How does pressure change with temperature?

Question

Please explain.

Answer 1

Gay Lussac's Law states that for a gas of fixed volume pressure varies proportionally with temperature:

P=kT

where k is a constant.

Answer 2

Well, it might depend on volume as well, depending on the situation. The thermodynamics formula of the ideal gas law is PV=nRT. P is pressure, V is volume, n is number of moles of gas, R is the gas constant (varies for different units of pressure), and T is the temperature. There are different variations of this equation, and they are made by rearranging the variables to one side, and constants to another.

If the system is isothermic, which means the temp stays the same, then P will change inverse to the change in V or vice versa. This is because n and R are constants in an isolated system, and if T stays the same, then PV = a constant. Ex: if pressure increased by 3 times, then volume would drop to 1/3 it original volume.
This is Boyle's Law, where P1*V1= P2*V2 =constant of nRT

If the system is isochoric, the volume is constant. Thus pressure varies in direct proportion to temp. Ex: If tempt increases by 3x, then pressure increases by 3x. This is Gay-Lussac's Law.
P1 / T1 = P2 / T2 = constant of nR/V

There are two other people's law that do not directly relate to pressure and temp changes are. They are Avagadro's and Charles's Laws. Charles's Law is V1/T1 = V2/T2

All these can be summarized in the grand formula of ideal gases (The name has slipped my mind right now). By rearranging PV=nRT one gets:

(PV) / (nT) = R the gas constant.

In a before and after problem which involves change in one or more variables, the equation is simply duplicated.

(P1 * V1) / (n1 * T1) = (P2 * V2) / (n2 * T2) = R

Much of the time, n (the number of moles of the gas) is constant and is sometimes stated as P1V1/T1 = P2V2/T2 = R

Answer 3

standard equation of state formula is:

pV = nRT

p = pressure
V = volume
n = number of moles
R = a constant
T = temperature

Therefore, if all other variables remain constant, then it is a direct relationship between pressure and temperature. That is, as pressure increases, so must temperature to balance the equation.

Answer 4

Imagine a closed tank filled with air. The molecules of Nitrogen and Oxygen and water vapour bounce around inside the tank, creating pressure.

If you put the tank on a flame and heat the contents, the molecules will get more and more active, the molecules moving faster and faster. When they slam into the side of the tank, they will do so with more and more energy, which we call increased pressure.

Answer 5

PV = nRT in a *sealed* *rigid* container.