Problem 17
Question
Many laboratories use \(25^{\circ} \mathrm{C}\) as a standard temperature. What is this temperature in kelvins?
Step-by-Step Solution
Verified Answer
The temperature is 298.15 K.
1Step 1: Understand the Celsius to Kelvin Conversion Formula
To convert from Celsius to Kelvin, we use the formula: \[K = C + 273.15\] where \( K \) is the temperature in kelvins and \( C \) is the temperature in degrees Celsius.
2Step 2: Substitute the Given Celsius Value
Given temperature in degrees Celsius is \( 25^{\circ} \mathrm{C} \). Substitute this value into the conversion formula:\[K = 25 + 273.15\]
3Step 3: Perform the Calculation
Add the numbers together:\[K = 298.15\]
4Step 4: Interpret the Result
The calculated value represents the temperature in kelvins.
Key Concepts
Celsius to KelvinStandard TemperatureChemical Laboratory
Celsius to Kelvin
Temperature conversion from Celsius to Kelvin is a fundamental concept in science. The conversion is achieved using a simple formula. The formula is \[ K = C + 273.15 \] where \( K \) represents the temperature in kelvins and \( C \) is the temperature in degrees Celsius. The constant 273.15 accounts for the difference in the starting point of these two scales.
Celsius and Kelvin scales are both metric, but they start at different points. Celsius sets its zero at the freezing point of water, while Kelvin starts at absolute zero, the point at which molecular movement stops. Consequently, a change of one degree Celsius is equivalent to a change of one Kelvin. This makes conversion straightforward, involving only this simple addition.
In practical terms, this conversion is crucial because Kelvin is the standard in scientific calculations. Understanding this relationship is key to conducting accurate and standardized experiments.
Celsius and Kelvin scales are both metric, but they start at different points. Celsius sets its zero at the freezing point of water, while Kelvin starts at absolute zero, the point at which molecular movement stops. Consequently, a change of one degree Celsius is equivalent to a change of one Kelvin. This makes conversion straightforward, involving only this simple addition.
In practical terms, this conversion is crucial because Kelvin is the standard in scientific calculations. Understanding this relationship is key to conducting accurate and standardized experiments.
Standard Temperature
Standard temperature in scientific terms often refers to 25 degrees Celsius, or approximately 298.15 Kelvin. It is also referred to as "room temperature," a common baseline in laboratory settings for experiments.
Using standard temperature allows for consistency. It ensures that experiments conducted at different times and places produce comparable results. It is also essential for substances where reactions or behavior is highly temperature-dependent.
Being familiar with standard temperature is vital for chemical reactions. It simplifies the preparation and understanding of experimental conditions. When documenting experiments, noting deviations from this standard is critical for interpretation.
Using standard temperature allows for consistency. It ensures that experiments conducted at different times and places produce comparable results. It is also essential for substances where reactions or behavior is highly temperature-dependent.
Being familiar with standard temperature is vital for chemical reactions. It simplifies the preparation and understanding of experimental conditions. When documenting experiments, noting deviations from this standard is critical for interpretation.
Chemical Laboratory
In a chemical laboratory, precise temperature control is imperative for successful experiments. The standardization to 25 degrees Celsius simplifies logistical and experimental challenges.
Chemical reactions are often temperature-sensitive. Variations can lead to differences in reaction rates, yield, and even the viability of a specific process. Laboratories must therefore maintain a consistent temperature to ensure reliability.
Modern labs utilize a range of equipment:
Chemical reactions are often temperature-sensitive. Variations can lead to differences in reaction rates, yield, and even the viability of a specific process. Laboratories must therefore maintain a consistent temperature to ensure reliability.
Modern labs utilize a range of equipment:
- Thermometers to monitor temperature changes.
- Thermostatically controlled environments to maintain desired conditions.
- Data loggers for accurate temperature readings over time.
Other exercises in this chapter
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Make the following temperature conversions: $$\begin{array}{ll} \hline \mathrm{C} & \mathrm{K} \\ \hline \text { a) } 16 & \\ \text { (b) } & 370 \\ \text { (c)
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