What do the symbols in the gas equation represent?

AI Thread Summary
The symbols in the gas equation represent specific physical quantities: P for pressure, V for volume, T for temperature, R for the gas constant, and n for the number of moles. These symbols are indeed correct and are classified as variables. The discussion highlights Boyle's Law, which states that P multiplied by V remains constant at a constant temperature, and Charles's Law, which indicates that volume is proportional to temperature at constant pressure. The ideal gas law encompasses both of these laws, serving as a generalization for gas behavior. Understanding these concepts is essential for grasping the relationships between the properties of gases.
ArcHorizon
Messages
3
Reaction score
1
Homework Statement
So, I was looking at this unit called 'Modelling a gas'. This unit showed me this equation called the 'Ideal Gas Law Equation'. They didn't really explain about the equation, so I was curious about what the initials stood for. I can't really believe what my friend explained to me, so I decided to post it on the forum and ask for the details about this equation. Such as what the initials mean, and how this equation got formed.
Relevant Equations
The Ideal Gas Law Equation
246143

This was the equation that they showed me.
I thought P was for pressure, V for Volume, T for Temperature, R for Gas Constant, and n for the number of moles.
Was I correct for the initials?
 
Physics news on Phys.org
Yes. What is it that you don't understand or can't believe?

Have you heard of Boyle's Law and Charles's Law? (Google them if not.) These are laws discovered experimentally (they are strictly true for ideal gases, but true to a good approximation for real gases).
Boyle: P*V is constant at constant temperature.
Charles: V ∝ T at constant pressure.
The ideal gas law is a generalisation which, as you can see if you examine it, includes both Boyle's and Charles's laws.

R is called "the gas constant" because it was originally used as the proportionality constant in this equation, but in fact it is a fundamental constant relating energy and temperature, and as such crops up throughout physics - that's why, for example, the "gas constant" R occurs in expressions for the heat capacity of solids.
 
  • Like
Likes berkeman and ArcHorizon
Incidentally, the letters p, V, n, R and T are called "symbols" which stand for "variables". Your identification of symbols with variables was correct.
 
TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
Thread 'Variable mass system : water sprayed into a moving container'
Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...

Similar threads

Back
Top