Learning Goal: To understand the concepts of heat capacity, specific heat, and molar heat capacity. Heat capacity, C, is the amount of energy required to raise the temperature of a substance by exactly one degree Celsius. The energy needed to warm an object increases as the mass of that object increases. We see this in our everyday life. For example, we know that it takes much more energy to heat a large tank of water than a small cup. Because of this dependence on mass, experimentally determined heat capacities are always reported in terms of the amount of the substance that is heated. One method is to report how much energy it takes to raise the temperature of one mole of a substance by exactly one degree Celsius. This value is the molar heat capacity, which has the symbol Cp. The molar heat capacity is given in the units J mol¬ °C-1.A second method is to report how much energy it takes to raise the temperature of one gram of a substance by exactly one degree Celsius. This value is the specific heat, which has been given the symbol C3. The units for specific heat are J g1°C-l. ,-1o, The heat capacity of a substance is therefore related to the energy q needed to raise its temperature by an amount AT. That is, nC AT where n denotes the number of

Chemistry
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Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
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Learning Goal:
To understand the concepts of heat capacity,
specific heat, and molar heat capacity.
Heat capacity, C, is the amount of energy required
to raise the temperature of a substance by exactly
one degree Celsius. The energy needed to warm
an object increases as the mass of that object
increases. We see this in our everyday life. For
example, we know that it takes much more energy
to heat a large tank of water than a small cup.
Because of this dependence on mass,
experimentally determined heat capacities are
always reported in terms of the amount of the
substance that is heated. One method is to report
how much energy it takes to raise the temperature
of one mole of a substance by exactly one degree
Celsius. This value is the molar heat capacity,
which has the symbol Cp. The molar heat capacity
is given in the units J mol- °C-1.A second
method is to report how much energy it takes to
raise the temperature of one gram of a substance
by exactly one degree Celsius. This value is the
specific heat, which has been given the symbol Cs.
The units for specific heat are J g-l°C-1.
The heat capacity of a substance is therefore
related to the energy q needed to raise its
temperature by an amount AT. That is,
nC,AT, where n denotes the number of
MC3AT, where
moles of the substance, or q =
m denotes the number of grams of the substance.
Transcribed Image Text:Learning Goal: To understand the concepts of heat capacity, specific heat, and molar heat capacity. Heat capacity, C, is the amount of energy required to raise the temperature of a substance by exactly one degree Celsius. The energy needed to warm an object increases as the mass of that object increases. We see this in our everyday life. For example, we know that it takes much more energy to heat a large tank of water than a small cup. Because of this dependence on mass, experimentally determined heat capacities are always reported in terms of the amount of the substance that is heated. One method is to report how much energy it takes to raise the temperature of one mole of a substance by exactly one degree Celsius. This value is the molar heat capacity, which has the symbol Cp. The molar heat capacity is given in the units J mol- °C-1.A second method is to report how much energy it takes to raise the temperature of one gram of a substance by exactly one degree Celsius. This value is the specific heat, which has been given the symbol Cs. The units for specific heat are J g-l°C-1. The heat capacity of a substance is therefore related to the energy q needed to raise its temperature by an amount AT. That is, nC,AT, where n denotes the number of MC3AT, where moles of the substance, or q = m denotes the number of grams of the substance.
Part A
It takes 46.0 J to raise the temperature of an 11.4 g piece of unknown metal from 13.0° C to 24.2 °C. What is the specific
heat for the metal?
Express your answer with the appropriate units.
• View Available Hint(s)
HA
Cs =
Value
Units
Submit
Parts B and C
The next two questions pertain to silver. They have nothing to do with unknown metal described in Part A.
Transcribed Image Text:Part A It takes 46.0 J to raise the temperature of an 11.4 g piece of unknown metal from 13.0° C to 24.2 °C. What is the specific heat for the metal? Express your answer with the appropriate units. • View Available Hint(s) HA Cs = Value Units Submit Parts B and C The next two questions pertain to silver. They have nothing to do with unknown metal described in Part A.
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