The pressure on 6 m3 of benzene at 20 C is increased by 18 M

The pressure on 6 m3 of benzene at 20 C is increased by 18 MPa. Estimate the expected change in the volume of benzene.

Solution

We know that benzene molecular weight (W) = 78.11 g/mol = 0.07811

we know that P1V1 = nRT1

let mass m = 1 kg

n = m/W

n = 12.80

Gas constant for Benzene = 0.1 kJ/kg.K

T1= 20 oC = 293 K

P1 =( 12.80*293*0.1*1000)/6

= 62.51 kPa

Given P2 = 18 MPa = 18000 kPa

we know that P1V1 = P2V2

V2 = (62.51*6)/18000

= 0.0208 m^3