Calorimetry Questions and Answers

rge q 24 The equation of state of n moles of a non ideal gas can be approximated by the equation P c where a and b are constants characteristic of the gas Which of the following can represent the equation of a quasistatic adiabat for this gas Assume that Cy the molar heat capacity at constant volume is independent of temperature a T V nb R Cy constant b T V nb Cv R constant T n a V d T ab V R V nb nRT n ab D V nb R Cy constant V nb Cv R constant

SolveLancer Test The power of solar concentrator is 250 J s Find the time required to raise the temperature of 5 kg of water by 30 C when placed at the focal point of the concentrator SolveLancer Test a 0 7 h b 0 8 h c 0 6 h d 0 5 h

The temperature of a body rises by 44 C when a certain amount of heat is given to it The same heat when supplied to 22 g of ice at 8 C raises its temperatur 6 C The water equivalent of the body is Given Swater 1 cal g C and L 80 cal g Sice 0 5 cal g C O 25 g 50 g 80 g

A hot liquid kept in a beaker cools from 80 C to 70 C in W two minutes If the surrounding temperature is 30 C then the time of cooling f the same liquid from 60 C to 50 C is 1 240 s 2 360 s 3 480 st 4 216 s

A piece of aluminium falls from a height of 200m on a fixed non conducti ng slab which brings it to rest If the specific heat of aluminium is 210 Cal kg the increase in temperature of the slab immediately after collision assume that there is no loss of heat 1 2 2 C 2 3 3 C 3 4 4 C 4 5 5 C

Question 4 20 pts A 50 g ice cube at 20 C is dropped into a thermally insulated container containing water at 10 C The final temperature is 5 C at thermal equilibrium Determine the initial volume of water

Temperature of equal masses of three different liquids A B and C are 20 C 30 C and 50 C respectively The temperature when A B are mixed is 24 C and when B and Care mixed is 42 C the temperature when A C are mixed is O 18 C O O 30 C 35 C 33 330C

How many cubes of ice at 20 C and 10 gm are required to reduce the temperature of 1000 gm of water from 75 C to 10 C Cice 0 5 cal gm C Cwater 1 cal gm C Lm 80 cal gm a 30 cubes b 81 25 cubes c 65 cubes Od 72 22 cubes

100 g ice at 0 C is dropped into a calorimeter water equivalent 50 g containing 100 g water at 40 C Resulting temperature of the mixture at equilibrium is nearly 1 120 3 10 C 2 20 C 4 0 C

How much gold in kg is melted if 2 3 mega joules MJ of heat energy is applied if it s initial temperature is at 35 degrees Celsius Specific heat capacity of gold is 130 J kgC 1 MJ is 1 000 000 J

What is the use of thin strip at the back of Vernier caliper For measuring internal diameter of a beaker For measuring depth of cylinder For measuring diameter of hollow cylinder For measuring radius of curvature of a

The temperature of a body rises by 44 C when a cer is given to it The same heat when supplied to 22 g of ice at 8 C raises its temperature by 16 C The water equivalent of the body is Given Swater 1 cal g C and L 80 cal g Sice 0 5 cal g C W 25 g O 50 g O 80 g 100 g

Suppose the temperature in degrees Celsius over a 9 hour period is given by T t 12 4t 37 a Find the average temperature b Find the minimum temperature c Find the maximum temperature

4 A constant volume gas thermometer shows pressure reading of 50 cm and 90 cm of mercury at 0 C and 100 C respectively When the pressure reading is 60 cm of mercury the temperature is 1 25 C 2 40 C 3 15 C 4 12 5 C

2 What is the use of thin strip at the back of Vernier caliper hr min For measuring internal diameter of a beaker For measuring depth of cylinder For m For measuring diameter of hollow cylinder

3 A calorimeter contains 100 g of ice at 20 C x g of water at 80 C is added to the calorimeter such that the final contents of the calorimeter are in thermal equilibrium with 40 C mercury The value of x is 1 325 3 100 2 400 4 60

In a thermally insulated vessel containing some water at 30 C 1 kg ice specific heat capacity 0 5 cal g C at 30 C is added The initial amount of water in the container if no phase change occurs is 1 kg 2 kg 0 5 kg 30 kg

a 330 K c 990 K d 1550 6 Three rods of copper brass and steel are welded together to form a Y shaped structure Area of cross section of each rod is 4 cm End of copper rod is maintained at 100 C whereas ends of brass and steel are kept at 0 C Lengths of the copper brass and steel rods are 46 13 and 12 cm respectively The rods are thermally insulated from surroundings except at ends Thermal conductivities of copper brass and steel are 0 92 0 26 and 0 12 in CGS units respectively Rate of heat flow through copper rod is 2014 Main a 1 2 cal s c 4 8 cal s b 2 4 cal s d 6 0 cal s

What is the heat in Joules required to convert 25 grams of 10 C ice into 150 C steam Useful information heat of fusion of water 334 J g heat of vaporization of water 2257 J g specific heat of ice 2 09 J g C specific heat of water 4 18 J g C specific heat of steam 1 70 J g C

540 calories of heat convert 1 cubic centimeter of water at 100 C into 1671 cubic centimeter of steam at 100 C at a pressure of one atmosphere Then the work done against the atmospheric pressure is nearly Answer A B Your Attempt 540 cal 40 cal Rate this questio Correct answer

kept in a container with an open mouth is placed in a large evacuated chamber 1 All the water will vaporise 2 All the water will freeze 3 Part of the water will vaporise and rest will freeze 4 Ice water and water vapour will be formed and reach equilibrium at triple point

3 A block of ice of mass 50 kg is sliding on a horizontal plane It starts with speed 5 m s and stops after moving through some distance The mass of ice that has melted due to friction between the block and the surface is assuming that no energy is lost and latent heat of fusion of ice is 80 cal g J 4 2 J cal a 2 86 g b 3 86 g c 0 86 g d 1 86 g

c 4 5 2 A copper ball of mass 0 2 kg falls freely from height of 15m and bounces to a height of 5m from the ground If the half of the dissipiated energy in this process is absorbed by the ball The rise in temperature is specific heat of copper 38604 Jkg K a 0 129 C b 0 130 C c 0 113 C d 0 100 C 00001

eezing of water Compared to a burn due to water at 100 C a burn due to steam at 100 C is 3 Equally dangerous 4 None of these 1 More dangerous 2 Less dangerous 1 Stoom

1 3 Sipho prepares a bath by mixing 10 0 kg of water at 20 0 C and 10 0 kg of water at 70 0 C into a bath tub The final temperature of the mixture is 40 C Given that the heat capacity of the bath is 28 0 x 10 J C and assuming no heat exchange with the surroundings Calculate the temperature of the bath tub before Sipho poured the mixture in it 4

Please explair this mam sir I want an detailed explanation 14 2 gm of steam condenses when passed through 40 gm of water initially at 25 C The condensation of se raises the temperature of water to 54 3 C What is the latent heat of steam rioy pri 1 540 cal g 2 536 cal g 3 270 cal g 4 480 cal g

Q5 B A perfect reversed heat engine is used for making ice at 5 C from water available at 25 C The temperature of freezing mixture is 10 C Calculate the quantity of ice formed per kWh 5 For ice specific heat 2 1 kJ kg K and latent heat 335kJ kg

2 kg of ice at 20 C is mixed with 5 kg of water at 20 C in an insulating vessel having a negligible heat capacity Calculate the final mass of water remaining in the container It is given that the specific heats of water and ice are 1 kcal kg per C and 0 5 kcal kg C while the latent heat of fusion of ice is 80 kcal kg 1 7 kg 2 6 kg 3 4 kg 4 2 kg

A refrigeration system operating on reversed Brayton refrigeration cycle is used for maintaining 250K If the temperature at the end of constant pressure cooling is 300K and rise I the temperature of air in the refrigerator is 50R then the network of compression will be assume air as the working substance with Cp 1 KJ kg k a 250 KJ kg b 200 KJ kg c 50 KJ kg d 25 KJ kg

A body cools in a surrounding of a constant temperature 30 C Its heat capacity is 2 J C Initial temperature of the body is 400C Assume Newton s law of cooling is valid The body cools to 380C in 10 minutes when the body temperature has reached 38 C it is heated again so that it reaches to 40 C in 10 minutes Find the total heat required in J from heater by the body

10 gm of ice at 20 C is added to 10 gm of water at 50 C Specific heat of water 1 cal gm C specific heat of ice 0 5 cal gm C Latent heat of ice 80 cal gm Then resulting temperature is Question Type Single Correct Type 1 20 C 2 3 15 C 0 C

A cooking vessel on a slow burner contains 5 kg of water and an unknown mass of ice in equilibrium at 0 C at time t 0 The temperature of the mixture is measured at various times and the result is plotted as shown in diagram During the first 50 min the mixture remains at 0 C From 50 min to 60 min the temperature increases to 2 C Neglecting the heat capacity of the heat capacity of the vessel the initial mass of the ice is 7 C 3 2 1 0 20 40 50 60 min kg kg

A metal cube of side length 1 cm and temperature is kept on an ice slab at 0 C and of thickness 4 cm Find the minimum value of 0 for which the cube falls through the slab Assume that ice after melting forms water at 0 C and only the ice below the metal cube melts Smetal 0 08 cal g C Pice 0 9 g cc Pm 10 g cc DA 36 C B 100 C Oc 360 C OD 500 C

A copper calorimeter of negligible heat capacity contains 1kg water at 20 C The minimum amount of ice at 20 C that should be added to the water s that there is no water in the calorimeter in equilibrium is 5x kg Find x Take S ice 0 5 cal g K L ice 80 cal g

Figure provides data for a boiler and air preheater operating at steady state Methane CH4 enterir the boiler at 25 C 1 atm is burned completely with 170 of theoretical air Ignoring stray heat trans and kinetic and potential energy effects determine the temperature in C of the combustion air entering the boiler from the preheater Air 25 C 1 atm Combustion gas at 662 C Preheater T 797 C CH4 25 C 1 atm Boiler Feedwater M Steam

A calorimeter contains 0 2 kg of water at 30 C 0 1 kg of water at 60 C is added to it the mixture is well stirred and the resulting temperature is found to be 35 C The water equivalent of the calorimeter is 1 6300 J K 2 1260 J K 3 4200 J K none of these

m U 1 5 m lo Al 9 A sphere of a steel has diameter 5 70 cm at 27 C If diameter of ring at 27 C is 5 69 cm find the It is to be just inserted into a circular brass ring temperature at which the sphere just slide into the ring Given asteel 1 1 x 10 5 C 1 and abrass 1 9 10 5 C 1 pending

14 Two identical 1 0 kilogram blocks of copper metal one initially at a temperature T1 0 C and the other initially at a temperature T2 100 C are enclosed in a perfectly insulating container The two blocks are initially separated When the blocks are placed in contact they come to equilibrium at a final temperature Tf The amount of heat exchanged between the 2 blocks in this process is equal to which of the following The specific heat of copper metal is equal to 0 1 kilocalorie kilogram K O 50 kcal 25 kcal O 10 kcal 5 kcal 1 kcal

When 0 1 kg of ice at 0 C is mixed with 0 3kg of water at 35 C in a container The resulting temperature of the mixture is 8 C Calculate the heat of fusion of the ice Specific heat of water is 4200 J kg K

A temperat same as the A temperature degree on the Celsius scale scale IS A temperature degree on the Fahrenheit scale scale temperature degree on the Reaumur None of the above

Two tanks A and B contain water at 30 C and 80 C respectively Calculate the amount of water that must be taken from each tank to prepare 40 kg of water at 42 5 C O 24 kg 16 kg O 16 kg 24 kg 20 kg 20 kg O 30 kg 10 kg Marks 4 1

Equal masses of two liquids are filled in two similar calorimeters The rate of cooling will Depend on the nature of the liquids Depend on the specific heats of liquids Be same for both the liquids Depend on the mass of the liquids

Illustration 16 Steam at 100 C is passed into 1 1 kg of water contained in a calorimeter of water equivalent 0 02 kg at 15 C till the temperature of the calorimeter and its contents rises to 80 C What is the mass of steam condensed Latent heat of steam 536 cal g Solution Heat required by calorimeter water Q m c m c 40 0 02 1 1 x 1 80 15 72 8 kcal If m is mass of steam condensed then heat given by steam Q mL mc A0 m x 536 m x 1 x 100 80 556 m 556 m 72 8 Mass of steam condensed m 72 8 FFC 0 130 kg

Question 12 A beaker of water equivalent 20 gram contains 80 gm water specific heat capacity of water is 4200 J kg K and is placed on a conveyor belt The conveyor belt is moving with speed 5 m s The beaker is connected to an inextensible horizontal string and the other g 10m s end of which is fixed String 5m s The temperature of the beaker and the water is found to increase by 1 K in 2 minutes If 20 of the thermal energy produced is absorbed by water plus beaker system the friction force acting between the beaker and the belt is assuming that there is no heat loss from water and beaker to the surrounding Options a 3 5 N b 7 N c zero

a 150 g LO 20 g c 130 g d 35g 8 When 100 g of a liquid A at 100 C is added to 50 g of a liquid B at temperature 75 C the temperature of the mixture becomes 90 C The temperature of the mixture if 100 g of liquid A at 100 C is added to 50 g of liquid B at 50 C will be snad a 60 b80 C c 70 2019 Main 11 Jan II d 85 C In a process temperature and volume of one mole of an ideal

Heat supplied Heat supplied 16 Steam at 100 C is passed into 1 1 kg of water contained in a calorimeter of water equivalent 0 02 kg at 15 C till the temperature of the calorimeter and its contents rises to 80 C The mass of the steam condensed in kg is 1986 2M a 0 130 c 0 260 b 0 065 d 0 135

Two identical blocks of same metal are at 20 C and 80 C respectively Specific heat of the material of the two blocks increase with temperature Which of the following is true about the final temperature T when the two blocks are brought into contact Assume that no heat is lost to the surroundings DT will be 50 C Ty will be more than 50 C T will be less than 50 C T can be either more than or less than 50 C depending on the precise variation of the specific heat with temperature

12 15 One kilogram of ice at 0 0 C is mixed with one kilogram of water at 80 C C The final temperature of the mixture is Take Specific heat of water 4200 J kg 1k 1kg 1k 1 Latent heat of ice 336 kJ kg 1kg 1 Final Results 0 40 C 100 60 C 0 0 C

Water falls from a height of 210 m Assuming whole of energy due to fall is converted into heat the rise in temperature of water would be J 4 2 Joule cal 1 42 C 2 49 C 3 0 49 C 4 4 9 C 3 Loss in potential energy of water Increment in thermal energy of water

our different liquids each of mass 1 kg are separately heated at the same rate The initial temperatures of the liquids are all 20 C The boiling points b p specific heat capacities s h c and latent heat L h of the liquids are shown below Which one of them will ompletely evaporate first Liquid A P B Q C R D S b p C 8888 50 60 70 80 s h c J kg K 1000 900 700 500 L h J kg 30000 25000 25000 39000