1. (a) How much heat transfer is required to raise the temperature of a 1 -kg aluminum pot containing 2.8 kg of water from 30 °C to the boiling point and then boil away 0.9 kg of water? Specific heat of water = 1.00 kcal/kg °C Specific heat of aliminum = 0.215 kcal/kg °C Latent heat of vaporization for water = 539 kcal/kg 1 kcal = 4186 J Q kcal (b) How long does this take if the rate of heat transfer is 500 W? Time, t S
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- What quantity of joules of energy are needed to transform 11 kg of ice at 0.00°C to vapor at 155°C? Specific heat of water is cwater = 4186 J/kg C° Specific heat of steam is csteam = 2010 J/kg C° Latent heat of fusion of water is Lfusion = 3.33 X 105 J/kg Latent heat of vaporization of water is Lvaporization = 2.26 X 106 J/kg Boiling point of water = 100° C1. (a) The number of kilocalories in food is determined by calorimetry techniques in which the food is burned and the amount of heat transfer is measured. How many kilocalories per gram are there in a 6-g peanut if the energy from burning it is transferred to 0.5 kg of water held in a 0.1 -kg aluminum cup, causing a 55.9 °C temperature increase? The specific heat of water is 1.00 kcal/kg °C, and the specific heat of aluminum cup is 0.215 kcal/kg °C. Q kcal/g mp (b) Compare your answer to labeling information found on a package of peanuts and comment on whether the values are consistent. A label for unsalted dry roasted peanuts says that 30 g contains 185 calories (kcal). Find the (Q/m) from calorimetry techniques of the label on a box of roasted peanuts. Q EGE 4.86 m cal m labelA closed box is filled with dry ice at a temperature of -78.5 degreesC while the outside temperature is 21.0 degrees C the box is cubical measuring 0.4 m on a side and the thickness of the walls is 2.50 x 10^-2 m in one day 2.90 x 10^6 J of heat is conducted through the six walls find the thermal conductivity of the material from which the box is made
- The temperature of a 5.00-kg lead brick is increased by 525 C°. If the specific heat capacity of lead is 128 J/(kg.C°), what is the increase in the mass of the lead brick when it has reached its final temperature? O 5.80 × 10- -11 kg O 9.12 × 10-11 kg O 1.60 × 10-12 kg O 3.73 × 10-12 kg O 2.80 × 10-12 kgA student obtains the following data in a calorimetry experiment designed to measure the specific heat of aluminum. Initial temperature of water and calorimeter 70.3°C Mass of water 0.402 kg Mass of calorimeter 0.04 kg Specific heat of calorimeter 0.60 kJ/kg.°C Initial temperature of aluminum Mass of aluminum Final temperature of mixture (a) Use these data to determine the specific heat of aluminum. J/kg. °C (b) Is your result within 15% of 900 J/kg . °C? Yes No Need Help? 26.8°C 0.199 kg 66.4°C Read ItA 0.290 kg aluminum bowl holding 0.815 kg of soup at 25.0°C is placed in a freezer. What is the final temperature (in °C) if 391 kJ of energy is transferred from the bowl and soup, assuming the soup's thermal properties are the same as that of water? °C
- 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: SProblem 2: 0.4 kg of ice at – 10°C are mixed with 0.2 kg of water at 50°C. The water and ice are mixed in a calorimeter so that no heat escapes the system. The specific heat of ice is c; = 2090 J/(kg.°C), the la- tent heat of fusion of water is Lf = 3.33× 10° J/kg, and the specific heat of water is cu = 4186 J/(kg-°C). (a) What is the final temperature of the system? (b) How many kg of ice remain in the end? (c) How many kg of water remain in the end?275 g of cold water at 5.00 °C is mixed with 125 g of hot water at 80.0 °C. Assuming no energy is lost, what is the final temperature of the mixture? 21.6°C O 37.5 °C Ⓒ 28.4 °C 56.6 °C QUESTION 13 75 g of metal at 100 °C is mixed with 250 g of water at 20 °C and reaches an equilibrium temperature of 25 °C. What was the specific heat of the metal? 0.049 cal/g °C 9.8x10-3 cal/g °C 1.5 cal/g °C 0.22 cal/g °c