Heat Transfer and Temperature Conversions

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Questions and Answers

What does the term 'Temperature' refer to in the context of heat transfer?

  • A measure of the total energy in a substance.
  • The amount of heat energy transferred to a body.
  • The average kinetic energy of particles in a substance. (correct)
  • The state of matter of a substance.

How would you convert a temperature of 100°C to Kelvin?

  • Add 32 to the Celsius value.
  • Multiply the Celsius value by 9/5.
  • Add 273 to the Celsius value. (correct)
  • Subtract 100 from the Celsius value.

What is the correct calculation for converting 80°F to Celsius?

  • Tc = (5/9 * (80 + 32))
  • Tc = (80 - 32) * 9/5
  • Tc = (9/5 * 80) + 32
  • Tc = (5/9 * (80 - 32)) (correct)

What is the formula to calculate heat capacity?

<p>$C = rac{Q_{total}}{ riangle T}$ (A)</p> Signup and view all the answers

If the temperature difference of water is measured as from 25°C to 80°C, what is ΔTc?

<p>55°C (D)</p> Signup and view all the answers

Which material requires the most energy to raise its temperature by 20°C based on given data?

<p>Water (A)</p> Signup and view all the answers

Which of the following equations accurately describes the conversion from Celsius to Fahrenheit?

<p>TF = (9/5 * Tc) + 32 (C)</p> Signup and view all the answers

What is the specific heat of glass in the provided data?

<p>0.32 Cal/g °C (A)</p> Signup and view all the answers

If the mass of a substance is doubled, what happens to the heat required to raise its temperature by a certain amount?

<p>It doubles (D)</p> Signup and view all the answers

Based on the rankings of energy required to increase temperature, which correct sequence describes the materials from least to greatest energy requirement?

<p>Water &gt; Glass &gt; Iron (C)</p> Signup and view all the answers

What is the result of the temperature calculation given the formula T = PT - P0 × 100 / (P100 - P0) if PT is 40, P0 is 20, and P100 is 100?

<p>25°C (B)</p> Signup and view all the answers

Why does the mercury thermometer cease to function effectively at temperatures below -38°C?

<p>Mercury does not expand at low temperatures. (A)</p> Signup and view all the answers

What is the fundamental operation behind a thermo couple?

<p>It converts thermal energy into electrical energy. (C)</p> Signup and view all the answers

What phenomenon does the Seebeck Effect describe?

<p>Generation of a voltage due to temperature difference between two conductors. (D)</p> Signup and view all the answers

What is the specific heat given in the content, and what does it represent?

<p>10 J/kg.°C, the heat required to raise temperature by 1°C. (D)</p> Signup and view all the answers

What is the heat gained by the water when it is heated from 50°C to 100°C?

<p>25080 J (B)</p> Signup and view all the answers

How much heat does the container gain when heated from 50°C to 100°C?

<p>1900 J (B)</p> Signup and view all the answers

What is the total heat gained by both the water and container combined?

<p>25180 J (D)</p> Signup and view all the answers

What is the latent heat required to melt the steam?

<p>4520 J (C)</p> Signup and view all the answers

What is the specific heat value of steam as given in the calculations?

<p>2 J/g °C (B)</p> Signup and view all the answers

What does the symbol $K$ represent in the heat transfer formula for conduction?

<p>Thermal conductivity (B)</p> Signup and view all the answers

In the equation $P = eta au A (T_1^4 - T_2^4)$, which variable represents the temperature difference affecting heat transfer by radiation?

<p>$T_1^4 - T_2^4$ (C)</p> Signup and view all the answers

If the temperature of the cold surface $T_{cold}$ is increased while keeping other factors constant, what will happen to the heat transferred $Q$ assuming conduction?

<p>It will increase. (B)</p> Signup and view all the answers

Which of the following is a necessary factor when calculating the rate of heat transfer that involves mass?

<p>Time (C)</p> Signup and view all the answers

Given the variables in the heat transfer equations, what do the units of $Q$ typically represent?

<p>Joules (B)</p> Signup and view all the answers

Flashcards

Temperature Calculation Formula

A formula used to calculate temperature (T) based on pressure readings (P0, P100, PT).

Mercury Thermometer

A thermometer that uses the expansion of mercury to measure temperature.

Temperature Limit of Mercury Thermometers

Mercury thermometers don't work below -38°C because mercury doesn't expand at these low temperatures.

Thermo Couple

A device for converting thermal energy into electrical energy.

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Seebeck Effect

The phenomenon where a voltage is generated in dissimilar conductors due to a temperature difference.

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Specific Heat

The amount of heat needed to raise the temperature of 1 kg of a substance by 1°C.

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Example Temperature Calculation

An example of using the temperature calculation formula: 40 - 20 × 100 / (100 - 20) = 25°C.

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Medical Thermometer

A type of thermometer used to measure body temperatures.

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Heat

Energy transferred from a hotter object to a colder object.

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Temperature

Average kinetic energy of particles in a substance.

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Kelvin

Temperature scale without a negative zero point, using absolute zero.

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Celsius

Temperature scale, where 0°C is the freezing point of water and 100°C is the boiling point of water.

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Fahrenheit

Temperature scale, where 32°F is the freezing point of water and 212°F is the boiling point of water.

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Temperature Conversion (K to C)

TK = Tc + 273

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Temperature Conversion (C to F)

Tc = 5/9 * (TF - 32)

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Temperature Conversion (F to C)

TF = 9/5 * (Tc + 32)

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Temperature Difference

The change in temperature, calculated by subtracting the initial temperature from the final temperature.

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Heat Capacity

The amount of heat needed to raise the temperature of an object by 1°C.

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Specific Heat

Amount of heat required to raise the temperature of 1 kg of a substance by 1°C.

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Heat Capacity Formula

C = Q / ΔT. Where C is Heat Capacity, Q is total heat, and ΔT is the change in temperature

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Specific Heat Formula

c = C/m = Q / (m * ΔT). Where c is specific heat, C is Heat Capacity, m is mass, Q is total heat, and ΔT is the change in temperature

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Heat Calculation Formula

Q = m * c * ΔT. Where Q is heat, m is mass, c is specific heat, and ΔT is temperature change

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Iron Specific Heat

0.1 Cal/g °C

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Glass Specific Heat

0.32 Cal/g °C

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Water Specific Heat

1 Cal/g °C

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Ranking of Heat Capacity

Water > Glass > Iron

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Heat gained by Water

The energy absorbed by water to increase its temperature.

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Heat gained by container

The energy absorbed by the container (glass) to increase its temperature.

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Latent Heat

Energy required for a substance to change phase (from steam to liquid water, in this case).

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Specific Heat

The amount of heat needed to raise the temperature of one gram of a substance by one degree Celsius.

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Final Temperature

The temperature reached when the steam and water achieve thermal equilibrium.

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Steam Temperature

The starting temperature of the steam.

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Water Mass

The mass of the water present in the container.

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Container Mass

The mass of the container itself (often glass).

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Total Heat Gained

The sum of the heat gained by water, container, and steam during the phase change.

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Heat Transfer

The movement of thermal energy from a hotter object to a colder object.

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Conduction

Heat transfer through direct contact between objects.

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Radiation

Heat transfer through electromagnetic waves.

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Conduction Formula

Q = K A (Thot - Tcold).

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Radiation Formula

P = εσA(T₁⁴ - T₂⁴).

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Heat Transfer Rate

The amount of heat transferred per unit of time. Measured in Watts.

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Temperature Difference

The difference in temperature between two objects or locations.

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Thermal Conductivity (K)

A material's ability to conduct heat.

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Emissivity (ε)

Measure of how well a surface emits radiation.

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Stefan-Boltzmann Constant (σ)

A physical constant in the Stefan-Boltzmann law.

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Power (in radiation)

Rate at which energy is transferred as radiation

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Study Notes

Heat Transfer

  • Heat: Energy transfer from hot to cold
  • Temperature: Average of kinetic energy

Temperature Conversions

  • Kelvin (K) = Celsius (°C) + 273
  • Celsius (°C) = 5/9 x (Fahrenheit (°F) - 32)
  • Fahrenheit (°F) = 9/5 x (°C + 32)

Example Calculations

  • Convert 50°C to Kelvin: 50 + 273 = 323K
  • Convert 18°C to Fahrenheit: 9/5 x (18 + 32) = 64.4°F
  • Calculate the difference in temperature in degrees Celsius between 80°C and 25°C: 80 - 25 = 55°C

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