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$PV=nRT$

Ideal gas Law Formula is the equation of the state of an ideal Gas. An Ideal Gas is the gas which strictly follow this formula.The ideal gas is a hypothetical gas. All real gas approximately follow ideal gas at low pressure and high temperature.At low pressure and High tempertaure , volume of molecules become neglibible as comparison to volume of the gas and chances of interaction between the molecules also become less. Ideal Gas law formula is given as

$PV=nRT$

P -> Pressure of the Gas

V -> Volume of the Gas

n -> Number of the moles of the gas

T -> Temperature of the Gas

R -> Universal gas constant (R= 8.314 Joule/Mole -kelvin)

1 Pa = 1 N/m

1 atm = 101325 Pa

1 bar =10

1 atm = 760 mm Hg.

1 Litre = .001 m

1 Litre =1000 cm

An 1 mole Ideal gas has pressure 8.314 N/m

Given, P=8.314 N/m

Ideal Gas law formula is given as

$PV=nRT$

Rearranging to find temperature

$T = \frac {PV}{nR}$

$T = \frac { 8.314 \times 20}{1 \times 8.314} =20 \ K$

An 2 mole Ideal gas has volume 300 m

Given, P=?, V=30 m

Ideal Gas law formula is given as

$PV=nRT$

Rearranging to find Pressure

$P = \frac {nRT}{V}$

$P = \frac {2 \times 8.314 \times 300}{30}= 16.628 \ N/m^2$

Calculate the pressure of 0.508 moles of a gas in a 15.0-L container at 30 degrees Celsius.

Given, P=?, V=15 L = 15 * .001 =.015 m

Rearranging to find Pressure

$P = \frac {nRT}{V}$

$P = \frac {.508 \times 8.314 \times 303}{.001}= 85315 \ N/m^ = .84 atm$

A 0.99 mol sample of ideal gas is collected at a pressure of 357 mm of Hg and a temperature of 17.0 ° C .Find the volume of the sample (in L).

Given, P=357 mm of Hg =.469 atm= 47,596 N/m

$PV=nRT$

Rearranging to find Volume

$V= \frac {nRT}{P}$

$V= \frac { .99 \times 8.314 \times 290}{47596} = .05 \ m^3= = 50 L$

1. If Pressure,Temperature and Moles are given, Volume can be found using

$V= \frac {nRT}{P}$

2. If Volume,Temperature and Moles are given, Pressure can be found using

$P= \frac {nRT}{V}$

3. If Volume,Temperature and Pressure are given, Moles can be found using

$n = \frac {PV}{RT}$

4. If Volume,moles and Pressure are given, Temperature can be found using

$T = \frac {PV}{nR}$

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