When any gas is heated at constant pressure, its change in volume varies directly with change in absolute temperature. This law is known as ________.

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SSC JE Mechanical 11 Oct 2023 Shift 2 Official Paper-I
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  1. Joule's law
  2. Avogadro's law
  3. Boyle's law
  4. Charles' law

Answer (Detailed Solution Below)

Option 4 : Charles' law
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Explanation:

 A perfect gas is also an Ideal gas, which follows the Ideal gas equation of states i.e. PV = mRT at all temperatures.

A real gas behaves as an Ideal gas at low pressure and very high temperature.  Air is a perfect gas.

Gases that obey the gas laws (Charles law, Boyles law, and Universal Gas Law) are called ideal gases.

Boyle’s, Charles’, and Gay Lussac's Laws describe the basic behavior of fluids with respect to volume, pressure, and temperature.

Gay Lussac’s Law

It states that at constant volume, the pressure of a fixed amount of a gas varies directly with temperature.

P ∝ T

\(\frac{P}{T} = Const\)

Boyle's Law

For a fixed mass of gas at constant temperature, the volume is inversely proportional to the pressure.

\(P \propto \frac{1}{V}\)

PV = constant (If the temperature remains constant, the product of pressure and volume of a given mass of a gas is constant.)

Charles' Law

For a fixed mass of gas at constant pressure, the volume is directly proportional to the Kelvin temperature.

\(V\propto T \ or \ \frac{V}{T} = Const\)

 

The Combined gas law or General Gas Equation is obtained by combining Boyle's Law, Charles's law, and Gay-Lussac's Law.

It shows the relationship between the pressure, volume, and temperature for a fixed mass (quantity) of gas:

\(\frac{P_{1}V_{1}}{T_{1}} = \frac{P_{2}V_{2}}{T_{2}}\)

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