Calorimetry Questions and Answers

40 3 2 kg of ice at 10 C just melts with m mass of steam at 100 C then m is equal to cal g CA Sice 0 5 1 800 g 3 425 g IEW 2 625 g 4 325 g

The specific gravity of ice is 0 9 Find area in m of the smallest slab of ice of height 0 5 m floating in fresh water that will just support a 100 kg man 200

A cube of ice floats partly in water and partly in K oil Fig 1 Find the ratio of the volume of ice immersed in water to that in K oil Specific gravity of K oil is 0 8 and that of ice is 0 9 K Oil Water

10 gm of ice at 0 C is kept in a calorimeter of water equivalent 10 gm How much heat should be supplied to the apparatus to evaporate the water thus formed Neglect loss of heat 1 6200 cal 313600 cal 2 7200 cal 4 8200 cal

1 Q 4nR G 2 Q 4nR 0 1 2 3 4TR Q o 4 4 Q 4nR 0 A slab of stone of area 0 36 m and thickness 0 1 m is exposed on the lower surface to steam at 100 C A block of ice at 0 C rests on the upper surface of the slab In one hour 4 8 kg of ice is melted The thermal conductivity of slab is Given latent heat of fusion of ice 3 36 x 10 J kg AIPMT 2012 1 24 J m s C 2 1 29 J m s C 3 2 05 J m s C 4 1 02 J m s C Certain quantity of water cools from 70 C to 60 C in the first 5 minutes and to 54 C in the next 5 minutes The tem

Find the heat energy required to raise the temperature of n moles of a gas from To to 2To if its molar heat capacity varies as shown in the diagram The equation of the curve is CT constant CA 4C C T 2T

One day in the morning Ramesh filled up 1 3 bucket of hot water from geyser to take bath Remaining 2 3 was to be filled by cold water at room temperature to bring mixture to a comfortable temperature Suddenly Ramesh had to attend to something which would take some times say 5 10 minutes before he could take bath Now he had two options i fill the remaining bucket completely by cold water and then attend to the work ii first attend to the work and fill the remaining bucket just before taking bath Which option do you think would have kept water warmer Explain

2 In a thermocouple the temperature of the cold junction and the neutral temperature are 40 C and 275 C respectively If the cold junction temperature is increased by 60 C the neutral temperature and temperature of inversion respectively become a 275 C 530 C c 275 C 590 C b 355 C 530 C d 355 C 590 C

In an experiment an object is heated The data from the experiment is shown The energy transferred to the object is 3 0 kJ The mass of the object is 2 0 kg The rise in temperature of the object is 10 C The specific heat capacity of the object is 150 J kg C What is the thermal capacity of the object A 30J C B 300J C C 3000 J C D 9000 JA

slow A DIOCK converted into steam at 100 C Which of the following curves best represents the event T 5 1 1 3 t 2 4 4 If is conduc variatio 14 1

1 2 8 A metallic vessel of negligible heat capacity contains 0 5 kg of water of specific heat capacity 4200 J kg K It is heated from 15 C to 85 C by a 750 W immersion heater in 4 minutes The average loss of heat in watts to the surroundings from the vessel during this time is nearly 1 70 2 123 3 138 4 212

On an X temperature scale water freezes at 125 X and boils at 375 X On a Y temperature scale water freezes at 70 0 Y and boils at 30 0 Y The value of temperature on X scale equal to the temperature of 50 Y on Y scale is

5 A rope 3 cm diameter has a breaking strength 1 5 105 N The breaking strength of a similar ro 1 5 cm is diameter is 1 2 10 5 N 3 35 105 N 2 0 375 x 10 5 N 4 6 105 N

105 100 g ice at 0 C is dropped into a calorimeter of water equivalent 100 g containing 100 g water at 40 C Resulting temperature of the mixture at equilibrium is 1 0 C 2 20 C 3 5 C 4 10 C

Given A and B are input terminals Logic 1 5V Logic 0 1V Which logic gate operation the following circuit does A AND Gate B OR Gate C XOR Gate D NOR Gate 50 Q A KW B WWW 50 2 Vcc 6 V R 10 Q Va 20

12 80 gm of water at 30 C is poured on a large block of ice at 0 C The mass of ice that melts is 1 30 gm 2 80 gm 3 1600 gm 4 150 gm 13 Work done in converting 1g of ice at 10 C into stoom

100 g of ice at 0 C is mixed with 100 g of water at 100 C What will be the final temperature of the mixture Question Type Single Correct Type 1 10 C 2 20 C 3 30 C A 40 C

A hollow copper tube is filled completely using a steel rod The rod and tube are joined by two rivet pins as shown in the figure d d 2 Y Steel rivets Steel Copper Temperature of assembly is raised by AT after setting the rivets Now choose the correct options a Stress in copper oc tube d Strain in copper tube 1 3 ocu You Stress in steel steel tube b Stress in copper tube Stress in steel tube c Strain in steel tube steel AT 20 AT Cu

What amount of heat in kJ is required to convert 27 6 g of an unknown solid MM 83 21 g mol at 5 00 C to a liquid at 52 3 C specific heat capacity of solid 2 39 J g C specific heat capacity of liquid 1 58 J g C AHfus 3 72 kJ mol normal freezing point Tf 10 3 C

0 0 0 200 tls 400 600 ci Hot water from a reservoir maintained at constant temperature is being added at a very slow and constant rate in a calorimeter initially containing 1 0 kg of water at temperature 20 C The water in the calorimeter is being continuously stirred to maintain its temperature uniform The graph shows how the temperature of water in calorimeter changes with time t Assuming heat loss to the surroundings and work done in the stirring process to be negligibly small find the temperature of the hot water reservoir 80

9 Calculate the sensible heat stored per unit volume for the following heat energy mediums when their temperature is increased by 10 C a for water p 1000 Kg m Cp 4186 J Kg C b for methyl alcohol ps 810 Kg m Cp 2512 J Kg C

Q28 19 g of water at 30 C and 5 g of ice at 20 C are mixed together in a calorimeter What is the final temperature of the mixture Given specific heat of ice 0 5 cal g 0c and latent heat of fusion of ice 80 cal g 9 a 0 c b 5 C c 5 C d 10 C

an experiment on the specific heat of a metal a 0 20 kg block of the metal at 150 C is dropped in a copper calorimeter of water equiva 025 kg containing 150 cm of water at 27 C The final temperature is 40 C The specific heat of the metal is A 0 1 cal g C 1 B 0 2 cal g C 0 3 cal g C D 0 4 cal g C mo 10 13 pm mathongo

The specific heat of vaporization of water is about 2 260 kJ kg What is the energy needed to vaporize 0 65 kg of water Select one O a 3477 J O b 1469000 J c 1469 J

5 Two identical calorimeters one containing water and the other an unknown liquid are left in a room and allowed to cool Masses of the water the liquid and the calorimeter are equal Specific heat of water is 4 20 J g C and that of the material of the calorimeters is 0 36 J g C If the calorimeter containing water takes 60 s and that containing the unknown liquid takes 40 s in cooling from 50 C to 45 C what is the specific heat in J g C of the unknown liquid a 2 20 c 2 92 Speed distribution of moleculo b 2 68 d 3 40

4 A heater of constant power is used to boil water in a pot During heating temperature of water increases from 60 C to 65 C in 1 0 min When the heater is switched off temperature of water falls from 65 C to 60 C in 9 0 min If rate of heat dissipation to the surrounding remains almost constant what proportion of heat received by water during heating would be dissipated to the surroundings a 9 c 12 5 b 10 d 15

3 A metal cylinder is placed upright on horizontal top of an ice slab of temperature 0 C Initial temperature of the cylinder is 50 C The vertical curved surface and top of the cylinder are adiabatic while its base is perfectly conducting Ice below the base of the cylinder melts and the cylinder sinks into the hole thus formed What fraction of height of the cylinder will ultimately sink Specific heat of material of cylinder is 400 J kg C and density is 9 0 g cm Specific latent heat of melting of ice is 4 0 105 J kg and density is 0 9 g cm Neglect dip in melting point of ice due to increase in pressure a 30 b 50 b 40 c 60 A heater of constant power is used to boil water in o not During ting

When 100 g of boiling water at 100 C is added into a calorimeter containing 300 g of cold water at 10 C temperature of the mixture becomes 20 C Then a metallic block of mass 1 kg at 10 C is dipped into the mixture in the calorimeter After reaching thermal equilibrium the final temperature becomes 19 C What is the specific heat of the metal in C G S units

2 27 On an X temperature scale water freezes at 125 X and boils at 375 X On a Y temperature scale water freezes at 70 Y and boils at 30 Y The value of temperature on X scale is on which value of temperature on y Scale becomes 50 Y

In a resonance tube experiment the 1st resonance is obtained for 10 cm of air column and the second for 31 cm The end correction for this apparatus is 1 0 5 cm 3 0 33 cm 2 1 cm 4 0 67 cm

An insulated container holds 0 67 kg of water at 13 C Calculate the mass of 90 C water that must be added so that the final equilibrium temperature is 57 C The specific heat of water is 4190 J kg K

0 Three liquids of masses in the ratio 2 3 4 and specific heat ratio 2 2 5 are having temparatues 40 C 60 C 80 C Find resultant temparature if all of them are mixed 1 40 C 2 71 C 58 C 626 3 4

26 An aluminium sphere is dipped into water Which of the following is true a Buoyancy will be less in water at 0 C than that in water NCERT Exemplar at 4 C b Buoyancy will be more in water at 0 C than that in water at 4 C c Buoyancy in water at 0 C will be same as that in water at 4 C d Buoyancy may be more or less in water at 4 C depending on the radius of the sphere The radiug

are as registered by 8 A centigrade and a Fahrenheit thermometer a dipped in boiling water The water temperature is lowered until the Fahrenheit thermometer registers d 80 140 What is the fall in temperature a the centigrade thermometer a 30 b 40 c 60

The specific heat c of a solid at low temperature shows temperature dependence according to the relation c DT where D is a constant and T is the temperature in kelvin A piece of this solid of mass m kg is taken and its temperature is raised from 20 K to 30 K The amount of the heat required in the process in energy units is a 5 104 Dm c 65 4 104 Dm WB JEE 2013 b 33 4 104 Dm d 5 4 104 Dm 19

A thermometer of mass 50 gm and specific heat 0 4 cal gm C reads 10 C It is then inserted into 1 kg of water and reads 40 C in thermal equilibrium The temperature of water in C before insertion of thermometer is Neglect other heat losses Round off your answer to nearest Integer

If a hybrid DNA molecule labelled with N15 is allowed to replicate four times in culture medium having N14 the percentage of hybrid DNA after third generation would be Only One Correct Answer A 50 B C 25 12 5 D 6 5

4 The specific heat of water 4200 J kg K and the latent heat of ice 3 4 x 105 J kg 100 grams of ice at 0 C is placed in 200 g of water at 25 C The amount of ice that will melt as the temperature of water reaches 0 C is close to in grams A 61 7 B 69 3 D 63 8 1 www C 64 6

For each question marks will be awarded in one of the following categories Full Marks 4 If only the correct answer is given Zero Marks 0 In all other cases 1 kg mass of liquid A at temperature 30 C and 2kg mass of liquid B at 20 C are mixed in a calorimeter of negligible heat capacity If final temperature of the mixture is 25 C WH ratio of their specific heat capacity SA SB

Heat is given at constant rate to the substance X which is initially at 250K Its temperature v s time graph is given Here S S are specific heat capacities for solid and liquid state respectively and L L are latent heat of vapourisation and fusion respectively T K S Ly 450 350 250 C 1 10 30 60 180 t min

One gram vapour at 100 C is added in a calorimeter which contains 20 g mixture of water and ice in equilibrium to just melt the ice completely Then the mass of water present in the mixture before the process is Given Sw 1 cal g C 1 L 80 cal g Lv 540 cal g Options 4 g 8 g s 12 g 1 16 a

0 C 31 A block of wood is floating on water at 0 C with 31 h cichsten Ta RIGHT VI ER BR certain volume V above water level the temperature of water is raised from 0 C to 20 C How will the volume V change 1 Remains unchanged 2 Continuously decreases 3 It decreases till the temperature is 4 C and then goes on increasing 4 It increases till the temperature is 4 C and then goes on decreasing 32 On which of the following scales of temperature the temperature is never negative 32 1 3 2 3 4 C 4 1 2 125 Bullet 8 01

27 a If the coefficient of volume expansion of a material is 110 105 C Calculate the fractional change in density for a 30 C rise in temperature 3 b Two absolute scales P and Q have triple points of water defined to be 400 P and 700 Q What is the relation between the value of temperature on absolute scale P and Q i e Tp and To respectively 2

Part A If 20 of the gravitational potential energy of the water went into heating the water by how much would the temperature of the water increase in going from the top of the falls to the bottom Hint Consider a kilogram water going over the falls Express your answer using two significant figures VAZ CI

e What do you mean by viscosity index and explain all the terms involved in formula A coal has the following composition by weight C 90 O 3 S 0 5 N 0 5 and ash 2 5 Net calorific value of the coal was found to be 8 490 5 kcal kg Calculate the of hydrogen and higher calorific value of this coal 5 a For the formation of coal huge quantities of vegetable matter were accumulated and

Two identical beakers A and B contain equal two different liquids at 60 C each and left to cool down Liquid in A has density of 8x102 kg m and specific heat of 2000Jkg K 1 while liquid in B has density of 10 kgm 3 and specific heat of 4000Jkg K Which of the following best describes their temperature versus time graph schematically assume the emissivity of both the beakers to be the same JEE Main 2019 3 60 C T a c A 60 C TA vd boa T B A and B t b 60 C T d 60 C f L B B A 41 1 II t II

A metal bar with a mass of 3 0kg is placed in boiling water until its temperature stabilizes at 100 0 C The bar is then immersed placed in 500 g of water with an initial temperature of 20 0 C The mixture reaches a temperature of 35 0 C What is the specific heat capacity of the metal bar I 4 marks

5 g of water at 30 C and 5 g of ice at 20 C are mixed together in a calorimeter What is the final temperature of the mixture Given specific heat of ice 0 5 cal g C and latent heat of fusion of ice 80 cal g A 5 C B 5 C C 0 C D 10 C

8 0 16 g of oxygen is kept in a rigid container and is heated Find the amount of heat required to raise the temperature from 35 C to 45 C The molar heat capacity of oxygen at constant volume is 20 J mole k

1 A container of base of area S 200 cm and negligible heat capacity contains a mixture of water and ice each of mass m 1 0 kg and placed on a kerosene stove Calorific value of kerosene is q 7 0 104 kJ kg Specific heat of water is sw 4 2 10 J kg C specific latent heat of melting of ice is L 3 5 x 105 J kg specific latent heat of vaporization of water is L 2 5 106 J kg density of water is p 1000 kg m Boiling point of water is b 100 C and melting point of ice is 0m 0 C If n 50 of the heat obtained from burning the kerosene is transferred to the mixture find height of water level in the container after burning mk 34 g of kerosene