Can you derive the ideal gas equation?

Question

Can you derive the ideal gas equation?

Answer 1

NOPE

Answer 2

for an ideal gas equation you have to know boyle's law

Boyle's law states that pressure and volume are inversely proportional to each other;

P α 1/V

therefore, PV = constant.

Charles's law states that volume and temperature are directly proportional to each other;

V α T

therefore, (V/T) = constant.

Avogadro's principle states that volume and number of moles (n) are directly proportional to each other;

V α n

therefore, (V/n) = constant.

Combining these three equations, we get

PV / nT = constant

*The gas constant is R; therefore,

PV / nT = R

We can rewrite the equation to this form:

PV = nRT

where n is no. of moles

r is gas constant

p is pressure

v is volume

t is temperature

Answer 3

Yes, I can.

The ideal gas equation is just the combination of three gas laws - Boyle's law, Charles's law, and Avogadro's principle.

Boyle's law states that pressure and volume are inversely proportional to each other;

P α 1/V  

therefore, PV = constant.

Charles's law states that volume and temperature are directly proportional to each other;

V α T  

therefore, (V/T) = constant.

Avogadro's principle states that volume and number of moles (n) are directly proportional to each other;

V α n  

therefore, (V/n) = constant.

Combining these three equations, we get

PV / nT = constant

*The gas constant is R; therefore,

PV / nT = R

We can rewrite the equation to this form:

PV = nRT

(And voila! The Ideal Gas Equation! Yey Ü)

Answer 4

The ideal gas equation is just the combination of three gas laws - Boyle's law, Charles's law, and Avogadro's principle.

Boyle's law states that pressure and volume are inversely proportional to each other;

P α 1/V

therefore, PV = constant.

Charles's law states that volume and temperature are directly proportional to each other;

V α T

therefore, (V/T) = constant.

Avogadro's principle states that volume and number of moles (n) are directly proportional to each other;

V α n

therefore, (V/n) = constant.

Combining these three equations, we get

PV / nT = constant

P =The gas constant is R; therefore,

PV / nT = R

We can rewrite the equation to this form:

PV = nRT

Answer 5

from boyle's law v is inversely.propotional to p at const.temp.

from charle's law v is direct.proportional to t at const.p.

therefore

v <1/p (t)

v=r(1/p)(t)

=rt/p

theere fore pv=rt.i.e r=pv/t

where r is the universal gas constant  of proportionality.

Answer 6

FROM CHALE'S LAW

    PRESSURE(P) IS INVERSLY PROPOTIONAL TO VOLUME(V).

FROM BOYLE'S LAW

    P IS PROPOTIONAL TO TEMPERATURE(T).

FROM AVOGADRO'S LAW

    V IS PROPOTIONAL TO NO OF MOLES(n).

COMBINING ALL THESE

    P=A CONSTANT(nT)/V

LET THIS CONSTANT BE R,UNIVERSAL GAS ONSTNT.

  PV=nRT

    

Answer 7

Sahil has explained it very well