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Formula Sheet: Nature’s Treasures

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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.

Formula and Equation Sheet

Formula sheet

Key concepts & formulas

Essential formulas, key terms, and important concepts for quick reference and revision.

Formulas

1

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.

2

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.

3

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.

4

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.

5

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.

6

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.

7

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.

8

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.

9

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.

10

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

1

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.

2

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.

3

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.

4

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.

5

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.

6

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.

7

Carbon Footprint = (Total CO₂ Emissions) / (Population)

This equation calculates the average carbon footprint per person, which is essential for understanding environmental impacts and sustainability.

8

Energy Efficiency = (Output Energy / Input Energy) × 100

This equation measures the efficiency of energy use in processes like photosynthesis and solar energy conversion.

9

Soil pH = (H⁺ Ion Concentration)

This formula determines the acidity or alkalinity of soil, important for agricultural practices and crop growth.

10

Surface Area for Rainwater = Length × Width

This equation helps to calculate the surface area for rainwater collection, facilitating better water management strategies.