Question

Dry ice is solid CO2 that can be used in the production or conservation of ice cream, in the carbonization of water or other liquids such as beer. Calculate the volume of CO2 at 20 ° C and 82 kPa that will be produced by the sublimation of 0.5 kg of dry ice.

Answer 1

dry ice is frozen CO2

Molar mass of CO2,

MM = 1*MM(C) + 2*MM(O)

= 1*12.01 + 2*16.0

= 44.01 g/mol

mass(CO2)= 500 g

use:

number of mol of CO2,

n = mass of CO2/molar mass of CO2

=(5*10^2 g)/(44.01 g/mol)

= 11.36 mol

Given:

P= 82.0 kPa

= (82.0*1000) pa

= 82000.0 Pa

= 82000.0 Pa

= (82000.0/101325) atm

= 0.8093 atm

n = 11.3611 mol

T = 20.0 oC

= (20.0+273) K

= 293 K

use:

P * V = n*R*T

0.8093 atm * V = 11.3611 mol* 0.08206 atm.L/mol.K * 293 K

V = 337.5 L

Answer: 3.4*10^2 L