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How can I find out how long it takes for two objects to reach thermal equilibrium?

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A cold object at 6°C is placed in an insulated cup of water at 25°C. Determine whether or not each of the following will occur (a) The increase in temperature of the object will be equal to the decrease in temperature of the water. (b) Only the object will change temperature. (c) Only the water will change temperature.
#6. My buddy is starting to get hypothermic (body temperature 306 K) during an epic backcountry ski adventure. Since I'm quite warm (body temperature 310 K), I decide to get in a sleeping bag with him to try and warm him up. What heat transfer mechanism will be most responsible for heating him up? For simplicity, ignore any internal temperature differences across my body (that is, assume my skin temperature is also 310 K). Use num- bers to support your answer (for human skin, you can use the following values: surface area A = 1.50 m², emissivity = 0.970, thickness d= 0.0250 m, thermal conductivty 0.200 ms.K)
#6. My buddy is starting to get hypothermic (body temperature 306 K) during an epic backcountry ski adventure. Since I'm quite warm (body temperature 310 K), I decide to get in a sleeping bag with him to try and warm him up. What heat transfer mechanism will be most responsible for heating him up? For simplicity, ignore any internal temperature differences across my body (that is, assume my skin temperature is also 310 K). Use num- bers to support your answer (for human skin, you can use the following values: surface area A = 1.50 m², emissivity € = 0.970, thickness d = 0.0250 m, thermal conductivty 0.200 ms.K) J
Because water is a much more efficient thermal conductor than air, marine mammals often have thick layers of blubber (under-skin fat, with a thermal conductivity of 0.250 W/(m °C)) and a small surface-to-volume ratio to minimize the loss of energy by heat to the surrounding water. The beluga whale, Delphinapterus leucas, is a species of whale native to the Arctic and sub-Arctic regions. The core body temperature of this whale is usually 37.0°C, and its basal metabolic rate (BMR) is 7.30 x 104 kJ/day. The beluga often finds itself near the Arctic ice sheet, where the water temperature is very close to 0°C. (a) Modeling the body of the whale as a cylinder of length h = 4.10 m and diameter d = 1.20 m,estimate the average thickness (in cm) of the beluga's blubber required to keep the core temperature of the whale fixed at 37.0°C. (For simplicity, treat the blubber layer on the lateral cylindrical surface as a rectangular slab with a constant area. Take the front and rear surfaces of the…
1. (a) How much heat transfer is necessary to raise the temperature of a 0.26 -kg piece of ice from -20 °C to 130 °C, including the 20 kJ/s energy needed for phase changes? Specific heat of ice = 2.090 kJ/kg °C Specific heat of water = 4.186 kJ/kg °C Specific heat of steam = 1.520 kJ/kg °C Heat of fusion of water = 334 kJ/kg Heat of vaporization = 2256 kJ/kg (i) Heat needed to warm ice to 0 °C: Q₁: ✔KJ (ii) Heat needed to melt ice at 0 °C: Q₂: KJ (iii) Heat required to warm 0 °C water to 100 °C: Q3: KJ (iv) Heat required to vaporize water at 100 °C: Q4: KJ (v) Heat required to warm 100 °C vapor to 130 °C: Q5: KJ Total heat, Q: KJ (b) How much time is required for the entire process, assuming a constant 20.0 kJ/s rate of heat transfer? Total time, t: S
A 1.17 kg hammer strikes a 20 g brass nail into a wood board. The nail is horizontally aligned and at the moment of impact with the nail, the hammer had a speed of 9.1 m/s. Assume both the hammer and the nail come to a stop and that all of the thermal energy generated goes into heating the nail. Determine how much the temperature of the nail will increase after one hit and how many hits it will take to increase its temperature 88°C ΔT after one hit = Minimum number of hits needed to increase the temperature by at least 88°C =
it is important not to undercook chicken, otherwise you might get very sick. The inside of the chicken has to be at a certain temperature (75 C or 165 F) to make sure it is safe. Why can’t you just wait until the outside of the chicken is at this temperature? Why isn’t the entire chicken at the same temperature while it is being cooked?