Ideal Gas Law
General Equations and Ideal Gas Law. The general equation of a gas is an equation that can give the relationship between pressure, volume and temperature of gas in a place. Suppose we have one tank of gas, then the pressure in the tank we call P, the volume of the tank is V, and the temperature in the tank is T.
We can adjust or change the pressure, temperature and volume. It turns out that between P, V and T have a certain connection. The equation which connects between P, V and T is named as the gas state equation. We will review the equations for ideal gas.
When the pressure in the tank we change and the temperature we keep in order not to change or the temperature is constant, it turns out the volume also changed. If we increase the pressure then the volume decreases.
If we increase the volume of the tank the pressure will decrease. So the pressure changes inversely with the volume. Robert Boyle found experimentally that:
Gas in a tank, the volume may change. At the temperature we make constant it turns out if the volume is reduced the pressure will enlarge.
This law applies almost to all gas with low density.
Read Also : Low Rate and the Equation of Continuity
If now we keep the pressure to keep, then the volume of the tank we change it if our volume increases then the temperature in the tank rose. The temperature rise is proportional to the volume. This property applies to gas of low density. Jacques Charles and Gay Lussac found that in low-density gas applicable:
PV = CT
C is the constants of comparison. T is the absolute temperature. The unit T is Kelvin, t the temperature in units of Celsius.
T = t + 273
What is the value of C? Suppose we have two containers, each container containing the same type of gas and the same amount of gas. If the two places are united then the volume will enlarge to two times. The pressure and temperature are fixed.
Thus the constant C becomes twice the original. This means C is proportional to the amount of gas, or we can write it as:
C = kN
k is the new constant, N is the number of gas molecules. The above equation can now be written into:
PV = NkT
The constant k is called Boltzmann's constant. Experimentally the value of k is:
k = 1,381 * 10-23 J / K
The state equations for low-density gases are:
PV = nNakT = nRT
R = kNa is a common gas constant, its value for all gases is R = 8.314 J / mol. K = 0.08206 L. atm / mol.K
For real gas, the value of PV / nT is very close to a constant in a large pressure range.
The ideal gas law is defined as a gas in which PV / nT is constant for all condition. So the ideal gas satisfies the equation:
PV = nRT
The value of nR in the above equation is constant so we can write:
PV/T = constant or
P1 . V1/ T1 = P2 . V2/ T2
We often read gas in standard circumstances. What does it mean by default? The standard state is a gas state at a pressure of 1 atm = 101 kPa and an absolute temperature of 273 K or 0 ° C. What is the volume of 1 mol of gas at the standard state? From the gas volume equation we can calculate the gas volume.
V = nRT/P
V = (1 mol)(0,0821 atm/mol.K (273) / 1 atm
V = 22,4 L
At the standard state any gas volume is 22.4 L.
We can adjust or change the pressure, temperature and volume. It turns out that between P, V and T have a certain connection. The equation which connects between P, V and T is named as the gas state equation. We will review the equations for ideal gas.
General Gas Equations
When the pressure in the tank we change and the temperature we keep in order not to change or the temperature is constant, it turns out the volume also changed. If we increase the pressure then the volume decreases.
If we increase the volume of the tank the pressure will decrease. So the pressure changes inversely with the volume. Robert Boyle found experimentally that:
PV = constant at constant temperature
Gas in a tank, the volume may change. At the temperature we make constant it turns out if the volume is reduced the pressure will enlarge.
This law applies almost to all gas with low density.
Read Also : Low Rate and the Equation of Continuity
If now we keep the pressure to keep, then the volume of the tank we change it if our volume increases then the temperature in the tank rose. The temperature rise is proportional to the volume. This property applies to gas of low density. Jacques Charles and Gay Lussac found that in low-density gas applicable:
PV = CT
C is the constants of comparison. T is the absolute temperature. The unit T is Kelvin, t the temperature in units of Celsius.
T = t + 273
What is the value of C? Suppose we have two containers, each container containing the same type of gas and the same amount of gas. If the two places are united then the volume will enlarge to two times. The pressure and temperature are fixed.
Thus the constant C becomes twice the original. This means C is proportional to the amount of gas, or we can write it as:
C = kN
k is the new constant, N is the number of gas molecules. The above equation can now be written into:
PV = NkT
The constant k is called Boltzmann's constant. Experimentally the value of k is:
k = 1,381 * 10-23 J / K
The state equations for low-density gases are:
PV = nNakT = nRT
R = kNa is a common gas constant, its value for all gases is R = 8.314 J / mol. K = 0.08206 L. atm / mol.K
For real gas, the value of PV / nT is very close to a constant in a large pressure range.
Ideal Gas Law
The ideal gas law is defined as a gas in which PV / nT is constant for all condition. So the ideal gas satisfies the equation:
PV = nRT
The value of nR in the above equation is constant so we can write:
PV/T = constant or
P1 . V1/ T1 = P2 . V2/ T2
We often read gas in standard circumstances. What does it mean by default? The standard state is a gas state at a pressure of 1 atm = 101 kPa and an absolute temperature of 273 K or 0 ° C. What is the volume of 1 mol of gas at the standard state? From the gas volume equation we can calculate the gas volume.
V = nRT/P
V = (1 mol)(0,0821 atm/mol.K (273) / 1 atm
V = 22,4 L
At the standard state any gas volume is 22.4 L.