Temperature and its Measurement – Formula & Equation Sheet
Essential formulas and equations from Curiosity, tailored for Class 6 in Science.
This one-pager compiles key formulas and equations from the Temperature and its Measurement chapter of Curiosity. Ideal for exam prep, quick reference, and solving time-bound numerical problems accurately.
Key concepts & formulas
Essential formulas, key terms, and important concepts for quick reference and revision.
Formulas
Temperature in Kelvin scale = Temperature in Celsius scale + 273.15
This formula converts Celsius temperature (°C) to Kelvin (K), where °C is the temperature in degrees Celsius and K is the temperature in Kelvin. It’s crucial in scientific contexts where Kelvin is the SI unit of temperature.
Fahrenheit to Celsius conversion: °C = (°F - 32) × 5/9
This formula converts Fahrenheit (°F) to Celsius (°C). It shows the relationship between two common temperature scales, essential for understanding different measurement systems.
Celsius to Fahrenheit conversion: °F = (°C × 9/5) + 32
This formula converts Celsius (°C) temperatures to Fahrenheit (°F). It's useful when needing to report temperatures in a preferred scale.
Thermometer Reading: T = T_initial + ΔT
Where T is the final temperature, T_initial is the initial temperature, and ΔT represents the change in temperature. This equation helps in understanding how temperature changes during thermal processes.
Normal Human Body Temperature ~ 37.0 °C
This value represents the average body temperature for a healthy adult, important for health assessments and fever detection.
Temperature of boiling water = 100 °C (at sea level)
This constant indicates the boiling point of water at sea level, significant for various scientific and cooking applications.
Freezing point of water = 0 °C
Defines the temperature at which water freezes, crucial for understanding phase transitions of substances.
Thermal expansion: ΔL = αL₀ΔT
Where ΔL is the change in length, α is the coefficient of linear expansion, L₀ is the original length, and ΔT is the change in temperature. This formula demonstrates the expansion of materials with temperature changes.
Room Temperature ~ 20-25 °C
Typical temperature range for indoor environments, important in various contexts like comfort and climate control.
Average human body temperature variations = ±1 °C
Acknowledges that individual body temperatures can vary slightly from the norm, which is important for understanding personal health assessments.
Equations
Ohm’s Law (analogy): V = IR
Though specific to electricity, it serves as an analogy to understand temperature dependencies in systems where voltage V (analogy to thermal energy) is proportional to current I (analogy to heat flow) under a resistance R (analogy to thermal resistance in materials).
Specific Heat Capacity: Q = mcΔT
Where Q is heat energy, m is mass, c is specific heat capacity, and ΔT is the change in temperature. This equation is key in calculating heat transfer and temperature changes in substances.
Thermal conductivity equation: Q = kA(T₁ - T₂)t/d
Where Q is the heat transfer, k is the thermal conductivity, A is the area, T₁ and T₂ are the temperatures at two points, t is time, and d is thickness. It describes how well materials conduct heat.
Heat Transfer Rate: H = kA(T_hot - T_cold)
H is the heat transfer rate, k is thermal conductivity, A is the area of heat exchange, and T_hot and T_cold are the respective temperatures. This is crucial in understanding thermal systems.
Ideal Gas Law: PV = nRT
Where P is pressure, V is volume, n is number of moles, R is the gas constant, and T is temperature in Kelvin. While mostly for gases, it shows temperature's role in physical states.
Newton's Law of Cooling: T(t) = T_env + (T_initial - T_env)e^(-kt)
This equation models how the temperature of an object changes over time in a surrounding medium at temperature T_env. Important for understanding cooling processes.
Convection: Q = hA(T_surface - T_fluid)
Where Q is heat transfer, h is the heat transfer coefficient, A is the surface area, and T_surface and T_fluid are temperatures of the surface and fluid. Essential in thermal management systems.
Phase Change: Q = mLf
Where Q is the heat absorbed or released, m is mass, and Lf is the latent heat of fusion. It is key to understanding energy changes during state changes.
Phase Change: Q = mLg
Where Q is the heat absorbed or released, m is mass, and Lg is the latent heat of vaporization. Important for understanding the energy transitions during vaporization.
Heat Exchange in Chemical Reactions: ΔH = ΣΔH_products - ΣΔH_reactants
This equation calculates the change in enthalpy (heat energy) for a reaction, essential for understanding thermal aspects of reactions.
