Show that pv=nrt has the same unit with energy​

The unit of the equation P·V = n·R·T is the Joules which is the same as the unit of energy

Explanation:

The unit of energy is Joules, with symbol J

The given equation for an ideal gas is P·V = n·R·T

Where;

P = The pressure of the gas with units Pascals, Pa

V = The volume of the gas, with units m³

n = The number of moles with unit moles

R = The universal gas constant = 8.314 J/(mol·K)

T = The temperature, with units, Kelvin, K

Therefore, we get;

P·V has unit 1 Pa × 1 m³ = 1 N/m² × 1 m³ = 1 N·m = 1 Joule

Similarly, we get

n·R·T with units n mole × 8.314 J/(mol·K) × 1 K = 8.314·n Joules

Therefore, P·V = n·R·T, has the unit of Joules which is the same unit with energy.