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Direct Energy, 2018a

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8 THERMOELECTRICS 179<br />

kPa, and the mass of the neon in the container is 3000 g. Find the volume<br />

of the container. The temperature is 298.15 K. From a periodic table, the<br />

atomic weight of a neon atom is 20.18<br />

g . Thus, the container holds 148.7<br />

mol<br />

mol of neon atoms. Next, we use the ideal gas law to nd the volume.<br />

V = NRT<br />

P = 148.7 mol · 8.314 J<br />

mol·K · 298.15 K<br />

10 4 Pa<br />

=36.86 m 3 (8.20)<br />

8.5 First Law of Thermodynamics<br />

The idea of energy conservation was introduced in Sec. 1.3. Most discussions<br />

of thermodynamics also begin with the same idea. The rst law<br />

of thermodynamics is a statement of energy conservation. <strong>Energy</strong> can be<br />

stored in the material polarization of a capacitor, the chemical potential<br />

of a battery, and in many other forms. People studying thermodynamics<br />

and heat transfer, however, often make some drastic assumptions. They<br />

classify all energy conversion processes as heat transfer or other where the<br />

primary component of the latter is mechanical work. At the beginning<br />

of introductory thermodynamics courses, all forms of energy besides heat<br />

transfer and mechanical work are ignored. Charging a capacitor, discharging<br />

a battery, and all other energy conversion processes are grouped in with<br />

mechanical work when writing the rst law of thermodynamics. The rst<br />

law of thermodynamics is typically written as<br />

(change in int. energy) =(heat in) − (work and other forms) . (8.21)<br />

ΔU = Q − W (8.22)<br />

Each term of the Eq. 8.22 has the units of joules. The symbol Q represents<br />

the energy supplied in to the system by heating, and −W , with the minus<br />

symbol, represents the mechanical work in to the system as well as all<br />

other forms of energy into the system. The quantity ΔU represents the<br />

change in internal energy of the system. In a closed system the total energy<br />

is conserved. In a closed system, energy is either stored in the system<br />

(for example as potential energy or another form of internal energy), is<br />

transfered in or out as heat, or is transfered in or out as another form such<br />

as mechanical work [109, p. 51].

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