Divisibility Rule of 11 Take the number you want to check for divisibility by 11. Starting from the rightmost digit, multiply each digit alternatively by 1 and -1, moving from right to left. Add up all the resulting values. If the sum is divisible by 11 (including zero), then the original number is also divisible …
The divisibility rule for 7 is a helpful guideline to determine if a given number is divisible by 7 without performing long division. Here’s how the divisibility rule for 7 works: Take the number you want to check for divisibility by 7. Double the last digit of the number (the units digit) and subtract it …
Properties of numbers are fundamental characteristics and relationships that numbers possess. These properties help us understand how numbers behave and interact with one another in various mathematical operations. Here are some important properties of numbers: Commutative Property: The commutative property applies to addition and multiplication. It states that changing the order of the numbers being …
The number system is a fundamental concept in mathematics that involves the study and classification of numbers. It provides a framework for representing and manipulating numerical quantities. The number system consists of various types of numbers with unique properties and characteristics. Natural Numbers (N): Natural numbers, also known as counting numbers, are the set of …
Lachit Barphukan was a legendary military commander and a heroic figure in the history of Assam, a northeastern state in India. He played a crucial role in defending the Ahom kingdom against the Mughal forces during the seventeenth century. Lachit Borphukan’s extraordinary leadership, strategic brilliance, and unwavering commitment to his land and people make him a …
An isobaric process is a thermodynamic process in which the pressure of a system remains constant throughout the entire process. In other words, the system is maintained at a fixed pressure. Key characteristics of an isobaric process include: Constant Pressure: In an isobaric process, the pressure of the system remains unchanged. The system is typically …
An isothermal process is a thermodynamic process in which the temperature of a system remains constant throughout the entire process. In other words, the system is in thermal equilibrium with its surroundings at all times, and there is no change in temperature. Key characteristics of an isothermal process include: Constant Temperature: In an isothermal process, …
The concept of entropy in the universe is closely related to the second law of thermodynamics, which states that the entropy of an isolated system tends to increase or remain constant over time in natural processes. The second law implies that the overall entropy of the universe is constantly increasing. Entropy is a measure of …
The formula for calculating the change in entropy (∆S) of a system depends on the specific process and conditions involved. Here are some common formulas for entropy change in different scenarios: For a reversible process: ∆S = ∫(dQ / T)In this formula, ∆S represents the change in entropy, dQ is an infinitesimal amount of heat …
Enthalpy and entropy are two fundamental concepts in thermodynamics that describe different aspects of a system. Enthalpy: Enthalpy (H) is a thermodynamic property that accounts for the total heat content of a system. It combines the internal energy of the system with the product of pressure and volume. Enthalpy is particularly useful in the context …