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GATE ME 2021 Official Paper: Shift 1

CT 1: Ratio and Proportion

2846

10 Questions
16 Marks
30 Mins

__Concept: __

For triple point in P-T curve, pressure will be equivalent both for liquid – vapour and solid-vapour line.

__Calculation: __

**Given: **

\({\rm{Liquid\;vapour}},{\rm{\;\;}}\ln P = 24.38 - \frac{{3063}}{T}\)

\({\rm{Solid\;vapour}},{\rm{\;\;}}\ln P = 27.92 - \frac{{3754}}{T}\)

At triple point temperature of solid, liquid and vapour is same

∴ Equating

\(24.38 - \frac{{3063}}{T} = 27.92 - \frac{{3754}}{T}\)

**Now,**

Multiplying by ‘T’ on both sides

24.38 T – 3063 = 27.292 T – 3754

3.54 T = 691

**T = 195.197 K**