1 . The super-evil mad scientist. Doctor Dysprosium, has. invented a device that
ID: 869936 • Letter: 1
Question
1 . The super-evil mad scientist. Doctor Dysprosium, has. invented a device that will drain all thermal energy from a substance cooling the object all the way to Absolute Zero! Were she to aim this technological tenor at Grand Lake (oh no!) how much energy would she be able to gain as she steals all the heat from the water (initially at 25 degree C). cooling and freezing and cooling it to absolute zero? 2. She then arms her device at Lake Oologah (also initially at 25 degree C) and uses all the energy she stole from Grand Lake to heat the water m Lake Oologah (those poor fishiest 1 To what state and temperature will she heat all that water' Some data you will and for this quiz.Explanation / Answer
(1.) We will use the following equation
q (heat she steals from water ) = (mass) (?t) (Cp)
Now as in this mass = volume = 5.008 x 10^11 gallons = 1895734229440000 g , T = 25oC , Cp for H2O = 4.18 J/(goC)
Substitute all in the above equation
q = ( 1895734229440000 g ) x 25oC x 4.18 J/(goC)
q = 198104226976480000 J
(2) Here we need to calculate ?t, q = 198104226976480000 J , Cp for H2O = 4.18 J/(goC)
mass = volume = 1.803 x 10^11 gallons = 682509747540000 g
q (heat she uses for Lake Oologah ) = (mass) (?t) (Cp)
198104226976480000 J = 682509747540000 g x ?t x 4.18 J/(goC)
?t = (198104226976480000 J) / ( 682509747540000 g x 4.18 J/(goC)
?t = 69.4398 oC = Tfinal - Tinitial
So Tfinal = 69.4398 + 25
Tfinal = 94.4398 oC, This temperature is near to the boiling point of water so the state to which she approximately heat the water will be near to the vapour (steam) state.
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