GRADE 8 PRACTICE
Physics Problems: Change in state of aggregation, Grade 8
Melting, evaporation, moisture and boiling.
Here the conditions and analysis of the solution can be read without an account. In the simulator, you need to collect the same analyzes yourself: “Given,” formulas, order of steps and answer.
Problem statements
The answer options are there to check against, and the walkthrough opens under each problem.
Problem #13
Melting, solidification and graphsWhat concept does the description correspond to: “Melting changes a solid into a liquid; solidification is the reverse change.»?
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- \text{Description}
- \text{Melting changes a solid into a liquid; solidification is the reverse change.}
\text{name concepts} - ?
- \text{Let's compare approval with definition}
For a pure crystalline substance, both processes at a given pressure occur at the same temperature.
- \text{Let's formulate conclusion}\text{Concept} = \text{Melting and solidification}
Answer\text{Concept} = \text{Melting and solidification}
Problem #14
Melting, solidification and graphsWhat concept does the description correspond to: “Temperature of phase equilibrium of solid and liquid states at a given pressure.»?
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- \text{Description}
- \text{Temperature of phase equilibrium of solid and liquid states at a given pressure.}
\text{name concepts} - ?
- \text{Let's compare approval with definition}
During equilibrium melting of a pure crystalline substance at constant pressure, energy changes particle arrangement and interactions while temperature stays constant. The molecules themselves are not destroyed. Pressure and impurities can change the transition temperature.
- \text{Let's formulate conclusion}\text{Concept} = \text{Melting point}
Answer\text{Concept} = \text{Melting point}
Problem #15
Phase transitionsHow much heat is needed to melt 0.5 kg of ice at 0 °C? The specific heat of fusion is 334 kJ/kg.
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- m
- 0{,}5\,\text{кг}
- \lambda
- 334\,\text{кДж/кг}
Q - ?
- Q=\lambda mQ=334\cdot0{,}5\,\text{кДж}Q = 167\,\text{кДж}
Answer167\,\text{кДж}
Problem #16
Evaporation, condensation and humidityWhat concept does the description correspond to: “Vapour in dynamic equilibrium with a liquid at a given temperature: the average rates of evaporation and condensation are equal.»?
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- \text{Description}
- \text{Vapour in dynamic equilibrium with a liquid at a given temperature: the average rates of evaporation and condensation are equal.}
\text{name concepts} - ?
- \text{Let's compare approval with definition}
Molecules continue to cross in both directions. In a closed vessel, saturation is reached if there is enough liquid and some remains; all the liquid may evaporate before that happens. Saturated vapour density depends on temperature. Unsaturated vapour has a lower density than saturated vapour at the same temperature, and evaporation can exceed condensation.
- \text{Let's formulate conclusion}\text{Concept} = \text{Saturated vapour}
Answer\text{Concept} = \text{Saturated vapour}
Problem #17
Evaporation, condensation and humidityWhat concept does the description correspond to: “Evaporation occurs from the surface of the liquid, and condensation turns the vapor back into liquid.»?
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- \text{Description}
- \text{Evaporation occurs from the surface of the liquid, and condensation turns the vapor back into liquid.}
\text{name concepts} - ?
- \text{Let's compare approval with definition}
Heating, wind and increased surface area speed up evaporation; the fastest molecules carry energy away and cool the liquid.
- \text{Let's formulate conclusion}\text{Concept} = \text{Evaporation and condensation}
Answer\text{Concept} = \text{Evaporation and condensation}
Problem #18
HumidityThe density of water vapor in the room is 8.5 g/m³, and the density of saturated vapor at the same temperature is 17 g/m³. Find the relative humidity.
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- \rho
- 8{,}5\,\text{г/м}^{3}
- \rho_{\text{нас}}
- 17\,\text{г/м}^{3}
\varphi - ?
- \varphi=\frac{\rho}{\rho_{\text{нас}}}\varphi=\frac{8{,}5}{17}\varphi = 0{,}5
- \varphi=50\,\%
Answer50\,\%
Problem #19
Boiling and vaporizationWhat concept does the description correspond to: “Intense vaporization throughout a liquid, with vapour bubbles forming and growing within it.»?
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- \text{Description}
- \text{Intense vaporization throughout a liquid, with vapour bubbles forming and growing within it.}
\text{name concepts} - ?
- \text{Let's compare approval with definition}
Boiling begins when the saturated vapor pressure is equal to the external pressure.
- \text{Let's formulate conclusion}\text{Concept} = \text{Boiling}
Answer\text{Concept} = \text{Boiling}
Problem #20
Boiling and vaporizationWhat concept does the description correspond to: “The energy required to convert a unit mass of liquid into vapor at the boiling point.»?
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- \text{Description}
- \text{The energy required to convert a unit mass of liquid into vapor at the boiling point.}
\text{name concepts} - ?
- \text{Let's compare approval with definition}
Condensing the same mass of vapour releases the same magnitude of energy.
- \text{Let's formulate conclusion}\text{Concept} = \text{Specific latent heat of vaporization}
Answer\text{Concept} = \text{Specific latent heat of vaporization}
Problem #21
BoilingTo convert it into steam, take 0.2 kg of water at boiling point. The specific heat of vaporization is 2.3 MJ/kg. Find the required heat.
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- m
- 0{,}2\,\text{кг}
- L
- 2{,}3\,\text{МДж/кг}=2300\,\text{кДж/кг}
Q - ?
- Q=LmQ=2300\cdot0{,}2\,\text{кДж}Q = 460\,\text{кДж}
Answer460\,\text{кДж}
Problem #97
Melting, solidification and graphsIce mass 0{,}2 kg is located at 0 °C. How much warmth need for him melting? Specific latent heat of fusion 334000 J/kg.
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- m
- 0{,}2\,\text{кг}
- l
- 334000\,\text{Дж/кг}
Q - ?
- Q=\lambda mQ=0{,}2 \cdot 334000Q=66800\,\text{Дж}
During melting, the temperature of the ice does not increase.
Answer66800\,\text{Дж}
Problem #98
Melting, solidification and graphsIce mass 0{,}5 kg is located at 0 °C. How much warmth need for him melting? Specific latent heat of fusion 334000 J/kg.
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- m
- 0{,}5\,\text{кг}
- l
- 334000\,\text{Дж/кг}
Q - ?
- Q=\lambda mQ=0{,}5 \cdot 334000Q=167000\,\text{Дж}
During melting, the temperature of the ice does not increase.
Answer167000\,\text{Дж}
Problem #99
Melting, solidification and graphsheater conveys ice power 334 W without losses. Mass ice 0{,}3 kg, initial temperature 0 °C, Specific latent heat of fusion 334000 J/kg. Find time full melting.
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- P
- 334\,\text{Вт}
- m
- 0{,}3\,\text{кг}
- l
- 334000\,\text{Дж/кг}
t - ?
- Q=m\lambdaQ=0{,}3 \cdot 334000Q=100200\,\text{Дж}
Finding the energy for the phase transition.
- t=\frac{Q}{P}t=\frac{100200}{334}t=300\,\text{с}
At constant power, time is equal to energy divided by power.
Answer300\,\text{с}
Problem #100
Melting, solidification and graphsheater conveys ice power 668 W without losses. Mass ice 0{,}4 kg, initial temperature 0 °C, Specific latent heat of fusion 334000 J/kg. Find time full melting.
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- P
- 668\,\text{Вт}
- m
- 0{,}4\,\text{кг}
- l
- 334000\,\text{Дж/кг}
t - ?
- Q=m\lambdaQ=0{,}4 \cdot 334000Q=133600\,\text{Дж}
Finding the energy for the phase transition.
- t=\frac{Q}{P}t=\frac{133600}{668}t=200\,\text{с}
At constant power, time is equal to energy divided by power.
Answer200\,\text{с}
Problem #101
Melting, solidification and graphsIce mass 0{,}2 kg at 0 °C completely melted down, then water heated up up to 20 °C. Find total warmth. Specific latent heat of fusion 334000 J/kg, heat capacity water 4200 J/(kg °C); losses no.
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- m
- 0{,}2\,\text{кг}
- T
- 20\,\text{°C}
- l
- 334000\,\text{Дж/кг}
- c
- 4200\,\text{Дж/(кг·°C)}
Q - ?
- Q_1=m\lambdaQ_1=0{,}2 \cdot 334000Q_1=66800\,\text{Дж}
First, energy is spent on melting.
- Q_2=cmTQ_2=4200 \cdot 0{,}2 \cdot 20Q_2=16800\,\text{Дж}
The resulting water is then heated.
- Q=Q_1+Q_2Q=66800 + 16800Q=83600\,\text{Дж}
We add up the energies of two different processes.
Answer83600\,\text{Дж}
Problem #102
Melting, solidification and graphsIce mass 0{,}3 kg at 0 °C completely melted down, then water heated up up to 30 °C. Find total warmth. Specific latent heat of fusion 334000 J/kg, heat capacity water 4200 J/(kg °C); losses no.
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- m
- 0{,}3\,\text{кг}
- T
- 30\,\text{°C}
- l
- 334000\,\text{Дж/кг}
- c
- 4200\,\text{Дж/(кг·°C)}
Q - ?
- Q_1=m\lambdaQ_1=0{,}3 \cdot 334000Q_1=100200\,\text{Дж}
First, energy is spent on melting.
- Q_2=cmTQ_2=4200 \cdot 0{,}3 \cdot 30Q_2=37800\,\text{Дж}
The resulting water is then heated.
- Q=Q_1+Q_2Q=100200 + 37800Q=138000\,\text{Дж}
We add up the energies of two different processes.
Answer138000\,\text{Дж}
Problem #103
Evaporation, condensation and humidityWater vapor density 8 g/m³, Saturated vapor density at that same temperature 20 g/m³. Find relative humidity.
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- r
- 8\,\text{г/м}^{3}
- R
- 20\,\text{г/м}^{3}
\varphi - ?
- \varphi=\frac{\rho}{\rho_{\text{нас}}}\cdot100\varphi=\frac{8}{20} \cdot 100\varphi=40\,\text{\%}
Both densities refer to the same temperature.
Answer40\,\text{\%}
Problem #104
Evaporation, condensation and humidityWater vapor density 12 g/m³, Saturated vapor density at that same temperature 24 g/m³. Find relative humidity.
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- r
- 12\,\text{г/м}^{3}
- R
- 24\,\text{г/м}^{3}
\varphi - ?
- \varphi=\frac{\rho}{\rho_{\text{нас}}}\cdot100\varphi=\frac{12}{24} \cdot 100\varphi=50\,\text{\%}
Both densities refer to the same temperature.
Answer50\,\text{\%}
Problem #105
Evaporation, condensation and humidityVolume rooms 30 m³, Relative humidity 50 %, Saturated vapor density 20 g/m³. Find mass water couple B room.
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- V
- 30\,\text{м}^{3}
- f
- 50\,\text{\%}
- R
- 20\,\text{г/м}^{3}
m - ?
- \rho=\rho_{\text{нас}}\frac{\varphi}{100}\rho=\frac{20 \cdot 50}{100}\rho=10\,\text{г/м}^{3}
Find the actual vapor density.
- m=\rho Vm=10 \cdot 30m=300\,\text{г}
Multiply density by volume.
Answer300\,\text{г}
Problem #106
Evaporation, condensation and humidityVolume rooms 40 m³, Relative humidity 60 %, Saturated vapor density 25 g/m³. Find mass water couple B room.
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- V
- 40\,\text{м}^{3}
- f
- 60\,\text{\%}
- R
- 25\,\text{г/м}^{3}
m - ?
- \rho=\rho_{\text{нас}}\frac{\varphi}{100}\rho=\frac{25 \cdot 60}{100}\rho=15\,\text{г/м}^{3}
Find the actual vapor density.
- m=\rho Vm=15 \cdot 40m=600\,\text{г}
Multiply density by volume.
Answer600\,\text{г}
Problem #107
Evaporation, condensation and humidityB closed room volume 40 m³ original density couple 15 g/m³. After cooling Saturated vapor density became 10 g/m³. Which one mass water will condense? Volume rooms permanent, 15 more 10.
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- V
- 40\,\text{м}^{3}
- r
- 15\,\text{г/м}^{3}
- R
- 10\,\text{г/м}^{3}
m - ?
- m_1=\rho Vm_1=15 \cdot 40m_1=600\,\text{г}
Find the initial mass of steam.
- m_2=\rho_{\text{нас}}Vm_2=10 \cdot 40m_2=400\,\text{г}
After cooling, no more than the saturation mass may remain in the vapor.
- m=m_1-m_2m=600 - 400m=200\,\text{г}
Excess steam turns into liquid.
Answer200\,\text{г}
Problem #108
Evaporation, condensation and humidityB closed room volume 50 m³ original density couple 18 g/m³. After cooling Saturated vapor density became 12 g/m³. Which one mass water will condense? Volume rooms permanent, 18 more 12.
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- V
- 50\,\text{м}^{3}
- r
- 18\,\text{г/м}^{3}
- R
- 12\,\text{г/м}^{3}
m - ?
- m_1=\rho Vm_1=18 \cdot 50m_1=900\,\text{г}
Find the initial mass of steam.
- m_2=\rho_{\text{нас}}Vm_2=12 \cdot 50m_2=600\,\text{г}
After cooling, no more than the saturation mass may remain in the vapor.
- m=m_1-m_2m=900 - 600m=300\,\text{г}
Excess steam turns into liquid.
Answer300\,\text{г}
Problem #109
Boiling and vaporizationWater mass 0{,}1 kg already boils. How much warmth need, to turn her B steam? Specific latent heat of vaporization 2260000 J/kg.
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- m
- 0{,}1\,\text{кг}
- L
- 2260000\,\text{Дж/кг}
Q - ?
- Q=mLQ=0{,}1 \cdot 2260000Q=226000\,\text{Дж}
Energy goes into the phase transition at a constant temperature.
Answer226000\,\text{Дж}
Problem #110
Boiling and vaporizationWater mass 0{,}2 kg already boils. How much warmth need, to turn her B steam? Specific latent heat of vaporization 2260000 J/kg.
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- m
- 0{,}2\,\text{кг}
- L
- 2260000\,\text{Дж/кг}
Q - ?
- Q=mLQ=0{,}2 \cdot 2260000Q=452000\,\text{Дж}
Energy goes into the phase transition at a constant temperature.
Answer452000\,\text{Дж}
Problem #111
Boiling and vaporizationBoiling water transmit power 1130 W B current 200 s. Which one mass will evaporate at absence losses? Specific latent heat of vaporization 2260000 J/kg.
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- P
- 1130\,\text{Вт}
- t
- 200\,\text{с}
- L
- 2260000\,\text{Дж/кг}
m - ?
- Q=PtQ=1130 \cdot 200Q=226000\,\text{Дж}
We count the energy transferred to boiling water.
- m=\frac{Q}{L}m=\frac{226000}{2260000}m=0{,}1\,\text{кг}
All the heat is spent on steam formation.
Answer0{,}1\,\text{кг}
Problem #112
Boiling and vaporizationBoiling water transmit power 2260 W B current 300 s. Which one mass will evaporate at absence losses? Specific latent heat of vaporization 2260000 J/kg.
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- P
- 2260\,\text{Вт}
- t
- 300\,\text{с}
- L
- 2260000\,\text{Дж/кг}
m - ?
- Q=PtQ=2260 \cdot 300Q=678000\,\text{Дж}
We count the energy transferred to boiling water.
- m=\frac{Q}{L}m=\frac{678000}{2260000}m=0{,}3\,\text{кг}
All the heat is spent on steam formation.
Answer0{,}3\,\text{кг}
Problem #113
Boiling and vaporizationwater mass 1 kg heated up from 20 up to 100 °C, then evaporated 0{,}1 kg. Find full warmth. c = 4200 J/(kg °C), L = 2260000 J/kg, losses no.
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- m
- 1\,\text{кг}
- T
- 20\,\text{°C}
- v
- 0{,}1\,\text{кг}
- c
- 4200\,\text{Дж/(кг·°C)}
- L
- 2260000\,\text{Дж/кг}
Q - ?
- Q_1=cm(100-T)Q_1=4200 \cdot 1 \cdot (100 - 20)Q_1=336000\,\text{Дж}
All the water is heated to boiling.
- Q_2=LvQ_2=2260000 \cdot 0{,}1Q_2=226000\,\text{Дж}
Only the specified mass is used for vaporization.
- Q=Q_1+Q_2Q=336000 + 226000Q=562000\,\text{Дж}
Let's sum up the heat of the two stages.
Answer562000\,\text{Дж}
Problem #114
Boiling and vaporizationwater mass 2 kg heated up from 30 up to 100 °C, then evaporated 0{,}2 kg. Find full warmth. c = 4200 J/(kg °C), L = 2260000 J/kg, losses no.
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- m
- 2\,\text{кг}
- T
- 30\,\text{°C}
- v
- 0{,}2\,\text{кг}
- c
- 4200\,\text{Дж/(кг·°C)}
- L
- 2260000\,\text{Дж/кг}
Q - ?
- Q_1=cm(100-T)Q_1=4200 \cdot 2 \cdot (100 - 30)Q_1=588000\,\text{Дж}
All the water is heated to boiling.
- Q_2=LvQ_2=2260000 \cdot 0{,}2Q_2=452000\,\text{Дж}
Only the specified mass is used for vaporization.
- Q=Q_1+Q_2Q=588000 + 452000Q=1040000\,\text{Дж}
Let's sum up the heat of the two stages.
Answer1040000\,\text{Дж}
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