Charles Law Formula Examples (All New)

Charles Law (Constant Pressure) is one of the three special cases of Ideal Gas Law; the other two are Boyle’s Law (Constant Temperature) and Gay-Lussac’s Law (Constant Volume).

When Charles’s gas law formula is substituted with Boyle’s Law and Gay-Lussac’s Law, develops into Combined Gas Law; further combined with Avogadro’s Law yields Ideal Gas Law.

 

Charles Law Formula

When the pressure of a gas is held constant, the temperature of the gas will be directly proportional to the volume of the sample gas.

charles-law-graph
temperature increases so do volume at constant pressure/Credit: Wikimedia Commons

This phenomenon was discovered by a French scientist, inventor, and mathematician Jacques Charles; that is why this gas law bears his name.

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Mathematically, Charles Law Formula is expressed as:
 
 
{displaystyle Vpropto T}
 
or
 
charles-law-formula
 
where,
 
V = volume of the gas
T = temperature of the gas (in kelvins)
k = constant

 

Let us compare the same substance under two different conditions, then Charles gas law formula can be stated as:

{displaystyle {frac {V_{1}}{T_{1}}}={frac {V_{2}}{T_{2}}}qquad {text{or}}qquad {frac {V_{2}}{V_{1}}}={frac {T_{2}}{T_{1}}}qquad {text{or}}qquad V_{1}T_{2}=V_{2}T_{1}.}
where, 
V1 = initial volume
T1= initial absolute temperature
V2 = final volume
T2 = final absolute temperature

 

The above Charles’ law formula shows that “the temperature of the gas is directly proportional to the volume of the sample gas.

 

Charles Law Examples

Well, examples of Charles Law can be classified into two categories such as Mathematical Examples Of Charles Law and Charles Law Examples in Real Life. Let us see both of them one by one…!!!

 

Mathematical Examples Of Charles Law

1. A gas occupies 300 cm3 at a temperature of 0 °C and pressure of 670 mm Hg. What will its volume be at 100 °C?

ANS:- As we know, according to Charles law equation,

{displaystyle {frac {V_{1}}{T_{1}}}={frac {V_{2}}{T_{2}}}qquad {text{or}}qquad {frac {V_{2}}{V_{1}}}={frac {T_{2}}{T_{1}}}qquad {text{or}}qquad V_{1}T_{2}=V_{2}T_{1}.}
 
where,
 
V1 = 300 cm3 
T1 = 273K (0 + 273)
T2 = 373K (100 + 273)
 
now putting all the values in the above equation we get,
 
300 x 373 = V2 x 273
 
on solving,
final volume V2 = 409.89 cm3 

 

2. When 450 mL of lithium gas is heated from 20 °C to 80 °C at constant pressure. what will be the final volume of lithium gas at  80 °C?

ANS = as we know, according to Charles law equation:-
 
 
 
{displaystyle {frac {V_{1}}{T_{1}}}={frac {V_{2}}{T_{2}}}qquad {text{or}}qquad {frac {V_{2}}{V_{1}}}={frac {T_{2}}{T_{1}}}qquad {text{or}}qquad V_{1}T_{2}=V_{2}T_{1}.}
 
where,
 
V1 = 450 mL
T1 = 293K (20 + 273)
T2 = 353K (80 + 273)
 
now putting all the values in the above equation we get,
 
450 x 353 = V2 x 293
 
on solving,
final volume V2 = 542.15 mL

 

Charles Law Examples In Real Life

If you think, you can’t relate day to day life situations with Charles’s Law, You Are Wrong. Well, here is your chance to think again!!

In fact, there are several examples of Charles Law In Real Life which is easy to understand or even you can do experiments related to them. Let’s discuss a few of them one by one.

Pop Up Turkey Timer

pop-up-turkey-timer-charles-law-example
pop-up turkey timer works on Charles’s law/Credit: Huffington Post

Pop-Up Turkey Timer (Thermometer) working is based on Charles’s Law. As Charles’s Law states, ” gas tends to expand when heated”, the same phenomenon works for Pop Up Turkey Timer.

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The thermometer is well placed inside the turkey. As the turkey cooks, the gas inside the thermometer expands with an increase in temperature. The thermometer pops off, indicating that the turkey is cooked and ready to serve.

Deodorant Spray Bottle

deodorant-spray-charles-law-example
Do not expose to direct sunlight/Credit: Amazon.in

As of today’s world, we all are well aware of the fact that what are deodorants? And why they are being used? I also wonder that many of us also get a chance to read the instruction written as a warning sign such as a ” pressurized container.

Protect it from sunlight. Do not expose to temperature exceeding 50°C.” Ever thought why? Well yes, you guess is right. It’s because of Charles’s Law.

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According to Charles law Definition, “under high temperature, the gas molecules inside the deodorant bottle expand and which can lead to the bursting of the deodorant bottle”.

Helium Balloon on Cold Day

Helium-balloons-charles-law-example
Helium balloon shrinks during colder days/Credit: Balloonacy

Everyone is quite aware of what Helium Balloon is. We all remember that during our childhood days when we step outside our home with a helium balloon on the chilly days (winter season of course).

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The balloon will shrink a bit due to the degree of coldness or decrease in temperature. It happens because of Charle’s Law; as it states “when the temperature decreases so do the volume will.”

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I am a mechanical engineer by profession. Just because of my love for fundamental physics, I switched my carrier, and therefore I just completed my postgraduate degree in physics. Right now I am a loner (as like ever) and a Physics blogger too. My sole future goal is to do a Ph.D. in theoretical physics, especially in the field of cosmology. Because in my view, every part of physics comes within the range of cosmology. And I love traveling, especially the Sole one.

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