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What is the volume in L of a cube with an edge length of 7.0 dm?
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Ch.1 - Chemical Tools: Experimentation & Measurement
McMurry8th EditionChemistryISBN: 9781292336145
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TOC.tableOfContents
- Ch.1 - Chemical Tools: Experimentation & Measurement170
- Ch.2 - Atoms, Molecules & Ions160
- Ch.3 - Mass Relationships in Chemical Reactions169
- Ch.4 - Reactions in Aqueous Solution199
- Ch.5 - Periodicity & Electronic Structure of Atoms102
- Ch.6 - Ionic Compounds: Periodic Trends and Bonding Theory92
- Ch.7 - Covalent Bonding and Electron-Dot Structures61
- Ch.8 - Covalent Compounds: Bonding Theories and Molecular Structure59
- Ch.9 - Thermochemistry: Chemical Energy122
- Ch.10 - Gases: Their Properties & Behavior155
- Ch.11 - Liquids & Phase Changes54
- Ch.12 - Solids and Solid-State Materials73
- Ch.13 - Solutions & Their Properties120
- Ch.14 - Chemical Kinetics98
- Ch.15 - Chemical Equilibrium125
- Ch.16 - Aqueous Equilibria: Acids & Bases110
- Ch.17 - Applications of Aqueous Equilibria147
- Ch.18 - Thermodynamics: Entropy, Free Energy & Equilibrium86
- Ch.19 - Electrochemistry154
- Ch.20 - Nuclear Chemistry96
- Ch.21 - Transition Elements and Coordination Chemistry156
- Ch.22 - The Main Group Elements187
- Ch.23 - Organic and Biological Chemistry51
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McMurry 8th EditionCh.1 - Chemical Tools: Experimentation & MeasurementProblema 61
McMurry 8th EditionCh.1 - Chemical Tools: Experimentation & MeasurementProblema 61Capitolo 1, Problema 61
A 125 mL sample of water at 293.2 K was heated for 8 min, 25 s so as to give a constant temperature increase of 3.0 °F/min. What is the final temperature of the water in degrees Celsius?
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Convert the temperature increase from degrees Fahrenheit per minute to degrees Celsius per minute using the conversion formula: \( \Delta T(\degree C) = \frac{5}{9} \times \Delta T(\degree F) \).
Calculate the total temperature increase in degrees Fahrenheit by multiplying the rate of temperature increase (3.0 \( \degree F/min \)) by the total time in minutes (8 minutes and 25 seconds).
Convert the total temperature increase from degrees Fahrenheit to degrees Celsius using the conversion formula from step 1.
Add the temperature increase in degrees Celsius to the initial temperature of the water, which is 293.2 K. First, convert 293.2 K to degrees Celsius using the formula: \( T(\degree C) = T(K) - 273.15 \).
Calculate the final temperature in degrees Celsius by adding the converted initial temperature in degrees Celsius to the temperature increase in degrees Celsius.
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Temperature Conversion
Understanding how to convert temperatures between different scales is essential. In this case, the temperature increase is given in degrees Fahrenheit, which must be converted to degrees Celsius using the formula: °C = (°F - 32) × 5/9. This conversion is crucial for accurately determining the final temperature in Celsius.
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02:10
Temperature Conversion Example
Heat Transfer and Specific Heat
The concept of heat transfer involves the movement of thermal energy from one object to another. In this scenario, the water absorbs heat, leading to a temperature increase. The specific heat capacity of water, which is approximately 4.18 J/g°C, indicates how much energy is required to raise the temperature of a given mass of water by one degree Celsius, although it is not directly needed for this calculation.
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02:19Heat Capacity
Rate of Temperature Change
The rate of temperature change describes how quickly the temperature of a substance increases over time. In this question, the water's temperature increases at a constant rate of 3.0 °F/min. To find the total temperature increase over the heating period, this rate must be multiplied by the total time in minutes, allowing for the calculation of the final temperature.
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02:10Concentration Changes and Rate Law Example
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What is the volume in mL of a cube with an edge length of 2.5 cm?
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Suppose you were dissatisfied with both Celsius and Fahrenheit units and wanted to design your own temperature scale based on ethyl alcohol (ethanol). On the Celsius scale, ethanol has a melting point of -117.3 °C and a boiling point of 78.5 °C, but on your new scale calibrated in units of degrees ethanol, °E, you define ethanol to melt at 0 °E and boil at 200 °E. (d) What is normal human body temperature (98.6 °F) on the ethanol scale?
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Suppose you were dissatisfied with both Celsius and Fahrenheit units and wanted to design your own temperature scale based on ethyl alcohol (ethanol). On the Celsius scale, ethanol has a melting point of -117.3 °C and a boiling point of 78.5 °C, but on your new scale calibrated in units of degrees ethanol, °E, you define ethanol to melt at 0 °E and boil at 200 °E. (e) If the outside thermometer reads 130 °E, how would you dress to go out?
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