Domanda del libro di testo
(a) What amount of heat (in joules) is required to raise the temperature of 1 g of water by 1 kelvin? (b) What amount of heat (in joules) is required to raise the temperature of 1 mole of water by 1 kelvin?
Ch.5 - Thermochemistry
Brown14th EditionChemistry: The Central ScienceISBN: 9780134414232
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TOC.tableOfContents
- Ch.1 - Introduction: Matter, Energy, and Measurement177
- Ch.2 - Atoms, Molecules, and Ions231
- Ch.3 - Chemical Reactions and Reaction Stoichiometry216
- Ch.4 - Reactions in Aqueous Solution189
- Ch.5 - Thermochemistry175
- Ch.6 - Electronic Structure of Atoms168
- Ch.7 - Periodic Properties of the Elements150
- Ch.8 - Basic Concepts of Chemical Bonding177
- Ch.9 - Molecular Geometry and Bonding Theories200
- Ch.10 - Gases179
- Ch.11 - Liquids and Intermolecular Forces113
- Ch.12 - Solids and Modern Materials154
- Ch.13 - Properties of Solutions157
- Ch.14 - Chemical Kinetics199
- Ch.15 - Chemical Equilibrium128
- Ch.16 - Acid-Base Equilibria164
- Ch.17 - Additional Aspects of Aqueous Equilibria163
- Ch.18 - Chemistry of the Environment105
- Ch.19 - Chemical Thermodynamics164
- Ch.20 - Electrochemistry171
- Ch.21 - Nuclear Chemistry122
- Ch.22 - Chemistry of the Nonmetals82
- Ch.23 - Transition Metals and Coordination Chemistry79
- Ch.24 - The Chemistry of Life: Organic and Biological Chemistry16
Brown14th EditionChemistry: The Central ScienceISBN: 9780134414232Non è quello che usi tu?Cambia libro di testo
Capitolo 5, Problema 49b
(b) The specific heat of aluminum is 0.9 J/(g - K). Calculate its molar heat capacity.
Guida verificata passo dopo passo1
Determine the molar mass of aluminum, which is approximately 26.98 g/mol.
Understand that the specific heat capacity (c) is given in J/(g\(\cdot\) K), which means it is the energy required to raise the temperature of 1 gram of the substance by 1 Kelvin.
Recognize that molar heat capacity (C) is the energy required to raise the temperature of one mole of a substance by 1 Kelvin.
Use the formula for molar heat capacity: C = c \(\times\) molar mass. Here, c is the specific heat capacity and the molar mass is the mass of one mole of the substance.
Substitute the values into the formula: C = 0.9 \, \(\text{J/(g\cdot K)}\) \(\times\) 26.98 \, \(\text{g/mol}\).
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Specific Heat Capacity
Specific heat capacity is the amount of heat required to raise the temperature of one gram of a substance by one degree Celsius (or one Kelvin). It is a material-specific property that indicates how much energy a substance can store per unit mass. In this case, aluminum has a specific heat of 0.9 J/(g·K), meaning it requires 0.9 joules of energy to increase the temperature of one gram of aluminum by one Kelvin.
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Heat Capacity
Molar Heat Capacity
Molar heat capacity is the amount of heat required to raise the temperature of one mole of a substance by one degree Celsius (or one Kelvin). It is calculated by multiplying the specific heat capacity by the molar mass of the substance. For aluminum, to find its molar heat capacity, we need to use its specific heat and the molar mass, which is approximately 27 g/mol.
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Conversion from Specific Heat to Molar Heat Capacity
To convert specific heat capacity to molar heat capacity, the formula used is: Molar Heat Capacity = Specific Heat Capacity × Molar Mass. This relationship allows us to express the heat capacity in terms of moles rather than grams, which is particularly useful in chemical reactions and thermodynamic calculations. For aluminum, this conversion will yield the molar heat capacity in J/(mol·K).
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Domanda del libro di testo
Two solid objects, A and B, are placed in boiling water and allowed to come to the temperature of the water. Each is then lifted out and placed in separate beakers containing 1000 g of water at 10.0 °C. Object A increases the water temperature by 3.50 °C; B increases the water temperature by 2.60 °C. (a) Which object has the larger heat capacity?
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