At 20°C the vapor pressure of dry ice is 56.5 atm. If 10g of dry ice (solid CO2) is placed in an evacuated 0.25 L chamber at a constant 20°C, will all of the solid sublime?

Question

Rohan Sharp

Chemistry

9 October, 12:42

At 20°C the vapor pressure of dry ice is 56.5 atm. If 10g of dry ice (solid CO2) is placed in an evacuated 0.25 L chamber at a constant 20°C, will all of the solid sublime?

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Answers (1)

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Kyler Dorsey · Answer 1

All the solid CO2 (dry ice) will sublime

Explanation:

PV = nRT

Where P = pressure

V = volume

n = number of moles

R = universal gas constant

T = temperature

Given values.

P = 56.5_atm = 5.72_MPa

V = 0.25_L

n = Unknown

R = 8.31451_j / (gmol*K)

T = (273.15 + 20) = 293.15_K

Thus, n, from the above equation = (P*V) : (R*T)

= 1431.216 : 2437.399: = 0.587_moles

Molar mass of CO2 = 44_g

Number of moles in 10_g of CO2 = 10/44 = 0.23 moles

0.23 moles < 0.587_moles hence the volume has capacity for 0.36_moles of CO2 more

All the solid CO2 (dry ice) will sublime