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= . P 1 V 1. P 2 V 2. n 1 T 1. n 2 T 2. The General Gas Equation Combined Gas Law. Ideal Gas Equation. nT. V  . P. Combining the Gas Laws: The Ideal Gas Equation is derived using the Ideal Gas Constant. Boyle’s law V  1/P Charles’s law V  T Avogadro’s law V  n. nT.

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combining the gas laws the ideal gas equation is derived using the ideal gas constant

nT

V 

P

Combining the Gas Laws: The Ideal Gas Equation is derived using the Ideal Gas Constant
  • Boyle’s law V  1/P
  • Charles’s law V  T
  • Avogadro’s law V  n

nT

V = R

P

PV = nRT

the gas constant

PV

R=

nT

= 0.08206 L atm/mol K

The Gas Constant

PV = nRT

= 1.207 L psi / mol K

= 8.314 Pa m3 / mol K

= 8.314 J/mol K

= 62.36 L Torr/ mol K

the general gas equation

=

P1V1

P2V2

n1T1

n2T2

The General Gas Equation

R=

slide6

Example

A 5.0 L cylinder contains oxygen gas at 20.0°C and 735 mm Hg. How many grams of oxygen are in the cylinder?

Catalog Variables

P = 735 mmHg

V = 5.0 L

n = # moles O2

R = 0.08206 L atm / mol K

T = 20 °C

slide7

Example

Convert Units

V = 5.0 L

n = # moles O2

R = 0.08206 L atm / mol K

T = 20 °C + 273 = 293 K

Solve Equation

= 0.201 mol O2

molar mass determination

m

n =

and

MM

m

RT

PV =

MM

Molar Mass Determination

PV = nRT

m

RT

m

RT

MM =

MM =

PV

PV

P MM

dRT

d=

MM =

RT

P