At what temperature will 0.554 moles of helium gas occupy 11.30 liters at 1.95 atmospheres? Also, what are the 4 gas laws, and what relationships do the represent?

This is what we're given:

P (pressure), which is 1.95 atm

V(volume), which is 11.30 L.

n(number of moles), which is 0.554 moles of helium gas.

We have to find T, or temperature. To do this, we'll need to use the Ideal Gas Law, which is:

Rearranging this equation to get temperature on one side, we get:\\

Boyle’s Law (PV law)

a. Volume of a GIVEN MASS OF GAS (mass is fixed) is inversely proportional to the Absolute pressure of the gas at constant Temperature.

b. Absolute pressure means pressure that is measured relative to Vacuum. Vacuum = 0 pressure. Thus, absolute pressure is measured relative to absolute 0.

c. Another way : PV = Constant. Thus, if you measure the Pressure and Volume at 3 different times, then P1 V1 = P2 V2 = P3 V3. In order to keep the product as a constant, whenever Pressure increases, the Volume will decrease.

Charle’s Law (VT Law)

a. Volume of a GIVEN MASS OF GAS (mass is fixed) is directly proportional to the Absolute Temperature at constant pressure.

b. When you measure the Temperature of a body on a scale in which 0 corresponds to Absolute 0, then the measured temperature is Absolute Temperature. Put simply, this refers to the Kelvin scale.

c. Absolute 0 is the temperature at which objects are at their lowest possible energy (Since Temperature is a measurement of the Kinetic energy of the atoms).

Gay Lussac Law (PT Law)

a. Pressure of a GIVEN AMOUNT OF MASS (mass is fixed) at constant volume is directly proportional to the absolute Temperature (that is, Kelvin Temperature).

b. Another way : P / T = Constant. P1 / T1 = P2 / T2 = P3 / T3.

Avogadro’s law (Vn law)

a. All the above laws were talking about relationships at fixed mass. So we needed a law which would relate mass with other quantities. This is Avogadro’s law.

b. It is a very straight forward law, if the amount of gas in a Container increases (that is, if the amount of matter increases), then the Volume of the gas increases which is very straight forward.

c. Volume is directly proportional to n (number of moles) or V/n = Constant.

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