Question

Calculate the temperature of 4.0 mol of a gas occupying 5 dm3 at 3.32 bar. (R = 0.083 bar dm3 K –1 mol–1 ). 

Answer 1

Given,

Amount of the gas ,n = 4.0 mol

Volume of the gas ,V = 5 dm³

Pressure of the gas,p = 3.32 bar

R = 0.083 bar dm³ K^–1 mol^–1

From the ideal gas equation, we get

pV = nRT

⇒ T = pV / nR

      = (3.32x5) /  (4x0.083)

      = 50K

Hence, the required temperature is 50 K.

Answer 2

Given,n=4.0 mol

V=5dm³

p=3.32 bar

R = 0.083 bar dm³K^–1mol^–1

The temperature (T) can be calculated using the ideal gas equation as:

Hence, the required temperature is 50 K.