Which of the following laws states that - Pressure of given amount of a gas at constant volume is directly proportional to its absolute temperature?
- AOption (a)
Charles’ law
- BOption (b)
Boyle’s law
- COption (c)
Gay Lussac’s law
- DOption (d)
Avogadros’ law
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Correct answer
Gay Lussac’s law
Why this answer is correct
The correct answer is Gay Lussac’s law.
Key Points
- Gay Lussac’s Law states that the pressure of a given mass of gas at constant volume is directly proportional to its absolute temperature (Kelvin scale).
- The mathematical expression for Gay Lussac's law is P ∝ T, or P = kT, where P is the pressure, T is the temperature, and k is a proportionality constant.
- This law applies only when the volume of the gas is kept constant during the process.
- Gay Lussac’s law is an important principle in thermodynamics and is used in understanding the behavior of gases under varying temperature conditions.
- This principle is widely used in practical applications such as pressure cookers, gas-filled containers, and laboratory experiments involving gases.
Additional Information
- Charles’ Law:
- Charles’ law states that the volume of a gas is directly proportional to its absolute temperature when the pressure is held constant.
- The equation for Charles' Law is V ∝ T, or V = kT, where V is the volume and T is the absolute temperature.
- It explains phenomena such as the expansion of air balloons with heat.
- Boyle’s Law:
- Boyle’s law states that the pressure of a gas is inversely proportional to its volume when temperature remains constant.
- Its equation is P ∝ 1/V, or PV = k, where P is pressure and V is volume.
- It is used to describe the compression and expansion of gases.
- Avogadro’s Law:
- Avogadro’s law states that equal volumes of gases, at the same temperature and pressure, contain an equal number of molecules.
- The equation is V ∝ n, where V is the volume and n is the number of moles of gas.
- This law is fundamental in stoichiometry and determining molecular weights.
- Applications of Gay Lussac’s Law:
- Used in the design of pressure cookers, where an increase in temperature leads to higher pressure.
- Helps in understanding pressurized gas cylinders and their behavior under varying temperature conditions.
- Useful in meteorological studies to understand atmospheric pressure changes with temperature.
Important Points
- Joseph Louis Gay-Lussac formulated this law in 1809, contributing significantly to the study of thermodynamics.
- This law assumes that the gas behaves ideally and that external factors such as gravitational forces are negligible.
- Real gases may deviate from this law under extreme pressure or temperature conditions.
- Understanding this law is essential for industries working with gases, such as chemical manufacturing and aerospace engineering.
- For safety reasons, this law is crucial in ensuring that pressurized containers are not exposed to excessively high temperatures.