case, we are given a temperature of 120掳C and we want to convert it to Kelvin.

Calculate the temperature in Kelvin

Now, we can plug the given Celsius value into the formula: \[ T(K) = 120 + 273.15 \] Performing the calculation, we get: \[ T(K) = 393.15 \]

Present the final answer

So, a temperature of 120掳C is equivalent to 393.15 K. The conversion has been successfully completed.

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Key Concepts

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

Celsius to Kelvin

Temperature conversion from Celsius to Kelvin is a straightforward process. The Celsius and Kelvin scales are used to measure temperature, but they start from different zero points.

Unlike Celsius, which is based on the freezing and boiling points of water, the Kelvin scale starts at absolute zero. Absolute zero is the temperature at which all molecular motion stops. In this scale, water freezes at 273.15 K, not 0 degrees as in Celsius.

Converting Celsius to Kelvin is simple. You add 273.15 to the Celsius temperature to get its equivalent in Kelvin.

For example, to convert 120掳C to Kelvin, add 273.15.

The result is 393.15 K.

This direct conversion means there are no negative values to worry about, making scientific calculations easier.

Temperature Scales

Understanding different temperature scales is crucial. The Celsius scale and the Kelvin scale are widely used, each with its own purpose:

The Celsius scale, based around water's phase changes, is common in everyday use and meteorology.
Kelvin, used mainly in scientific contexts, measures absolute temperature, critical for precision.

It's important to grasp their core characteristics. While Celsius uses freezing and boiling points of water as reference temperatures, Kelvin begins at absolute zero.

Thanks to this difference, Kelvin has no negative temperatures. This is particularly useful when dealing with gases and scientific calculations where absolute values are preferable.

Knowing these scales helps in comprehending the vast range of conditions scientists and professionals work with daily.

Conversion Formula

The conversion formula is a key part of understanding temperature scales. Here's the simple formula used for converting between Celsius and Kelvin:
\[ T(K) = T(掳C) + 273.15 \]
This formula shows the direct relationship between Celsius and Kelvin scales. By adding 273.15 to a Celsius value, you can calculate its equivalent in Kelvin.

For example, suppose you need to convert 120掳C to Kelvin:

Using the formula, plug in the value:

\[ T(K) = 120 + 273.15 \] The outcome, 393.15 K, shows that 120掳C equals 393.15 Kelvin.

This formula is reliable for converting any Celsius value to Kelvin quickly and accurately, without needing complex calculations. Understanding and using this formula is invaluable for students and professionals working in temperature-related fields.

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91影视

Make the following conversions using the conversion charts: A temperature of 120掳C to kelvins

Short Answer

Step by step solution

Understanding the Celsius and Kelvin scales

Apply the conversion formula

Calculate the temperature in Kelvin

Present the final answer

Key Concepts

Celsius to Kelvin

Temperature Scales

Conversion Formula

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