Frank Solutions and MCQ for Chapter 5 Heat Class 10 Physics ICSE
Exercise
(a) In what unit is the specific heat capacity expressed ?
(i) J
(ii) J/kg°C
(iii) J/kg
(iv) kg/J°C
(v) kg/J
(b) 2000 J of heat energy is required to raise the temperature of 4 Kg a metal by 3° C. Which expression gives the specific heat capacity of the metal ?
(i) 2000/(4×3) J/kg°C
(iii) 2000 × (4/3) J/kg°C
(iv) 4 × (3/2000) J/kg°C
(v) 2000 × (3/4) J/kg°C
(i) All of it
(ii) OA, BC and DE
(iii) AB and CD
(iv) DE
(v) CB
(i) Latent heat is emitted.
(ii) Latent heat is absorbed.
(iii) Specific heat capacity is emitted.
(iv) Specific heat capacity is absorbed.
(v) Both latent heat and specific heat are emitted.
Units: J/oC or calorie/°C
(b)Change in temperature = (50 - 30) = 20°C
Amount of heat required, Q = m × C × ? T
= 0.5 × 4200 × 20 = 42000 J
(b) Calculate the amount of heat given out by 600 g of aluminium while cooling from 100°C to 30°C. (Sp. heat cap. of aluminium = 900 J/kgK.)
(b) Change in temperature = (100-30) = 70°C = 70 K
Amount of heat given out, Q = m × C × T
= 0.6 × 900 × 70 = 37800 J
(b) 400 g of water at 80°C is mixed with 1 kg of water at 20°C. If the sp. heat cap. of water is 4200 J/kg K, find the final temperature of the mixture.
(c) A burner raises the temperature of 360 g of water from 40°C to 100°C in 5 minutes. Calculate the rate of heat supplied by the burner.
When a hot body is mixed or kept in contact with a cold body, there is a transfer of heat from hot body to cold body such that.
Total heat gained by colder body = Total heat lost by the hot body,
if there is no loss of heat to the surroundings.
One cabrie is the quantity of heat required to raise the temperature of 1 g of water by 1°C.
1 calorie = 4.186 joule
One kilocalorie is the quantity of heat rewired to raise the temperature of 1 kg of water by 1°C.
1 kcal = 4.186 × 103 joule
Heat lost by hot water = Heat gained by cold water
0.4 × C × (80-θ) =1× C × (θ - 20)
or, 32 - 0.48 = θ - 20
or, θ = 37.14°C
Change in temperature, ΔT = (100 - 40)°C = 60°C = 60 K
= 0.36 × 4200 × 60 = 90720 J
Time taken = 5 min = 300 sec
Rate of heat supplied = Q/t = 90720/300 = 302.4 J/s
Heat lost by solid = Heat gained by water
0.08 × C × (80 - 30) = 0.4 × 4200 × (30-10)
or , C = (0.4×4200×20)/(0.08×50) = 8400 J kg-1K-1
Heat lost by mercury = Heat gained by water
0.2 × 140 × (100 - 25) = m × 4200 × (25 -20)
or, m = (0.2×140×75)/(4200×5) = 0.1 kg = 100 g
(i) Latent heat,
(ii) Latent heat of fusion of ice.
(b) Calculate the amount of heat required to change 40 G of ice at -10°C into water at 20°C. (specific heat capacity of ice = 2.1 J/g°C, latent heat of fusion of ice = 330 j/g)
= 40 × 2.1 × 10 = 840 J
Amount of heat required to convert ice at Otto water at 0°C = mL
= 40 × 330 = 13200 J
Amount of heat required to convert water from 0°C to 20°C
= 40 × 4.2 × 20 = 3360 J
Total heat required during the process = 17400 J
(i) Specific latent heat,
(ii) Specific latent heat of fusion.
(b) What do you understand by the statement sp. latent heat of vapourisation of steam is 2268 J/kg?
(c) Calculate the amount of heat given out while converting 100 g of water at 50oC into ice at -5oC. (refer Q.9 for data).
(ii) Specific latent heat of fusion is the amount of heat required to change unit mass of a solid at its melting point into liquid at the same temperature.
Amount of heat given out while converting water at 0°C to ice at 0°C = mL
= 100 × 330 = 33000J
Amount of heat given out while converting ice from 0°C -50°C
= 100 × 2.1 × 5 = 10500J
Total heat required during the process = 64500J
Heat gained by ice = Heat lost by water
(b) What is boiling point of the substance?
(c) Calculate the Sp. heat cap. of solid.
(d) Calculate the Sp. latent heat of fusion.
(e) Calculate the Sp. heat cap. of the liquid.
Heat lost by lead = Heat gained by water
(a) Volume against temperature,
(b) Temperature against time.
(a) It is much easier to skate on rough ice than on glass.
(b) Sand mixed with salt is often spread over the icy roads in winter.
(c) A steam burn is usually worse than a hot water burn.
(d) Bottled drinks are cooled more effectively when surrounded by lumps of ice than by cold water at 0oC.
(a) Ice melts under pressure. So, when the steel blades of the skates pressed on the ice, the ice melts. The water formed makes the skates slide easily over the ice, reducing friction. So, when we are skating on ice, we are skating on a thin film of water, which acts like lubricating oil. Nothing such happens in case of glass.
(b) Sand improves the friction between car tyres and the road, so cars don't skid on icy surfaces. Salt is spread so as to decrease the melting point of ice. Ice on the roads melt, making the roads less slippery.
(c) Steam burn is worse than a hot water burn because 1 g of steam gives out 540 calories of additional heat.
(d) Lumps of ice cool better than cold water because each gram of ice requires additional 80 calories of heat to get converted into water. Hence, cooling capacity of lumps of ice is more than cold water.
(a) Calculate the rate at which cold water came out of the tap.
(b) State an assumption made in the above calculation.
(a) Mass of water in the bucket = Density × Volume
= 1000 kg/m3 × 0.01 m3 = 10 kg
Let the mass of water that came cut from the tap be m.
Heat lost by hot water Heat gained by cold water
10 × 4200 × (80 -50) = m × 4200 × (50 - 25)
300 = 25m
m =12 kg
12 kg of water came out of tap in 20 sec.
So, the rate at which cold water came out of the tap is 12/20 = 0.6kg/s = 600 g/s
(b) In the above calculation we assumed that there is no loss of heat to the surroundings
20. 650 J of heat is required to raise the temp. of 0.25 kg of lead from 15°C to 35°C. Calculate the Specific heat capacity of lead.
Mass of calorimeter, m1 = 57.5 g
Specific heat capacity of calorimeter, C1 = 0.4 J/g°C
Mass of water taken, m2 = 60 g
Specific heat capacity of water, C2 = 4.2 J/g°C
Mass of iron nails, m3 = 55 g
Specific heat capacity of iron - C3
Initial temperature of iron nails, X = 100°C
Initial temperature of calorimeter + water, y = 12°C
Final temperature of the mixture, z = 20'C
Heat lost by iron nails = Heat gained by calorimeter and water
Heat lost by lead = Heat gained by water
(b) The specific heat capacity of the oil.
(a) To bring the lead block upto its melting point,
(b) To completely melt the block at its melting point (Melting point of lead is 327°C, Sp. heat cap. of lead is 0.13 J/gk and latent heat of fusion of lead is 26 J/g)
Mass of lead block, m = 250 g
Change in temperature, ΔT = 327°C - 27°C = 300°C = 300 K
C = 0.13 J,/gK
Amount of heat required to raise the temperature to 327°C,
Q = m × C ×ΔT = 250 × 0.13 × 300 = 9750 J
Amount of heat required 133 completely melt the block upto its melting point
Q = m × L = 250 × 26 = 6500 3
Amount of heat required 133 convert ice into steam is as given below:
(ice from -10°C 133 0°C) = 0.1 ×2100 ×10 = 2100 J
(ice at 0°C to water at 0°C) = 0.1 ×336000 = 33600 J
(water from 0°C 133 100°C) = 0.1 ×4200 ×100 = 42000 J
(water at 100°C 133 steam at 100°C) = 0.1 ×2260000 = 226000 J
Total amount of heat required = 2100 + 33600 + 42000 + 226000 = 30370 3
Mass of molten metal = 150 g = 150 × 10-3 kg
Q = m × L
75000 = 150 × 10-3 × L
Heat gained by ice at - 16°C to convert to 0°C = Heat given out by 4 g of water to at 0°C to freeze into ice at 0°C.
(40 ×2.1× -16) = 4 × L
⇒ 1344 = 4L
⇒ L = 336 J/g
17 × L = 40× 4.25× 34
⇒ 17 L = 5780
⇒ L = 340 J/g
Heat gained by ice at 0°C to convert to water at 0°C = Heat lost by water to change the temperature from 35°C to 0°C
m × 336000 = 0.9 × 4200 × 35
⇒ m × 336000 = 132300
⇒ m = 0.39 kg
32. State, with reason, which of the two, boiling water or steam both at 100oC will produce more severe burns.
Steam at 100°C will produce more severe burns because every gram of steam gives out 2260 J of heat energy while condensing. This much amount of heat is additional to the heat contained in one gram of boiling water.
33. Ice cream appears colder to the mouth than water at 0°C. Give a reason.
Answer
(i) SI unit of heat is .........
(ii) 1 cal = .......... J
(iii) Whenever mechanical work is done, ............. Is produced.
(iv) Two bodies in contact are said to be in thermal equilibrium, if they have same ...........
(v) The normal temperature of a human body is .............
(vi) SI unit of specific heat is ..........
(vii) The amount of heat required to change the state of a physical substance without any change of temperature is called .......... of the substance.
(viii) Ice at o0C is colder than ...........at o0C.
(ix) Steam at 100oC is hotter than water at ............
(x) Evaporation causes ............
(i) SI unit of heat is ioule.
(ii) 1 cal = 4.2J
(iii) Whenever mechanical work is done, heat is produced.
(iv)Two bodies in contact are saidto be in thermal equilibrium, if they have the same temperature.
(v) The normal temperature of a human body is 37°C.
(vi) SI unit of specific heat is Jkg-1 C-1 .
(vii) The amount of heat required to change the state of a physical substance without any change of temperature is called latent heat of the substance.
(viii) Ice at 0°C is colder than water at 0°C.
(ix) Steam at 100°C is hotter than water at 100°C.
(x) Evaporation causes cooling.