Calorimetry Questions and Answers

2 The thermo e m f E in volts of a certain thermo couple is found to vary with temperature difference 0 in C between the two junctions according to the 8 relation E 300 The neutral temperature for the thermo couple will be AIPMT Mains 2010 15 1 450 C 2 400 C 3 225 C 4 30 C

Mass m of steam at 100 C is added to mass m of ice and mass M of water both at 0 C in a container of negligible heat capacity The specific heat of water is c The latent heat of vaporization of water is L and that of fusion of ice is L Which one of the following equations would give the value of 8 the final temperature of the mixture assuming that all of the steam condenses all of the ice meits and there are no heat exchanges with the surroundings mky mcem mice Mc OB mil m c 100 ml mc Mc OmL mic 100 0 mal myco Omic 100 ml Moll mama1000 Mc

According to the theory of specific heats of solids at extremely low temperature the specific heat S of a solid varies with absolute temperature T as S CT where C is a constant depending on the material of the solid The heat energy required to raise the temperature of 0 1 kg of the solid from 0 K to 4 K is S T TC 0 1 kg 6440 Ka A 4 2 C Joule 4 2 C 8 4 C Joule TRIGH S CT B 6 4 C Joule 6 4 C you

When 41 g of water is cooled from 73 C to 40 C how much heat energy is lost Use 4 186 J g C for specific heat Remember that heat LOST is negative Don t forget the sign Round your answer to the nearest whole number Do not add units

A student mixes 100 g of liquid A at a temperature of 80 C with 100 g of liquid B at a temperature of 20 C After the mixture comes to thermal equilibrium it has a temperature of 40 C The student contends If I mix 100 g of liquid A at a temperature of 60 C with 100 g of liquid B at a temperature of 30 C I will also end up with a 200 g mixture at a temperature of 40 C What if anything is wrong with the student s contention If something is wrong identify it and explain how to correct it If nothing is wrong explain the physics behind the student s answer QUO

The diagram below shows a closed system of two tanks that each contain water 140 mL of water at 20 C 140 mL of water at 72 C When the valve between the two tanks of water is opened the temperature of the water in each tank changes specific heat capacity c water 4 2 J g C density of water 1 0 g ml a What is the final temperature to the nearest whole degree Celsius b What is the final temperature on the Kelvin scale

7 Two iron nails 5 0 g and 2 0 g have the same temperature How does the amount thermal energy in the 5 0 g nail compare to that of the 2 0 g nail 1 Point The 5 0 g nail has 2 5 J more thermal energy than the 2 0 g nail The 5 0 g nail has 3 0 J more thermal energy than the 2 0 g nail The 5 0 g nail has 3 0 times the thermal energy as the 2 0 g nail The 5 0 g nail has 2 5 times the thermal energy as the 2 0 g nail

4 A blacksmith heats a 1 540 g iron horseshoe to a temperature of 1445 C before dropping it into 4 280 g of water at 23 1 C If the specific heat of iron is 0 4494 J g C and the water absorbs 947 000 J of energy from the horseshoe what is the final temperature of the horseshoe water system after mixing O A 734 C OB 298 C O C 76 7 C OD 29 8 C

If 25 6 J of energy raised 786 g of a substance from 20 0 C to 35 0 C what is the specific heat of the substance S Answer 2 17 x 10 J g C

5 A chemist mixes 75 0 g of an unknown substance at 96 5 C with 1 150 g of water at 25 0 C If the final temperature of the system is 37 1 C what is the specific heat capacity of the substance Use 4 184 J g C for the specific heat capacity of water O A 368 J g C OB 13 1 J g C OC 0 368 J g C OD 0 0112 J g C

An 0 03 kg ingot of metal is heated to 200 deg C and then dropped into a calorimeter containing 0 47 kg of water initially at 20 deg C The final equilibrium temperature of the mixed system is 23 7 deg C Find the specific heat of the metal Ch20 4190 J kg K Round your answer to 2 decimal places

The specific heat of aluminum is 0 900 J g C How many joules of heat are absorbed by 30 0 g of aluminum it is heated from 20 0 C to 40 0 C

Temp C ted by E Lee for Virtual Virginia 2021 150 135 120 105 90 75 60 45 30 A 15 B C D Heat kJ ing this heating curve complete the following statements The substance s melting or freezing point can be found between points Select elect the points alphabetically for example X and Y not Y and X Between points Select and Select elect the points alphabetically for example X and Y not Y and X E and Select the substance is in the liquid phase F

How many calories are required to heat up 1 70 kg of water from 10 00 degrees C to 35 0 degrees C 852 040 calories 852 000 calories O204 000 calories

7 How much heat is needed to raise the temperature of 200 g of lead c 0 11 kcal kg C by 10 C A 220 cal B 33 0 cal C 20 kcal 2000 cal

Q4 A small m 20g gold bead with a 2cm radius begins at T 22 C The bead is given Q 1 200J of heat in an oven before it is removed The specific heat of solid gold is c 0 12J g C The specific heat of liquid water is c 4 18J g C a What is the final temperature that the gold bead will be at 3pts b Calculate wavelength of light that the metal bead will emit 3pts c How much power will radiate from the small bead 3pts d After the bead of gold is removed from the oven it is placed in a cup with m 100g of water at T 20 C What is the final temperature that the water will warm to 3pts

Click to see additional instructions Questions 11 15 Shown here is the PT phase diagram for an unknown substance First identify the substance s state of matter in each of the three large regions of the diagram Then answer the following questions 13 At 2 0 atm pressure the substance s boiling point is approximately

Questions 16 17 At a science museum a stationary bicycle is connected to an electric generator By pedaling steadily a museum visitor is able to keep a 75 watt light bulb fully lit for 45 seconds 17 Suppose that only 18 percent of the person s food energy is actually delivered to to the light bulb as electrical energy while the remainder is expended on biological processes friction and other inefficiencies in the bicycle and generator Laulima contains a unique randomized value for the percentage How many dietary Calories of food energy did the person use during the time described above dietary Calories Calculate and enter your final answer to at least 2 significant figures There is no penalty for including too many significant figures but rounding to too few sig figs may cause Laulima to judge your answer to be wrong Do NOT enter units with your answer enter only a numerical response Laulima will count non numerical answers as incorrect Partial credit is NOT possible

21 How much total heat is required to transform 1 46 liters of liquid water that is initially at 25 0 C entirely into H O vapor at 100 C Convert your final answer to megajoules 3 283987 MJ Laulima contains a unique randomized value for the volume of water Assume rapid heat transfer within the system and that the system is fully insulated from its surroundings Physical values for H O although you may not need to use all of them Lf L 2 256 000 l kg Cliquid water 4186 J kg K 334 000 I kg

Questions 18 19 A particular kitchen blender delivers 1100 watts of mechanical power while blending the mixed fruit in its carafe to make a smoothie Assume that 100 of this power is absorbed by the food as the blades spin 19 If the food has a total mass of 1 1 kg and an average specific heat capacity of 3 8 kJ kg K what is the average temperature increase of the food in degrees Celsius C Laulima contains unique randomized values for the mass and specific heat Assume rapid heat transfer and mixing within the food and that 100 of the heat remains in the food Assume no phase

22 How much total heat is needed to fully melt 13 6 kg of silver if the silver starts as a 25 0 C solid Convert your final answer to megajoules MJ Laulima contains a randomized value for the mass Assume rapid heat transfer within the system and that the system is fully insulated from its surroundings Physical values for silver Tmelt 961 C 88 0 kJ kg Csolid Ag 230 J kg K Lf

20 A 2 20 kg iron pot contains 3 00 kg of water all initially at 25 0 C A hot iron horseshoe with a mass of 493 grams is dropped into the water After the pot horseshoe and water all reach thermal equilibrium the final temperature of all three is 33 0 C What was the initial temperature of the hot horseshoe in degrees Celsius C Laulima contain a unique randomized value for the horseshoe mass Assume rapid heat transfer within the system and that the system is fully insulated from its surroundings Specific heat capacities Ciron 450 kk 1196 1kg K

A CUP HOLDS 500 GRAMS OF WATER c 4 19 J g C AT A TEMPERATURE OF 80 C IT IS ADDED TO ANOTHER CUP CONTAINING 800 GRAMS OF ETHANOL c 2 40 J g C THE FINAL TEMPERATURE OF THE MIXTURE IS 68 C A WHAT WAS THE AMOUNT OF HEAT LOST BY THE WATER B WHAT WAS THE AMOUNT OF HEAT GAINED BY THE ETHANOL C WHAT WAS THE INITIAL TEMPERATURE OF THE ETHANOL

4 A 0 125 kg block of an unknown substance with a temperature of 99 0 C is placed in an insulating container containing 0 400 kg of water at 20 0 C The system reaches an equilibrium temperature of 25 4 C What is the specific heat capacity of the unknown substance

The following information is given for mercury Hg at 1atm AHvap 357 C 59 3 kJ mol boiling point 357 C specific heat liquid 0 139 J g C At a pressure of 1 atm Submit Answer kJ of heat are needed to vaporize a 22 5 g sample of liquid mercury at its normal boiling point of 357 C Try Another Version 2 item attempts remaining

A sample of copper is heated to 590 C and placed in 400 g of water at 21 5 C The final temperature of the copper water mixture is 48 C What is the mass of the copper C water 4180 J Kg C C copper 386 J Kg C

How many Joules are given off when 120 0 grams of water are cooled from 25 to 25 C Use the chart below to answer Specific heat of ice Specific heat of water Specific heat of steam Heat of fusion of water Heat of vaporization for water O 87 000 J O 59 000 J 32 000 J 0 22 000 2 09 J g C 4 18 J g C 1 84 J g C 334 3 g 2206 J g Temperature C 120 100 0 20 Heating Curve for Water Q m AH fusion Q m C AT Q4 m AHvaporization Q m C AT Q m C AT Temperature Change Phase Change Time s

How many Joules are required to boil 150 0 grams of water Use the chart below to answer Specific heat of ice Specific heat of water Specific heat of steam Heat of fusion of water Heat of vaporization for water 560 500 J 330 900 J O 716 000 J O 150 000 J 2 09 J g C 4 18 J g C 1 84 J g C 334 J g 2206 J g Temperature C 120 100 20 Heating Curve for Water Q m AH fusion Q m C AT Q4 m AHvaporization 25 m C AT Q5 m Q m C AT Temperature Change Phase Change Time s

All changes save 3 A sample of 60 grams of water at 56 C is mixed in a styrofoam container with 89 grams of water at 30 C What is the final temperature of t water Assume the styrofoam container is a closed system O 51 C

If the heat capacities of both ice and steam are 0 5 cal g C the quantity of heat required to change 1 g of ice at 10 C to steam at 120 C is approximately 620 cal 735 cal 555 cal 750 cal 630 cal

600 g of water at 21 0 C is placed in an insulated Styrofoam cup Next a piece of ice of mass 230 g at an initial temperature of 10 0 C is placed in the water Together they reach an equilibrium temperature of 0 C SHOW ALL STEPS FOR CREDIT a How much ice has melted once the system reaches equilibrium 2 points b Now consider an aluminum block of mass 250 g initially at 180 C is added to the water and ice What is the equilibrium temperature this time CAI 0 215 cal g C 8 points

According to Newton s Law of Cooling if a body with temperature T is placed in surroundings with temperature To different from that of T the body will either cool or warm to temperature T after t minutes where T t To T Tole kt A chilled jello salad with temperature 50 F is taken from a refrigerator and placed in a 68 F room After 5 minutes the temperature of the salad is 56 F Use Newton s Law of Cooling to find the salad s temperature after 10 minutes After 10 minutes the jello salad will have a temperature of F GELEN

How much heat is needed to raise the temperature of 200 g of lead c 0 11 kcal kg C by 10 C 20 kcal 2000 cal 220 cal 33 0 cal

011 10 0 points A jar of tea is placed in sunlight until it reaches an equilibrium temperature of 31 5 C In an attempt to cool the liquid which has a mass of 179 g 113 g of ice at 0 0 C is added At the time at which the temperature of the tea is 29 2 C find the mass of the remaining ice in the jar The specific heat of water is 4186 J kg C Assume the specific heat capacity of the tea to be that of pure liquid water Answer in units of g

A sample of gaseo the final temperat Answer

If you mix 3 liters of 40°C water with 3 liters of 60°C water, you will end up with 6 liters of water at what temperature? A. not enough information B. less than 40°C C. greater than 60°C D. exactly 50°C E. somewhere between 40°C and 60°C, but not exactly 50°C

Calculate the rate of heat conduction out of the human body, assuming that the core internal temperature is 35.24 °C, the skin temperature is 32.57 °C, the thickness of the tissues between averages 1.76 cm, and the surface area is 1.23 m². (skin = 0.37W/m.°C)

How much heat per second would pass through an iron plate that is 1.7 cm thick if one face is at 151°C and the other is at 130°C? Its cross- sectional area is 3925 sq. cm and k is 80 W/m.K. Round your answer to 2 decimal places.

A 35 g block of ice is cooled to -61°C. It is added to 592 g of water in an 81 g copper calorimeter at a temperature of 21°C. Find the final temperature. The specific heat of copper is 387 J/kg °C and of ice is 2090 J/kg C. The latent heat of fusion of water is 3.33 x 105 J/kg and its specific heat is 4186 J/kg °C. Answer in units of °C.

A 100.0 gram sample of water is placed into a calorimeter. The initial temperature of the water is 22.2°C. A reaction is performed in the presence of the water, and the final temperature of the water is recorded as 18.1°C. How much heat is released by the water? How much heat is absorbed by the reaction?

A certain oil used in industrial transformers has a density of 1.174 g/mL and a specific heat of 1.348 Jg-1 °C-1. Calculate the heat capacity of one gallon of this oil. Given: 1 gallon = 3.785 liters and 1000 mL = 1 L Keep the answer with 2 decimal places. Do not write unit in answer.

A 5.0-kg chunk of copper is cooled to 195 K in frozen carbon dioxide. It is then placed into a bath of water at 0°C. How much water freezes? (The specific heat of copper is 385 J/kg K, the specific heat of water is 4190 J/kg K, the heat of fusion of water is 3.33 x 105 J/kg, the heat of vaporization of water is 2.26 x 106 J/kg.)

200. g of ice is put in a perfectly insulated thermos containing 800. g of tea. 100. g of ice melts before equilibrium is established and the temperature of the tea/ice mixture is 0.00 °C. What was the original temperature of the tea? The specific heat of the tea is 1.000 cal/g K, the heat of fusion of water is 79.72 cal/g and the density of tea is 1.000 g/mL. 0.00 cal 100.0 cal 22.0 cal 12.0 cal 10.0 cal 18.0 cal

(a) Calculate the work done by a gas in a cylinder if the gas absorbs 4.50 joules of heat (Q) and expands to a volume of 0.0010 m³ against a constant pressure of 475 Pa. (b) Use ΔU = Q + W to calculate the internal energy of the gas. Show your work and report your answers to 3 significant figures.

A student doing an experiment pours 0.500 kg of heated metal whose temperature is 98.0 °C into á 0.347 kg aluminum calorimeter cup containing 0.279 kg of water at 28.0 °C. The mixture (and the cup) comes to thermal equilibrium at 38.0 °C. The specific heat of the metal is J/kg °C. (specific heat of aluminum = 900 J/kg °C, specific heat of water = 4186 J/kg °C)

A piece of metal, with a low specific heat capacity, and an equally massive piece of concrete, with a high specific heat capacity, are set on a very large block of ice. Which of these objects will melt the most ice before cooling to 0°C? The piece of metal The piece of concrete Since they are at the same temperature, they will melt the same amount of ice.

What minimum heat is needed to bring 50 g of water at 30 °C to the boiling point and completely boil it away? The specific heat of water is 4190 J/(kg. K) and its heat of vaporization is 22.6x10^5 J/kg. Express your answer with the appropriate units.

The temperature of a brass bar rises by 10.0°C when it absorbs 2.00 kJ of energy by heat. The mass of the bar is 525 g. Determine the specific heat of brass from these data.

If 200 ml of tea at 90 °C is poured into a 400 g glass cup initially at 25 °C, what would be the final temperature of the mixture? Note: The specific heat capacity of water is 4186 J/kg °C, and the specific heat capacity of glass is 840 J/kg °C. 61.4 °C 71.4 °C 0°C 36.4 °C

you hammer a nail into wood, the nail heats up. 30 Joules of energy was absorbed by a 5-g nail as it was hammered into place. How much does the nail's temperature increase (in °C) during this process? (The specific heat capacity of the nail is 450 J/kg-°C, and round to 3 significant digits.