Ch.1 - Introduction: Matter, Energy, and Measurement

Brown - Chemistry: The Central Science 15th Edition

Brown15th EditionChemistry: The Central ScienceISBN: 9780137542970Not the one you use?Change textbook

Brown 15th Edition

Ch.1 - Introduction: Matter, Energy, and Measurement

Problem 36a

Chapter 1, Problem 36a

The temperature on a warm summer day is 87 °F. What is the temperature in °C?

Verified step by step guidance

insert step 1> Convert the given temperature from Fahrenheit to Celsius using the formula: \( T_{\text{C}} = \frac{5}{9} (T_{\text{F}} - 32) \).

insert step 2> Substitute the given Fahrenheit temperature (87 °F) into the formula: \( T_{\text{C}} = \frac{5}{9} (87 - 32) \).

insert step 3> Calculate the difference: \( 87 - 32 \).

insert step 4> Multiply the result by \( \frac{5}{9} \) to convert to Celsius.

insert step 5> The result is the temperature in degrees Celsius.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Temperature Scales

Temperature can be measured using different scales, the most common being Celsius (°C) and Fahrenheit (°F). Each scale has its own zero point and degree increments, which means that a direct comparison between the two requires conversion formulas.

Conversion Formula

To convert Fahrenheit to Celsius, the formula used is °C = (°F - 32) × 5/9. This formula accounts for the difference in the zero points and scaling between the two temperature systems, allowing for accurate conversion.

Practical Applications of Temperature Conversion

Understanding temperature conversion is essential in various fields, including science, cooking, and weather reporting. It enables effective communication of temperature-related information across different regions that may use different measurement systems.

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Temperature Conversion Example

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Textbook Question

(b) Carbon dioxide (CO₂) is a gas at room temperature and pressure. However, carbon dioxide can be put under pressure to become a 'supercritical fluid' that is a much safer dry-cleaning agent than tetrachloroethylene. At a certain pressure, the density of supercritical CO₂ is 0.469 g/cm³. What is the mass of a 25.0-mL sample of supercritical CO₂ at this pressure?

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Textbook Question

Make the following conversions: f. 0 K to °F

Textbook Question

Make the following conversions: e. 2500 °F to K

Textbook Question

Many scientific data are reported at 25 °C. What is this temperature in kelvins and in degrees Fahrenheit?

Textbook Question

Make the following conversions: d. 315 K to °F

Textbook Question

(a) A sample of tetrachloroethylene, a liquid used in dry cleaning that is being phased out because of its potential to cause cancer, has a mass of 40.55 g and a volume of 25.0 mL at 25 °C. What is its density at this temperature? Will tetrachloroethylene float on water? (Materials that are less dense than water will float.)

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