Answer:
Explanation:
The equilibrium vacancy concentration can be described by:
nv/N = exp(-ΔHv/KT),
where T is the temperature at which vacancies form,
K = Boltzmann's constant,
and ΔHv = enthalpy of vacancy formation.
Rearranging this equation to express temperature allows you to calculate it using the provided values. A detailed breakdown of the process is included in the attached file.
Answer:
Refer to the attached document
1512 ft
Explanation:
Because the acceleration is constant or zero, the acceleration-time graph consists of horizontal segments. The values for t2 and a4 are derived as follows:
Acceleration - Time
0 < t < 6: Velocity change = area beneath the a–t graph
V_6 - 0 = (6 s)(4 ft/s²) = 24 ft/s
6 < t < t2: The velocity rises from 24 to 48 ft/s,
Velocity change = area beneath the a–t graph
48 - 24 = (t2 - 6) * 6
t2 = 10 s
t2 < t < 34: The velocity remains constant, meaning acceleration is zero.
34 < t < 40: Velocity change = area beneath the a–t graph
0 - 42 = 6*a4
a4 = - 8 ft / s²
A negative acceleration shows the area lies below the t-axis, indicating a decrease in speed.
Velocity - Time
Since acceleration remains constant or zero, the v−t graph is made up of linear segments connecting the calculated points.
Position change = area beneath the v−t graph
0 < t < 6: x6 - 0 = 0.5*6*24 = 72 ft
6 < t < 10: x10 - x6 = 0.5*4*(24 + 48) = 144 ft
10 < t < 34: x34 - x10 = 48*24 = 1152 ft
34 < t < 40: x40 - x34 = 0.5*6*48 = 144 ft
Summing these position changes yields the distance from A to B:
d = x40 - 0 = 1512 ft
Response:
a) 4 kg/s
b) 99.61 °C
Rationale:
Refer to the pictures provided.
Answer:
total expense for the new boiler = $229706.825
total expense for new boiler = $127512
Explanation:
provided information
initial power p1 = 80 kW
price C = $160000
cost index CI 1 = 187
cost index CI 2= 194
capacity factor f = 0.6
subsequent power p2 = 120 kW
present cost = $18000
to determine
total expense and cost for 40 kW
solution
we evaluate CN cost for the new boiler and CO cost for the existing boiler
where x represents the capacity of the new boiler
first we compute the current cost of the old boiler which is
current cost CO = C × .............1
substituting the value here
current cost = 160000 ×
updated current cost = $165989.304
and
employing power sizing strategy for 124 kW
CN/CO = ...............2
insert value and calculate CN
CN/CO =
CN / 165989.304 =
CN = 211706.825
therefore the new expense = $211706.825
hence
total expense for the new boiler amounts to
total expense = new expense + current cost
total exp = 211706.825 + 18000
boiler expense total = $229706.825
and
concerning a 40 kW unit, the calculated new cost will be
applying equation 2
CN/CO =
CN / 165989.304 =
CN = 109512
thus the new cost is $109512
therefore
total expense for the new boiler is
total exp = new cost + current cost
total expense = 109512 + 18000
total cost for the new boiler = $127512