Problem Page Ammonium perchlorate is the solid rocket fuel used by the U.S. Space Shuttle. It reacts with itself to produce nitr
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Answer: Volume of Freon = 12.23.L
Explanation: First, the temperatures have to be in the same unit, so all the tmeperatures is transformed into Kelvin:
T₁ = 192K
T₂ = . (F - 32)+273.15
T₂ = . (- 65 - 32)+273.15
T₂ = 219.26K.
Second, BTU is an unit of energy. It can be transformed into Joules by the relation 1BTU = 1055.06J.
Q = 1055.06 . 46.9 = 49482.314J
The letter Q represents Heat and is calculated as Q = m.Cp.ΔT, where:
m is mass of the element;
Cp is the heat capacity specific for each element;
ΔT is the difference between the final and initial temperature;
Third, it will be needed the properties of the Freon:
Freon (CF2Cl2) = 120.91g/mol; Cp = 74J/mol.K; ρ = 1.49kg/m³
Fourth, we calculate the mass of Freon necessary for the remove of 46.9BTU of energy from the system:
Q = m.Cp.ΔT
m=
m =
m = 18228.214g or m=18.228Kg
Fifth, using the density of Freon, Volume can be found
ρ =
V = m / ρ
V = 18.228 / 1.49
V = 12.23m³
As SI for density is Kg/m³, the volume found is in m³.
Cubic meters is related to Liters as the following: 1m³=1000l.
So, volume of Freon = 12.23.L
The volume of Freon needed is 12.23.L.
The mirror formula for curved mirrors is:
where
f is the focal length of the mirror
is the distance of the object from the mirror
is the distance of the image from the mirror
The sign convention that should be used in order to find the correct values is the following:
-
: positive if the mirror is concave, negative if the mirror is convex
-: positive if the image is real (located on the same side of the object), negative if it is virtual (located on the opposite side of the mirror)
where
f is the focal length of the mirror
The sign convention that should be used in order to find the correct values is the following:
-
-