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The vapor pressures (in torr) of solid and liquid chlorine are given by ln ( P s ) = 24.320 − 3777 K T ln ( P l ) = 17.892 − 2669 K T where T is the absolute temperature. Calculate the temperature and pressure at the triple point of chlorine.

User Cyclone
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1 Answer

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Answer:


T=172.37\ K


P_s=11.1095\ Pa

Step-by-step explanation:

Triple point is that temperature and pressure for a substance at which the chemical substance coexists in liquid, solid and gaseous state with mutual equilibrium.

  • At this point the equilibrium vapor pressure of solid, liquid and gas phases are mutually equal.

Given expressions of vapor pressure:


ln (P_s)=24.320 -(3777  K)/(T) ........................................(1)


ln (P_l)=17.892 -(2669 K)/(T) ..........................................(2)

Equating the vapor pressure of two phases of chlorine:


24.320 -(3777  K)/(T)=17.892 -(2669 K)/(T)


T=172.37\ K

The vapor pressure at this temperature:


ln (P_s)=24.320 -(3777 )/(172.37)


P_s=11.1095\ Pa

User Patrick Szalapski
by
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