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Liquid helium is stored at its boiling point, 4.2 K, in a spherical capsule tha…

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Wize University Physics Textbook (Master) > Heat and Temperature

Heat Transfer: Radiation

3 Activities

Wize University Physics Textbook (Master) > Heat and Temperature

Calorimetry

4 Activities

Liquid helium is stored at its boiling point, 4.2 K4.2\ K, in a spherical capsule that is separated by a vacuum space from a surrounding container that is maintained at the temperature of liquid nitrogen, 77 K77\ K. The capsule has a radius of 0.1 m0.1\ m and it is blackened on the outside.
a) Calculate the amount of helium that boils away in one day.
b) Now imagine the vacuum is replaced by a 20 cm20\ cm glass layer around the spherical capsule. How much helium boils away per day in this new condition?
(kglass=1.05wm⋅K)(k_{glass}=1.05 \frac{w}{m\cdot K})

Question A
More Heat Transfer: Radiation Questions:
If the solar constant from the sun is 1367 Wm21367\ \frac{W}{m^2} and the area of the solar panel is 2 m22\ m^2. Find the temperature of the solar panel. e=1.
What is the temperature of a planet which has a radius of 7296 km7296\ km and its distance to the Sun is 2.5 times the Earth to Sun distance. The solar constant of Earth is 1.367kwm21.367 \frac{kw}{m^2} and the Albedo factor of the unknown planet is 0.15.
Suppose gases around this planet, reflect 80% of the already reflected lights from the surface of the planet back to it. How much can these gases change the temperature on the surface of this planet?
A solar array powering a satellite is shown below. The array is connected to satellite by a thin aluminium rod. The array is facing the sun, and has a temperature of 1100 [K]1100\ \left[K\right], the satellite body has a temperature of15 K15\ K. Find the net heat transfer from the array to the satellite body.
The rod has a cross sectional area of 0.5 [m2]0.5\ \left[m^2\right].The square array and the satellite are facing one another and have 3 ×3 [m]3\ \times3\ \left[m\right]faces, they are 10 m10\ m apart.
kal=205 [WmK]k_{al}=205\ \left[\frac{W}{mK}\right]
A spherical object with a temperature of 45°C45\degree C. The object has a value of e=1 and a radius of 10 cm. What is the power outputted by the sphere.
New Practice Question
Liquid helium is stored at its boiling point, 4.2 K, in a spherical capsule that is separated by a vacuum space from a surrounding container that is maintained at the temperature of liquid nitrogen, 77K. The capsule has a radius of 0.1 m and it is blackened on the outside. Calculate the amount of helium that boils away in one day. Now imagine the vacuum is replaced by a 20cm glass layer around the spherical capsule. How much helium boils away per day in this new condition?
LHe=20.9×103 JKgL_{He}=20.9\times10^3\ \frac{J}{Kg}
(kglass=1.05 wm⋅K)\left(k_{glass}=1.05\ \frac{w}{m\cdot K}\right)
More Calorimetry Questions:
Calorimetry
Answer the following questions:
Practice: Calorimetry Part 1
Practice: Calorimetry
Answer the following questions.
A solution of ice water that weighs 1 kg1\ kg is mixed with 1 kg1\ kg of water at 100°C100\degree C. After mixing the temperature of the final solution is at 24°C24\degree C. How much of the ice water solution was ice.
Latent heat of ice: 334 Jg334\ \frac{J}{g}
C value for water: 4.186 Jg4.186\ \frac{J}{g}
A copper sphere with a radius of 5 cm5\ cm at T=80°CT=80\degree C is placed into a 2 kg2\ kg steel vessel which is full of water and ice.
What is the final temperature of the system if the final radius of the copper sphere is 4.996 cm4.996\ cm?
If 1/3 of the initial ice-water mixture in the steel vessel is water, how much ice is melted in this process?(gr)
A compound bar made up of 15 cm15\ cm of Cu with Acu=25 cm2A_{cu}=25\ cm^2 and 20 cm20\ cm of steel with ASt=10 cm2A_{St}=10\ cm^2 and T=293 KT=293\ K is fixed at both ends as shown in the diagram below. How much is the stress in each metal if the system is heated uniformly by a 700 watt700\ watt heater for 5 minutes?
CCu=390 Jkg⋅KCSt=470 Jkg⋅KYCu=11×1010 Nm2YSt=20×1010 Nm2αCu=1.7×10−51KαSt=1.2×10−51KρCu=9 kg/cm3ρSt=7.85 kg/cm3\begin{aligned} C_{Cu}=390\ \frac{J}{kg\cdot K} && C_{St}=470\ \frac{J}{kg\cdot K}\\ Y_{Cu}=11\times10^{10}\ \frac{N}{m^2} && Y_{St}=20\times10^{10}\ \frac{N}{m^2}\\ \alpha_{Cu}=1.7\times10^{-5} \frac{1}{K} && \alpha_{St}=1.2 \times10^{-5} \frac{1}{K}\\ \rho_{Cu}=9\ kg/cm^3 && \rho_{St}=7.85\ kg/cm^3 \end{aligned}
Two liters of juice at 20ºC is put in the fridge to cool. How much energy must be removed from the juice to cool it to 8ºC?
When 500g of copper (c=4190 J/kg kc=4190\ J/kg\ k), at 80ºC is added to 500g of water at 10ºC, what is the resulting temperature of the mixture?
Two ice cubes, each of 3.0g are added to lukewarm bottle of water at 7ºC. How much of the ice’s mass will melt? (Lf=333×103 j/kg,L_f=333\times10^3\ j/kg, and 4190 j/kg k4190\ j/kg \ k).
Calorimetry
Answer the following questions:
Practice: Calorimetry Part 2
Part 2
What happens if we add two 20 g20\ g ice cubes at −10°C-10\degree C into the same glass we had in part I. What is temperature at equilibrium? (temperature is in degrees of Celcius)
Cw=4190JKg⋅K, Ci=2100JKg⋅K, Li=334×103JkgC_w=4190\dfrac{J}{Kg\cdot K},\ C_i=2100\dfrac{J}{Kg\cdot K},\ L_i=334\times10^3\dfrac{J}{kg}
The following diagram shows the heating process of 200 g200\ g of an unknown substance at constant rate. The substance is solid at 20°C20\degree C. (Csolid=1300Jkg⋅KC_{solid}=1300 \frac{J}{kg\cdot K})
What is the power of heating?
What is the heat of fusion of this substance?
Practice: Calorimetry Part 3
Part 3
How much ice is left in the glass when the system in part 2 is at thermal equilibrium?
Cw=4190JKg⋅K, Ci=2100JKg⋅K, Li=334×103JkgC_w=4190\dfrac{J}{Kg\cdot K},\ C_i=2100\dfrac{J}{Kg\cdot K},\ L_i=334\times10^3\dfrac{J}{kg}
New Practice Question
A copper sphere with a radius of 5𝑐𝑚 𝑎𝑡 𝑇 = 80℃ is placed into a 2 kg steel vessel which is full of water and ice.
a. What is the final temperature of the system if the final radius of the
copper sphere is 4.996cm?
A copper rod in the form of a cylinder of radius 1cm and length of 1m is heated to 600°C and dropped into 2.00 kg of water at 20.0°C. Assuming that no energy is lost by heat to the surroundings, determine the final equilibrium temperature of the system.
density of Cu = 8.94g/cm3 c(Cu)=385 J/(kgC) c(water)=4182 J/(kgC)