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Thermodynamics — Laws of Heat, Energy & Ideal Gas Notes

Master the first and second laws of thermodynamics, heat capacity equations ($Q = mc\Delta T$), heat transfer methods, and the ideal gas law ($PV=nRT$) with study notes, formulas, and practice MCQs.

Thermodynamics Study Notes

1. Temperature, Heat, and Specific Heat Capacity

Temperature measures the average kinetic energy of particles. Heat (Q) is energy transferred due to a temperature difference. The energy needed to change the temperature of a substance: Q = mcΔT, where m is mass (kg), c is specific heat capacity (J/kg·K), and ΔT is temperature change (K).

Water has c = 4,186 J/kg·K — one of the highest of any common substance, which is why it is used in cooling systems.

2. The Four Laws of Thermodynamics

Zeroth Law: If body A is in thermal equilibrium with B, and B with C, then A is in equilibrium with C. This defines temperature as a measurable quantity.

First Law: Energy is conserved. ΔU = Q − W, where ΔU is the change in internal energy, Q is heat added to the system, and W is work done by the system.

Second Law: Heat never spontaneously flows from a cold body to a hot body. Entropy (ΔS = Q/T) of an isolated system always increases or stays constant. No heat engine is 100% efficient.

Third Law: Absolute zero (0 K = −273.15°C) cannot be reached in a finite number of steps.

3. Ideal Gas Law

PV = nRT, where P = pressure (Pa), V = volume (m³), n = moles, R = 8.314 J/(mol·K), T = temperature in Kelvin. For a fixed amount of gas: P&sub1;V&sub1;/T&sub1; = P&sub2;V&sub2;/T&sub2;. Special cases: Boyle Law (constant T: PV = constant), Charles Law (constant P: V ∝ T), Gay-Lussac Law (constant V: P ∝ T).

Thermodynamics Formula Sheet & Heat Equations

 Essential specific heat capacity formulas, first law equations, and ideal gas constants for exam revision.

Specific Heat

Q = mcΔT

Heat = mass × specific heat × temperature change

Unit: J (Joules)

First Law

ΔU = Q − W

Change in internal energy = heat in − work out

Unit: J (Joules)

Ideal Gas

PV = nRT

Pressure × volume = moles × R × temperature

Unit: Pa·m³

Efficiency

η = W/Q⊂H;

Work output / heat input (always < 1)

Unit: fraction

Entropy

ΔS = Q/T

Change in entropy at constant temperature

Unit: J/K

Boyle's Law

P1V1 = P2V2

At constant temperature, PV = constant

Unit: dimensionless

Frequently Asked Questions About Thermodynamics

Clear answers to key questions about the laws of thermodynamics, specific heat capacity of water, and ideal gas law calculations.

Zeroth Law defines thermal equilibrium and temperature. First Law is conservation of energy (ΔU = Q − W). Second Law states entropy always increases in an isolated system. Third Law states absolute zero is unattainable.

Specific heat capacity (c) is the energy required to raise 1 kg of a substance by 1 Kelvin: Q = mcΔT. Water has c = 4,186 J/kg·K, making it effective for heat storage and cooling systems.

The First Law means energy cannot be created or destroyed, only transferred. Any energy added to a system as heat either increases internal energy or is converted to work done by the system.

PV = nRT relates pressure (Pa), volume (m3), amount (moles), gas constant R = 8.314, and absolute temperature (Kelvin). It models the behavior of low-density gases accurately.

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