Boyle showed that the volume of a sample of a gas is inversely proportional to its pressure (Boyle’s law), Charles and Gay-Lussac demonstrated that the volume of a gas is directly proportional to its temperature (in kelvins) at constant pressure (Charles’s law), and Avogadro postulated that the volume of a gas is …

These laws are often put together to create the combined gas law where the unused variables are considered constant and drop out of the equation. Boyle’s law states that pressure (P) and volume (V) are inversely proportional. Charles’ law states that volume (V) and temperature (T) are directly proportional.

The law itself can be stated as follows: for a fixed amount of an ideal gas kept at a fixed temperature, P (pressure) and V (volume) are inversely proportional—that is, when one doubles, the other is reduced by half.

This empirical relation, formulated by the physicist Robert Boyle in 1662, states that the pressure (p) of a given quantity of gas varies inversely with its volume (v) at constant temperature; i.e., in equation form, pv = k, a constant. …

According to Boyle’s Law, an inverse relationship exists between pressure and volume. The relationship for Boyle’s Law can be expressed as follows: P1V1 = P2V2, where P1 and V1 are the initial pressure and volume values, and P2 and V2 are the values of the pressure and volume of the gas after change.

Diphosphorus

Gay-Lussac’s Law or Third Gas Law states that for a constant volume, the pressure is directly proportional to absolute temperature: P alpha T; also stated as P/T = K, where K is a constant, and similarly, P1/T1 = P2/T2.

The pressure of a given amount of gas is directly proportional to the temperature at a given volume. When the temperature of a system goes up, the pressure also goes up, and vice versa. The relationship between pressure and temperature of a gas is stated by the Gay-Lussac’s law.

Gas. The atoms and molecules in gases are much more spread out than in solids or liquids. They vibrate and move freely at high speeds. Gas can be compressed much more easily than a liquid or solid.

The atoms, ions, or molecules that make up the solid or liquid are very close together. There is no space between the individual particles, so they cannot pack together. Gases are compressible because most of the volume of a gas is composed of the large amounts of empty space between the gas particles.

LiquidsEdit Because the particles can move, liquids don’t have a definite shape, and they can flow. Because the particles are still packed close together, liquids can’t easily be compressed and keep the same volume.

During compression, the volume (V) of a gas decreases. When this happens, the pressure (P) of the gas increases if the number of moles (n) of gas remains constant. If you keep the pressure constant, reducing the temperature (T) also causes the gas to compress.

If you compress a gas adiabatically (without allowing heat to enter or leave) you are doing Work on the gas. That increases its internal energy. The temperature is a measure of the internal energy (kinetic energy of the molecules for an ideal gas). Thus, compression increases temperature.

At constant temperature, gas in compressed. Means volume in which gas is moving decreased and pressure increases according to Boyle’s law. Now, there is low space of move and there collusion occurs when they are moving.

As the gas is compressed, the work done on it shows up as increased internal energy, which must be transferred to the surroundings to keep the temperature constant. At constant temperature, the gas law becomes P∝V−1; Adiabatic: No heat is transferred between the gas and its surroundings as it is compressed / does work.

Option C is correct.

This means that the average force exerted by the gas particles on the container walls increases and therefore the gas exerts a greater pressure. So when the volume of a gas at a constant temperature is decreased (by reducing the container’s volume), then the pressure of the gas increases.