Question

How much energy is required to change a 23 g ice cube from ice at − 12 ◦ C to steam at 101 ◦ C? The specific heat of ice is 2090 J / kg · ◦ C and of water 4186 J / kg · ◦ C. The latent heat of fusion of water is 3 . 33 × 10^5 J / kg, its latent heat of vaporization is 2 . 26 × 10^6 J / kg, and the specific heat of steam is 2010 J / kg · ◦ C. Answer in units of MJ.

Answer #1

We can break this up into 5 stages.

Stage 1 = Heating the ice to 0 degrees.

Stage 2 = Melting the ice.

Stage 3 = Heating the water to 100 degrees.

Stage 4 = Turning the water into steam.

Stage 5 = Heating the steam to 101 degrees.

The energy required is as follows:

Stage 1 : For ice at 12 to ice at 0 = (0.023 kg)(2090 J/kgC)(12 C)
= 576.84 J

Stage 2 : For ice at 0 to water at 0 = (0.023 kg)(3.33 x 10^5 J/kg)
= 7659 J

Stage 3 : For water at 0 to water at 100 = (0.023 kg)(4186
JkgC)(100C) = 9627.8 J

Stage 4 : For water at 100 to steam at 100 = (0.023 kg)(2.26 x 10^6
J/kg) = 51980 J

Stage 5 : For steam at 100 to steam at 101 = (0.023 kg)(2010
J/kgC)(1C) = 46.23 J

Adding all these up gives a total energy of **69889.87 J =
0.0698 MJ**

How much energy is required to change a 34 g ice cube from ice
at −10◦C to steam at 119◦C? The specific heat of ice is 2090 J/kg ·
◦ C, the specific heat of water is 4186 J/kg · ◦ C, the specific
heat of stream is 2010 J/kg · ◦ C, the heat of fusion is 3.33 × 105
J/kg, and the heat of vaporization is 2.26 × 106 J/kg. Answer in
units of J

17. How much heat is required to change the temperature of 50 g
of ice cube initially at - 30 0C to steam at 160
0C? (Express your answer in J){ specific heat of ice is
2090 J/kg 0C, that of water is 4186 J/kg 0C,
that of steam is 2010 J/kg 0C; Lf = 3.33 X 10 J/kg, Lv =
2.26 X 10 J/kg.}

Calculate the amount of heat energy required to
change 0.173 kg of ice at a temperature of -35 �C
to steam at a
temperature of 160 �C. (specific heat capacities
of ice, water and steam are 2090, 4180, 2010 J ⁄ kg ⁄
�C
respectively. Latent heat of fusion and vaporization of water
are
3.34e5, 2.26e6 J ⁄ kg respectively.)

How much energy is required to change a 35 g
ice cube from ice at ?7
?C to steam at 108?C?
The specific heat of ice is 2090 J/kg

How much energy is required to change a 40 g ice cube from ice
at -10 oC to steam at 110 oC?
cwater=4186 J kg-1 oC-1
cice=2090 J kg-1 oC-1
cvapor=2010 J kg-1 oC-1
Lf=3.3x105 J kg-1
Lv=2.26x106 J kg-1

A) How much heat is required to change a 44.4 g ice cube from
ice at -13.2 degrees Celsius to water at 80 degrees Celsius? (If
necessary, use c of ice= 2090 J/kg degrees Celsius and c of steam=
2010 J/ kg degrees Celsius) B) How much heat is required to change
a 44.4 g ice cube from ice at -13.2 degrees Celsius to steam at 117
degrees Celsius?

1. How much heat is required to change a 32.3 g ice
cube from ice at -10.6°C to water at 47°C? (if necessary, use
cice=2090 J/kg°C and csteam= 2010 J/kg°C)
2. How much heat is required to change a 32.3 g ice
cube from ice at -10.6°C to steam at 111°C?

Part A:
How much heat is required to change a 37.9 g ice cube from ice
at -14.1°C to water at 30°C? (if necessary, use cice=2090 J/kg°C
and csteam= 2010 J/kg°C)
Part B:
How much heat is required to change a 37.9 g ice cube from ice
at -14.1°C to steam at 112°C?

How much heat is required to change a 48.4 g ice cube from ice
at -11.5°C to water at 72°C? (if necessary, use cice=2090 J/kg°C
and csteam= 2010 J/kg°C)
How much heat is required to change a 48.4 g ice cube from ice
at -11.5°C to steam at 116°C?

You decide to put a 40.0 g ice cube at -10.0°C into a well
insulated coffee cup (of negligible heat capacity)
containing of water at 5.0°C. When equilibrium is
reached, how much of the ice will have melted? The specific heat of
ice is 2090 J/kg ∙ K, that of water is 4186 J/kg ∙ K, and the
latent heat of fusion of water is 33.5 × 104 J/kg.

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