Question

The ideal gas law shows us how a gas will behave under many conditions. The formula is:

P V = n R T
Where P = pressure, V = volume, n = amount of the substance, R = ideal gas constant, and T = temperature.
If I am given the pressure, volume, the ideal gas constant, and temperature, which shows how I would solve for the amount of the substance?

Answer 1

n = PV/RT

Step-by-step explanation:

In given question it is stated that ideal gas equation is

PV = nRT

P = pressure

V = volume

n = number of moles

R = ideal gas constant

T = temperature

If we are given with temperature, pressure, volume, and ideal gas constant values we can find the number of moles of given gas by rearranging the given formula.

PV = nRT

n = PV/RT

For example:

T = 273K

V = 4 L

P = 1 atm

R = 0.0821 atm.L/mol.K

n = ?

Formula:

PV = nRT

n = PV/RT

n = 1 atm × 4 L / 0.0821 atm.L/mol.K × 273 K

n = 4 atm.L / 22.413 atm.L/mol

n = 0.178 mol