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22 February, 01:23

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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  1. 22 February, 01:56
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    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
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