Gay-Lussac's law
PV /T = nR where n is the number of moles of gas and R is the ideal gas constant. if the amount of gas is constant, pressure and volume are inversely related (because they are multiplied) and that product is directly related to the kelvin temperature. Remove any one and the same analysis is true. Ex: if temperature is constant, remove it from the problem and you still PV, a product so pressure and volume are inversely related.
They are not the same, but related. From Wikipedia (article "gas constant"): " [The gas constant] is equivalent to the Boltzmann constant, but expressed in units of energy (i.e. the pressure-volume product) per temperature increment per mole (rather than energy per temperature increment per particle)".
The Loschmidt constant, NL is related to Avogadro's number, NA by the relationship:NL = p0*NA/(R*T0) wherep0 is the pressureT0 is the thermodynamic temperature andR is the gas constant.
Kelvin has the advantage that it is an absolute temperature scale - it starts from absolute zero. This simplifies several calculations; for example, in an ideal gas, at constant pressure, the volume of the gas is proportional to the absolute temperature. Similarly, calculations related to heat machines are simpler if an absolute temperature scale is used.
According to the ideal gas law, pressure times volume is constant. We'll call that constant c. PV=C, P=c/V, so pressure is inversely related to volume, so it would look like the graph y=1/x multiplied by a constant.
At constant pressure the temperature and the volume of a gas are directly related; this the Charle Law.
Temperature is not directly tied to volume, its related to pressure. Increasing the temperature will increase the pressure--only if volume is held constant. That is were volume and temperature are related, through pressure. However, if you increase the volume it does not change the temperature.
Charles
The pressure and volume are related because both are variable of indefinite which means that both are not positive or definite and they tend to vary by the object they are in.
As temperature increases, the volume of air also increases because the molecules in the air gain kinetic energy and move further apart. This relationship is described by the ideal gas law, which states that pressure and volume are directly proportional to temperature when the amount of gas and pressure are constant.
In the ideal gas law equation p RT, pressure (p), density (), temperature (T), and the gas constant (R) are related. Pressure is directly proportional to density and temperature, and inversely proportional to the gas constant. This means that as pressure or temperature increases, density also increases, while the gas constant remains constant.
If the temperature of a system is increased, but the volume remains constant, the pressure will increase. If Pressure is increased, then temperature will increase. They are directly proportional, as shown by the combined gas law equation, (V1P1)/T1=V2P2/T2
In a closed system, pressure and temperature are directly related. As temperature increases, pressure also increases, and vice versa. This is known as the ideal gas law, which states that pressure and temperature are proportional when volume and amount of gas are constant.
In a closed system, temperature and pressure are directly related. As temperature increases, the pressure also increases, and vice versa. This relationship is described by the ideal gas law, which states that pressure is proportional to temperature when volume and amount of gas are constant.
Pressure, volume, and temperature of gases are related by Boyle's Law, Charles's Law, and Gay-Lussac's Law. Boyle's Law states that at constant temperature, the pressure of a gas is inversely proportional to its volume. Charles's Law states that at constant pressure, the volume of a gas is directly proportional to its temperature. Gay-Lussac's Law states that at constant volume, the pressure of a gas is directly proportional to its temperature. These relationships can be combined into the Ideal Gas Law: PV = nRT, where P is pressure, V is volume, T is temperature, n is the amount of substance, and R is the gas constant.
According to Boyle's Law, as the volume of a gas decreases, the pressure increases, and vice versa. This is because the relationship between pressure and volume is inversely proportional when the temperature is held constant.
The absolute temperature of a gas is directly proportional to its volume when pressure is constant, according to Charles's Law. This means that as temperature increases, the volume of the gas will also increase, and vice versa.