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Thermodynamics
Modern Engineering Thermodynamics
231 SOLVED PROBLEMS
Question: 8.2
The solar power plant shown in Figure 8.2 utilizes the thermal energy of the sun to drive a heat engine. Solar collectors with a constant surface temperature of 200.°F absorb 100. × 10³ Btu/h of solar energy and deliver it to the heat engine. The heat engine rejects heat to a condenser in a river ...
Verified Answer:
First, draw a sketch of the system. Here, the unkn...
Question: 18.3
Test assumption 7 at the beginning of this section by computing the fraction of neon molecules at 273 K whose velocities are faster than (a) Vmp, (b) Vavg, (c) Vrms, and (d) c (the speed of light). Use the molecular data for neon given in Example 18.2 ...
Verified Answer:
a. The fraction having velocities greater than [la...
Question: 17.10
The death rate constant for mice at 27.0°C is 0.0350 months^–1 . Determine the coefficient α in Eq. (17.33) for mice ...
Verified Answer:
At
T = 27.0°\text{C} = 300. \text{K}[/latex...
Question: 17.1
Using the concentration data provided in Table 17.2, determine the membrane potential in human cells of sodium, potassium, and chlorine ions at 37.0°C. ...
Verified Answer:
Table 17.2 gives the concentration of sodium ions ...
Question: 11.4
Suppose we make a series of measurements in the laboratory and think we discovered a new thermodynamic property, call it z. Our experimental data provide an empirical equation of the form: dz = p dv + v² dp. Is z a new property? ...
Verified Answer:
The unknown is whether or not
z
is ...
Question: 19.6
If the vessels in Example 19.5 were maintained isobaric at a mean temperature of 30.0°C and the measured thermomechanical heat transfer rate was 8.70 J/s, then find the induced isobaric mass flow rate and the resulting temperature difference between the vessels. ...
Verified Answer:
From Eq. (19.59), we have
\dot{m}_i = \frac...
Question: 19.5
Both of the large vessels shown in Figure 19.10 are filled with saturated liquid water at 30.0°C. They are maintained isothermal but have a pressure difference of 10.0 kPa. The interconnecting tube has an inside diameter of 0.0100 m and is 0.100 m in length. It is filled with a porous material ...
Verified Answer:
a. For an isothermal system,
dT = 0
...
Question: 19.4
A membrane with a permeability of 1.00 × 10^−6 m^2 separates two chambers filled with carbon dioxide gas. The gas has a temperature of 300. K on one side of the membrane and 305 K on the other side. The osmotic heat conductivity (ko) of the membrane with CO2 is 2.00 × 10^4 m^2 /s and the viscosity ...
Verified Answer:
Since this is a steady state problem, we can use t...
Question: 19.3
The chromel-alumel thermocouple circuit shown below has its cold junction at 0°C and its hot junction at 100.°C. Assuming that the absolute Seebeck coefficients αch = 23.0 × 10^−6 V/K and αal = −18.0 × 10^−6 V/K are constant over this temperature range, determine a. The open circuit thermoelectric ...
Verified Answer:
a. The relative Seebeck coefficient for the chrome...
Question: 19.2
The open circuit voltage of an iron-copper thermocouple is approximately given by ϕfe-cu = (−13.4 T + 0.014 T^2 + 0.00013 T^3) × 10^−6 V where T is in °C, not K. At 100.°C, determine a. The relative Seebeck coefficient αfe-cu. b. The relative Peltier coefficient πfe-cu. ...
Verified Answer:
a. From Eq. (19.15), we have that
σ_\text{A...
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