Explanation:
At a temperature of and relative humidity of 86%, the humidity ratio stands at 0.0223 with a specific volume of 14.289.
At a temperature of and relative humidity of 40%, the humidity ratio is 0.0066 while the specific volume is 13.535.
To determine the mass of air, the following formula can be used:
Now, we will calculate the volume
The duration required to fill the cistern can be determined with the equation:
By substituting the values into the preceding formula, we find:
Thus, the hours necessary to fill the cistern amount to 4.65 hours.
Answer:
a) , b)
Explanation:
a) The uniform dresser can be modeled using specific equilibrium equations:
Following some algebraic manipulations, the formulated equation is derived:
b) Similarly, the man can be represented by a set of equilibrium equations:
After some algebraic changes, the expression for the coefficient of static friction comes out as:
Answer:
The duration is 17.43 minutes.
Explanation:
Based on the provided information, the initial diameter is 5 m
the velocity is 3 m/s
and the final diameter is 17 m.
To find the solution, we will use the volume change equation expressed as
ΔV = .............1
where ΔV represents the change in volume, rf is the final radius, and ri is the initial radius.
Calculating ΔV yields
ΔV =
ΔV = 2507 m³.
Thus,
Q = velocity × Area
Q = 3 × π ×(0.5)² = 2.356 m³/s.
Next, the change in time can be expressed as
Δt =
Δt =
Δt = 1046 seconds.
Therefore, the total change in time amounts to 17.43 minutes.
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