In the United States, water used for irrigation is measured in acre-feet. An acr

Question

In the United States, water used for irrigation is measured in acre-feet. An acre-foot of water covers an acre to a depth of exactly 1 ft. An acre is 4840 yd2. An acre-foot is enough water to supply two typical households for 1.00 yr. (a) If desalinated water costs $2350 per acre-foot, how much does desalinated water cost per liter? E cents per liter (b) How much would it cost one household per day if it were the only source of water? dollars per day Athief plans to steal a gold sphere with a radius of 27.5cm from a museum. If the gold has a density of 19.3 gam3, what is the mass of the sphere in pounds? (The volume of a sphere is V·(4/3)m3, where r is its radius and see the table of physical data.) lb Is the thief likely to be able to walk off with the gold sphere unassisted? O Yes No Automobile batteries contain sulfuric acid, which is commonly referred to as "battery acid. Calculate the number of grams of sulfuric acid in 1.35 gal of battery acid if the solution has a density of 1.28 g/mL and is 38.1% sulfunc sod by mass. (See the table of physical data.) 19

Explanation / Answer

  An acre should be understood to be 43,560 ft². But if you didn't know that 1yd² = 1yd x 1 yd = 3ft x 3ft = 9ft²

1yd² = 9ft²... If you multiply 4840yd² by 9ft²/yd² you end up with 43,560

That being said

1) there are 43,560 cubic feet of water in an acre-foot. Every cubic foot of water has 28.317 liters.
43,560 ft^3 x 28.317lt/ft^3 = 1,233,488.52 liters

That means that $2350 will pay for 1,233,488.52 liters of water...divide to get your answer

$2350/1,233,488.52 = $.0019/liter...water costs you a fraction of a penny per liter, that's really cheap considering how much you spend on bottled water :)


2) For the 2nd part, all you need to do is divide the cost of an acre foot by 2 (it will cover 2 homes per year) and then divide by 365days to get the cost of water per day

2350/2 = $1175/365days = $3.21/day

2)density=mass / volume =>mass= density x volume
density=mass / volume of the sphere
=> mass divided by (4/3))(pie)(radius cubed)
=> mass = density x (4/3))(pie)(radius cubed)
= 19.3 x 4/3 x 22/7 x 27.5 x 27.5 x27.5
= 1681972.02g=3708.11 lbs

No the thief would not be able to walk unassisted.

3)

First you need to find mass of the solution:

1.35 Gal=5110.30591 ml

mass of solution is 5110.30591 ml*1.28g/mL = 6541.19 g

And now you can find mass of sulfuric acid in this solution:

mass of H2SO4 in this solution is: 6541.19g*0.381 = 2492.19399g

Related Questions

Navigate

• Browse (All)
• Browse I
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.