Question

Identify all of the gas law equations that relate to the ideal gas law.

Answer 1

Explanation: The ideal gas law equation is $PV=nRT$

Where, P = Pressure of gas

V = Volume of gas

n = Number of moles of gas

R = Gas constant

T = Temperature of gas

• In the ideal gas equation, when 'n' and ' T' are taken constant, we see that pressure and volume follow inverse relation, which is

$P\propto \frac{1}{V}$

or

$P_1V_1=P_2V_2$          ....(1)

This law is known as Boyle's law.

• In the ideal gas equation, when 'n' and 'V' are taken constant, we see that pressure and temperature follow direct relation, which is

$P\propto T}$

or

$\frac{P_1}{T_1}=\frac{P_2}{T_2}$         ....(2)

This law is known as Gay-Lussac's Law.

• In the ideal gas equation, when 'P' and 'n' are taken constant, we see that volume and temperature follow direct relation, which is

$V\propto T}$

or

$\frac{V_1}{T_1}=\frac{V_2}{T_2}$         ....(3)

This law is known as Charles's Law.

• In the ideal gas equation, when 'P' and 'T' are taken constant, we see that volume and number of moles follow direct relation, which is

$V\propto n}$

or

$\frac{V_1}{n_1}=\frac{V_2}{n_2}$          ....(4)

This law is known as Avogadro's Law.

Equations 1, 2, 3 and 4 are the gas law equations that relate to the ideal gas law.

Answer 2

V1/T1=V2/T2
V1/n1=V2/n2
P1V1=P2V2
P1/T1=P2/T2