Question

Two metal rods, one silver and the other gold, are attached to each other. The free...

Two metal rods, one silver and the other gold, are attached to each other. The free end of the silver rod is connected to a steam chamber, with a temperature of 100 degrees C, and the free end of gold rod to an ice water bath, with a temperature of 0 degrees C. The rods are 5.0 cm long and have a square cross-section, 2.0 cm on a side. How much heat flows through the two rods in 60 s? The thermal conductivity of silver is 417 W/(m•K), and that of gold is 291 W/(m•K). No heat is exchanged between the rods and the surroundings, except at the ends.

A) 8.2 KJ

B) 9.5 KJ

C) 12 KJ

D) 14 KJ

E) 16 KJ

Homework Answers

Answer #1

H=ΔQ/Δt = kA((TH-TL)/L)

Where TH=100°C, TL=0°C, Ks=417 W/(m*K), Kg= 291 W/(m*K), A=.0004m2, L=.05m, t=60s

You must find the temperature where the two meet first, T'.
Heat loss=Heat gain;

Qsilver=Qgold ksA((TH-T')/L)=kgA(T'-TL)/L) ksTH-ksT'=kgT'-kgTL T'=((ksTH)-(kgTL)/(ks+kg))

So...T'=417*100-291*0/(417+291) T'=58.8°C

Then us 58.8°C for the low and high in the initial equation to get heat.

ΔQ=(ΔQ/Δt)*Δt Hs=ksA((TH-T')/L)

Hs=417*(.0004)((100-58.8)/.05) Hs=137.4 J/s

Hg=291*(.0004)((58.8-0)/.05) Hg=136.8 J/s

We know Q=H*t Qs=Hs*t=137.4*60=8246J

⇒8.2KJ
So, Correct answer is option A i.e. 8.2KJ

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Two metal rods, one silver and the other gold, are attached to each other. The free...
Two metal rods, one silver and the other gold, are attached to each other. The free end of the silver rod is connected to a steam chamber, with a temperature of 1000C, and the free end of gold rod to an ice water bath, with a temperature of 00C. The rods are 5.0 cm long and have a square cross-section, 2.0 cm on a side. How much heat flows through the two rods in 60 s? The thermal conductivity of...
A Physics 4C student team is doing a thermal experiment where they have two rods of...
A Physics 4C student team is doing a thermal experiment where they have two rods of different materials. One rod is made of cooper and the other brass. They are joined together. The brass section has a length of 0.355 m. The copper section a length of 0.750 m. Each segment has cross-sectional area of 0.00475 m^2. Boiling water is in contact with the free end of the brass rod while the free end of the copper is in contact...
One end of an insulated metal rod is maintained at 100 ∘C and the other end...
One end of an insulated metal rod is maintained at 100 ∘C and the other end is maintained at 0.00 ∘C by an ice–water mixture. The rod has a length of 50.0 cm and a cross-sectional area of 1.20 cm2 . The heat conducted by the rod melts a mass of 9.00 g of ice in a time of 10.0 min . Part A Find the thermal conductivity k of the metal. k = W/(m⋅K)
Consider two long, slender, rods of the same diameter but different materials. One end of each...
Consider two long, slender, rods of the same diameter but different materials. One end of each rod is attached to the base surface maintained at 100 oC, while the surfaces of the rods are exposed to ambient air at 20 oC. By traversing the length of eacg rod with a thermocouple, it was observed that the temperatures of the rods were equal at the positions xA = 0.15 m and xB = 0.075 m, where x is measured from the...
Two metal rods of equal length-one aluminum, the other stainless steel-are connected in parallel with a...
Two metal rods of equal length-one aluminum, the other stainless steel-are connected in parallel with a temperature of 10.0 ∘C at one end and 122 ∘C at the other end. Both rods have a circular cross section with a diameter of 7.00 cm Part A Determine the length the rods must have if the combined rate of heat flow through them is to be 17.5 J per second. Express your answer using two significant figures.
A 2 cm thick steel pipe (thermal conductivity = 43 W/[m.C]) with 6 cm inside diameter...
A 2 cm thick steel pipe (thermal conductivity = 43 W/[m.C]) with 6 cm inside diameter is being used to convey steam from a boiler to process equipment for a distance of 40 m. The inside pipe surface temperature is 115 degrees C, and the outside pipe surface temperature is 90 degrees C. Calculate the total heat loss to the surroundings under steady-state conditions.
A copper rod, an aluminum rod, and a brass rod, each of 6.00 m length and...
A copper rod, an aluminum rod, and a brass rod, each of 6.00 m length and 1.00 cm diameter, are placed end to end with the aluminum rod between the other two. The free end of the copper rod is maintained at water’s boiling point, and the free end of the brass rod is maintained at water’s freezing point. We know that ??????? = 401 W⁄m. K , ????????? = 235 W⁄m. K and ?????? = 109 W⁄m. k. What...
To determine the thermal conductivity of a long, 25.0 mm diameter cylindrical rod, one half of...
To determine the thermal conductivity of a long, 25.0 mm diameter cylindrical rod, one half of the rod was inserted into a furnace while the other half projected into air at 27.0 degrees C. After steady state had been reached, the temperatures at two points 76.0 mm apart were measured and were found to be 126 degrees C. and 91.0 degrees C. The convective heat transfer coefficient of the surface of the rod exposed to the air was 22.7 W/m^2...
A cylindrical metal can, 0.1 m high and 0.05 m in diameter, contains liquid helium at...
A cylindrical metal can, 0.1 m high and 0.05 m in diameter, contains liquid helium at its normal boiling point of -452.074 degrees Fahrenheit. At this temperature Helium's heat of vaporization is 20.4 kJ/kg. The walls of the helium container are 1.2 cm thick and have a thermal conductivity of 13.889 W/(m K). The helium container is surrounded by liquid nitrogen at a temperature of -327.64 degrees Fahrenheit. A. What is the conductive surface area of the metal cylinder? B....
Two square-cross-section rods, one steel and the other copper, are welded end to end. Each rod...
Two square-cross-section rods, one steel and the other copper, are welded end to end. Each rod is 0.81 m long and has square side length of 3/8 inch on the ends. The combination is subjected to a tensile force with magnitude 4500 N. Part A For the steel rod, what is the elongation? Part B For the copper rod, what is the elongation?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT