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leva [86]
3 years ago
11

A Carnot air conditioner takes energy from the thermal energy of a room at 61°F and transfers it as heat to the outdoors, which

is at 98°F. For each joule of electric energy required to operate the air conditioner, how many joules are removed from the room?
Physics
1 answer:
anyanavicka [17]3 years ago
8 0

Answer:

<em>14.07 units of joules is removed for each joules of electricity used</em>

Explanation:

The heated room temperature T_{c} = 61 °F

The outside temperature T_{h} = 98 °F

For conversion from fahrenheit to kelvin we use the equation

(32°F − 32) × 5/9 + 273.15

T_{c} = 289.26

T_{h} = 309.82

For air conditioning,

COP = \frac{T_{c} }{T_{h} -T_{c} }

COP = \frac{289.26 }{309.82 -289.26 }  = 14.07

This means that <em>14.07 units of joules is removed for each joules of electricity used</em>

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3 years ago
The concentration of Biochemical Oxygen Demand (BOD) in a river just downstream of a wastewater treatment plant’s effluent pipe
shtirl [24]

Answer:

The BOD concentration 50 km downstream when the velocity of the river is 15 km/day is 63.5 mg/L

Explanation:

Let the initial concentration of the BOD = C₀

Concentration of BOD at any time or point = C

dC/dt = - KC

∫ dC/C = -k ∫ dt

Integrating the left hand side from C₀ to C and the right hand side from 0 to t

In (C/C₀) = -kt + b (b = constant of integration)

At t = 0, C = C₀

In 1 = 0 + b

b = 0

In (C/C₀) = - kt

(C/C₀) = e⁻ᵏᵗ

C = C₀ e⁻ᵏᵗ

C₀ = 75 mg/L

k = 0.05 /day

C = 75 e⁻⁰•⁰⁵ᵗ

So, we need the BOD concentration 50 km downstream when the velocity of the river is 15 km/day

We calculate how many days it takes the river to reach 50 km downstream

Velocity = (displacement/time)

15 = 50/t

t = 50/15 = 3.3333 days

So, we need the C that corresponds to t = 3.3333 days

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C = 75 e⁻⁰•¹⁶⁷

C = 63.5 mg/L

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3 years ago
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