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Marta_Voda [28]
3 years ago
11

The heat loss through a window (R-2) is 10 MMBTU/year. Calculate the payback period (in years) ifArgon is filled in the window t

o increase the effective R-value of the window to 7. Assume heating price to be $10/MMBTU and the cost for filling Argon is $20.Heat lost through new window per year = (10 x 2) / 7 = 2.84 MMBTUs/yrReduction in heat lost per year = 10 - 2.84 = 7.16 MMBTUs/yrSavings in energy cost per year = 7.16 x 10 = $71.6Payback period = 20 / 71.6 = 0.28 yrs
Physics
1 answer:
tino4ka555 [31]3 years ago
8 0

Answer:

0.28 year

Explanation:

Heat lost through new window per year = heat loss through a window / R- value = (10 MMBTU/year × 2) / 7 = 2.86 MMBTUs/yr

Reduction in heat lost per year = heat loss through a window - Heat lost through new window per year = 10 MMBTUs/yr - 2.86 MMBTUs/yr  = 7.14 MMBTUs/yr

Savings in energy cost per year = Reduction in heat lost per year × heating price = 7.14 MMBTUs/yr × $10/MMBTU = $71.4 / yr

Payback period =  cost for filling Argon / Savings in energy cost per year = $20 / $71.4 /yr =  0.28 yrs

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Kryger [21]

Answer:

76 mi/h

Explanation:

\frac{da}{dt} = Velocity of car A = 50 mi/h

a = Distance car A travels = 40 mi

\frac{db}{dt} = Velocity of car B = 60 mi/h

b = Distance car B = 30 mi

c = Distance between A and B after 3 hours = √(a²+b²) = √(40²+90²) = 50 mi

From Pythagoras theorem

a²+b² = c²

Now, differentiating with respect to time

2a\frac{da}{dt}+2b\frac{db}{dt}=2c\frac{dc}{dt}\\\Rightarrow a\frac{da}{dt}+b\frac{db}{dt}=c\frac{dc}{dt}\\\Rightarrow \frac{dc}{dt}=\frac{a\frac{da}{dt}+b\frac{db}{dt}}{c}\\\Rightarrow \frac{dc}{dt}=\frac{40\times 50+30\times 60}{50}\\\Rightarrow \frac{dc}{dt}=76\ mi/h

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8 0
4 years ago
Acircuit consist of three resistor in series one of 3 ohm, one of 7 ohm , one of 10 ohm battery of emf 12volt and neglible inter
finlep [7]

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0.6 A

Explanation:

Applying,

I = E/(R'+r).................... Equation 1

Where I = curent or circuit supply, R'= equivalent external resistance, r = internal resistance.

From the question,

Given: E = 12 Volt,

IF the three resistors are connected in series, R' = (3+7+10) ohm = 20 ohm,

r = neglible.

Substitute these values into equation 1

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I = 0.6 A

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Explanation:

a. Use Ideal Gas Equation

PV=nRT

Where P = pressure in pascals, V=Volume in cubic meters, n=number of moles, R is a constant=8.314 J/mol.K and T is temperature in Kelvin.

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Solving for n from the above you get n=0.16240664737515434 moles

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USING THE FORMULA

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IF you simplify for T2, you get 67.5

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