Nature’s Treasures – 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 Nature’s Treasures 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
Composition of Air: N₂ (78%) + O₂ (21%) + Others (1%)
This formula represents the composition of air, highlighting the major gases present. Nitrogen (N₂) is significant for its abundance, while oxygen (O₂) is essential for respiration.
Percentage = (Part / Whole) × 100
This formula calculates the percentage, which denotes the ratio of a part to the whole multiplied by 100. It's crucial for understanding mixtures, like air composition.
Water Cycle: Evaporation → Condensation → Precipitation
This sequence represents the water cycle, showing how water moves in different states (liquid, vapor, solid) in nature. Understanding this is essential for discussions on weather and water resources.
Energy Transfer: Sunlight → Plants → Animals
This illustrates how energy from the Sun is converted by plants through photosynthesis and then transferred to animals when they consume plants, highlighting the food chain.
Rainwater Harvesting: Collected Water = Rainfall × Area
This formula estimates the volume of water collected via rainwater harvesting by multiplying the rainfall amount by the surface area of collection. This concept emphasizes water conservation.
Soil Formation: Weathering + Organic Matter
This process describes how soil is formed from the weathering of rocks combined with organic material from decomposed plants and animals, critical for agriculture and ecology.
Fossil Fuel Formation: Organic Matter + Heat + Pressure
This formula explains how fossil fuels are formed over millions of years from organic matter subjected to heat and pressure. This knowledge is vital for discussions about energy sources.
Wind Energy: Kinetic Energy = 0.5 × m × v²
This formula calculates kinetic energy of wind, where m is the mass of the air and v is the velocity of the wind. This concept is foundational for understanding wind energy utilization.
Solar Energy: Power = Energy / Time
This relationship helps to calculate solar power generation by dividing energy produced by the time taken. Important for understanding solar panel efficiency.
Water Usage Efficiency: Efficiency = (Useful Water / Total Water) × 100
This formula quantifies water usage efficiency, highlighting the importance of conserving water in daily activities and agricultural practices.
Equations
Ohm’s Law: V = IR
V represents voltage (volts), I is current (amperes), and R is resistance (ohms). This equation defines the relationship between these three electrical components.
Photosynthesis: 6CO₂ + 6H₂O → C₆H₁₂O₆ + 6O₂
This balanced equation shows that carbon dioxide and water, under sunlight, produce glucose and oxygen, a key process for plant food production.
Air Pressure: P = F / A
Where P is pressure, F is the force applied, and A is the area. This formula is essential for understanding how wind and air interact in different environments.
Work Done: W = F × d
Here, W is work done, F is force applied, and d is the distance moved in the direction of force. This is a basic formula in physics relevant to many processes in nature.
Concentration = (Amount of Solute / Total Volume) × 100
This equation calculates the concentration of a substance in a solution, vital for discussions involving water quality and environmental science.
Renewable Energy Ratio = (Renewable Energy Used / Total Energy Used) × 100
This ratio indicates the portion of energy sourced from renewable resources, significant for evaluating sustainable practices.
Carbon Footprint = (Total CO₂ Emissions) / (Population)
This equation calculates the average carbon footprint per person, which is essential for understanding environmental impacts and sustainability.
Energy Efficiency = (Output Energy / Input Energy) × 100
This equation measures the efficiency of energy use in processes like photosynthesis and solar energy conversion.
Soil pH = (H⁺ Ion Concentration)
This formula determines the acidity or alkalinity of soil, important for agricultural practices and crop growth.
Surface Area for Rainwater = Length × Width
This equation helps to calculate the surface area for rainwater collection, facilitating better water management strategies.
