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 …
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 …
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 …
The zeroth law of thermodynamics establishes the concept of temperature and thermal equilibrium. It serves as a foundation for temperature measurements and the construction of temperature scales. The zeroth law can be stated as follows: “If two systems are each in thermal equilibrium with a third system, then they are in thermal equilibrium with each …
The third law of thermodynamics is a fundamental principle in thermodynamics that deals with the behavior of a system as it approaches absolute zero temperature, which is 0 Kelvin or -273.15 degrees Celsius. It establishes a connection between the behavior of a system at absolute zero and its entropy. The third law can be stated …
The second law of thermodynamics is a fundamental principle in thermodynamics that describes the directionality and irreversibility of natural processes. It introduces the concept of entropy and provides insights into the limitations and constraints on energy transformations and the behavior of systems. The second law can be stated in various ways, but the most common …