The following pairs of properties as
P and T
V and n
T and V
P and n
P and V
Further explanation
Some of the laws regarding gas, can apply to ideal gas (volume expansion does not occur when the gas is heated), among others
- Boyle's law at constant T, P = 1 / V
- Charles's law, at constant P, V = T
- Avogadro's law, at constant P and T, V = n
So that the three laws can be combined into a single gas equation, the ideal gas equation
In general, the gas equation can be written
\(\large{\boxed{\bold{PV=nRT}}}\)
where
P = pressure, atm
V = volume, liter
n = number of moles
R = gas constant = 0.082 l.atm / mol K
T = temperature, Kelvin
Proportional Comparisons / Directly proportional are comparisons of two or more numbers where one number increases, the other numbers also increase at the same rate
Can be formulated
\(\displaystyle \frac {x1} {y1} = \frac {x2} {y2}\)
Inversely proportional is the comparison of two or more numbers where one number increases, the other number decreases in value
Can be formulated
\(\displaystyle \frac {x1} {y2} = \frac {x2} {y1}\)
The following pairs of properties as directly or inversely proportional.(from ideal gas equation)
P and T : directly proportional
PV=nRT
V and n : directly proportional
PV=nRT
T and V : directly proportional
PV=nRT
P and V : inversely proportional
\(\displaystyle \bold{P}=\frac{nRT}{\bold{V}}\)
P and n : directly proportional
PV=nRT
Learn more
Which equation agrees with the ideal gas law
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Keywords : ideal gas law, directly proportional, inversely proportional.
