What's up guys! Today we will be learning about gas laws. There are 5 laws we will be learning about today. 1.Boyle's 2.Charles's 3.Gay-Lussac's 4.Avogadro's 5.Dalton's 6.Graham'sFor this demonstration I will be using balloons. I mean there is nothing more fun than balloons. . . right. . .
Gas Laws
Starting off with Boyle's Law. This is about how in gases pressure andvalue are inversely proportional IF and ONLY IF moles and temperature are constant.
This is shown by the equation P1V1=P2V2. So, the first balloon has 1 liter of gas and a pressure of 2 atm. Now, the second balloon has 1 atm. What is the volume? Well you plug in the variables to the equation to get 1L/2 atm=0.5L/x. When you solve this, you find that x=1 atm. That is it! Super easy!
1L of gas2 atm
.5L of gas1 atm
Moving to Charles's Law. This law states how if n and pressure are constant, then volume and temperature are directlyproportional.
This equation is V1/T1=V2/T2. So with the first balloon the volume is 1L and the temperature of the balloon is 72C or 345K. For the second balloon I changed the temperature to 80C or 353K. 0.5L/345K=x/353. So, thevolume would be 0.51.
.5L of gas72C or 345K
x80C or 353K
Now, moving on to Gay-Lussac. This law is about how if n and volume are constant, then pressure and temperature are directly proportional.
This equation is P1/T1=P2/T2. So with the first balloon the pressure is 2 atm, while the second is 1 atm. Then the temperature of the first balloon is 32C or 305K. So, to find the temperature of the second balloon you do 2atm/305K=1atm/x. You will find the temperature is -120.5C or 152K.
2 atm32C or 305K
1 atmx
Okay no laugh, its okay, I'm okay...
Alrighty guys, lets move on to Avogadro's. Not Avocados, Avogadro's. . . Anyway, this law deals with how if a gas is at STP, 1 mole of all gases will fill 22.4L. For this it talks about volume and particles. The more particles, the greater volume. Volume and number of moles are directly related.
The equation for this is V1/N1=V2/N2. Lets say the first balloon has 1 mole of helium and the volume is 5 liters. Now, the secondballoon is 3 liters, how many moles does the second balloon have? Well 5L/1 mole=3L/x.when you solve x=0.6 moles.
1 mole5 liters
x3 liters
Mmmk, Ideal Gas Law is next. This one has a couple more components to it. This brings other gas properties together. This adds R which is a constant also known as Ideal Gas Constant. R=0.0821 (L x atm) / (Mol x K). For this equation pressure has to be atm, volume in liters, and temperature in Kelvin.
The equation for this is PV=nRT. So, this balloons volume is 2 liters, its temperature is 72C (345K), and its pressure is 1.5 atm. So, to find moles, we do 2(1.5)=x(0.0821)(345). Now, starting to solve 3=28.3245x. So, number of moles equals 0.106.
2 liters72C (345k)1.5atmx moles
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