A cake is removed from the oven after baking thoroughly and the temperature of the oven is 450°F. The temperature of the kitchen is 70°F. Fifteen minutes after taking the cake out of the oven, its temperature is 300°F. We want to wait until the cake has cooled to 80°F to cut and serve it. How long will we have to wait? Round your answer to the nearest minute.
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- Muffins are taken out of the oven with a temperature of 200°F and are placed on a cooling rack with a room temperature of 70°F. After 15 minutes, the muffins have cooled to 170°F. If it is recommended to wait 30 minutes before eating, what temperature would the muffins be? Round the value of k to the nearest fourth decimal place.Note: Round off your answer up to 3 decimal places. Input only the numerical value. Researchers are conducting a study to quantity the thermal conductivity of a composite material. A square box is made from 838 cm2 sheets of the composite insulating material that is 2.8 cm thick. A 201 W heater is placed inside the box. Sensors attached to the box show that the interior and exterior surfaces of one face have reached the constant temperatures of 81°C and 38°C. What is the thermal conductivity in W/m-K?A turkey is taken out of the oven with an internal temperature of 165 degrees Fahrenheit and is allowed to cool in a 75 degree Fahrenheit room. After half and hour, the internal temperature of the turkey is 145 degrees Fahrenheit. Write a formula that mixes this situation. to the nearest degree, what will the temperature be after 50 mins? to the nearest minute, how long will it take the turkey to cool to 110 degrees Fahrenheit?
- A particular pair of human lungs have a volume of 1.8 L when inflated. At this volume, the temperature inside the lungs is 98.7°F. If the temperature of the air outside the lung is 43.2°F, what volume of cooler outside air is being inhaled and warmed? Round your answer to 2 decimal places.You are put on a wool sweater of approximately 1.5 kg, because it is around 30 °F outside. The wool sweater was initially around room temperature of about 75 °F. It takes about 1.47 J of energy for the sweater to go from room temperature to the temperature outside. What is the specific heat capacity of the sweater? Please express the specific heat capacity in the unit of joules/kg.degrees CelsiusA patient has an illness that typically lasts about 24 hours. The temperature, T, in degrees Fahrenheit, of the patient t hours after the illness begins is given by: T(t) = -0.012t² +0.3t +98.7. Use your calculator to graph the function and answer the following questions. Round all answers to 1 decimal place. When does the patient's temperature reach it maximum value? Answer: After hours What is the patient's maximum temperature during the illness? Answer:
- A suspension bridge cable is exposed to the elements. For this particular bridge, temperatures vary from 6°C up to 36°C. The cable is made of a steel with a coeficient of thermal expansion of 12x10-6 1/°C. The cable is 3.1 km long. How much longer will the cable be (at hottest temp vs. coldest temp.)? (units in m)Problem 17. A bowling ball at rest has a temperature of 23.0 °C. The ball is then rolled down a bowling alley. Ignoring the dissipation of energy by friction and drag forces, what is the temperature of the ball in °C when the ball was at rest? Write your answer with one decimal point.A roast turkey is taken from an oven when its temperature has reached 185°F and is placed on a table in a room where the temperature is 75°F. a) If the temperature of the turkey is 150°F after half an hour, what is the temperature (in °F) after 80 minutes? b) After how many minutes will the turkey have cooled to 115°F?
- You have 975 grams of liquid water in a 275 gram glass container. Initially, the water and the container both have a temperature of 22.5 ̊C. You would like to cool the water and the container to a final temperature of 10.5 ̊C. You have a large supply of ice, which is initially at 0 ̊C. How much ice would you need to add to the container in order to get the desired final temperature after the ice melts and thermal equilibrium is reached? Give your answer in grams. The specific heat of liquid water is 4,186 J kg−1 ̊C−1, the specific heat of glass is 845 J kg−1 ̊C−1, and the latent heat of fusion of water is 333,500 J kg−1. Assume that the glass + liquid water + ice is an isolated system (i.e., no heat flows in or out of the system during this process).You wish to heat 20 kg of water from 40°C to 80°C. How many kcal of heat are necessary to do this? To how many kJ does this correspond? You submerge 100 grams of steel in 200 grams of water. If the steel has an initial temperature of 90°C and the water has an initial temperature of 15°C, what is the final temperature of the system? The specific heat capacity of the steel is 0.15 cal/g•°C. Suppose that the 1.3 km span of the Golden Gate Bridge had no expansion joints. Calculate how much longer the bride would be if the temperature of the bridge increases by 25°C.A 900 g copper rod at 20 degrees celcius has a length of 1.0000 m. The thermal expansion coefficient of copper is 17 x 10^-6 degrees celcius -1. The specific heat capacity is 0.385 kJ/kg degrees celcius. Question A: The copper is heated to 400 degrees celcius. What is the new length? Give the answer in meters and with 4 digits of precision after the decimal. Question B: The hot copper is then quenched by dunking the entire rod in a bucket with 10 kg of water at 20 degrees celcius. The specific heat capaciy of water is 4.18 kJ/kg degrees celcius. If none of the water turns to steam what is the equilibrium temp of the copper rod and water? Please give the answer in degrees celcius Question C: You measure the equilbrium temp and find that it is 24 degrees celcius. If the latent heat of vaporization of water is 2,260 kJ/kg, what mass of water turned to steam? Answer in grams