Question

Four 1L samples of liquid at 293K and 1atm pressure are subjected to 1000atm of pressure in an isothermal apparatus. What is the volume of each sample after being isothermally compressed? justify using molecular arguments (bulk vs molecular properties).

(a.) benzene

(b.) water

(c.) ethanol

(d.) mercury

Answer 1

Four 1L samples of liquid at 293K and 1atm pressure are subjected to 1000atm of pressure in an isothermal apparatus, T is constant and moles of each gas is same

Moles of each gas is same = 1L/22.4L = 0.0446 moles each gas

Partial pressure of each gas is same = 1000/4 = 250 atm

Volume of   each gas is calculated by following formula

PV = nRT

P, n R and T for each gas is same, the volume of each sample after being isothermally compressed is same .Although molar mass of each sample (a.) benzene(b.) water(c.) ethanol(d.) mercury is different.