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NEET 2016
Exam
NEET
Year
2016
Subject
Chemistry
Chapter
Thermodynamics (C)

NEET 2016 · Chemistry · Thermodynamics (C)

Consider the following liquid - vapour equilibrium. Liquid ⇌ Vapour...

Consider the following liquid - vapour equilibrium.

Liquid ⇌ Vapour$

Which of the following relations is correct?

Options

  1. AdlnGdT2=∆HυRT2\dfrac{dln G}{d{T}^{2}} = \dfrac{∆ {H}_{υ}}{R{T}^{2}}
  2. BdlnPdT=−∆HυRT\dfrac{dln P}{dT} = \dfrac{- ∆ {H}_{υ}}{RT}
  3. CdlnPdT2=−∆HυT2\dfrac{dln P}{d{T}^{2}} = \dfrac{- ∆ {H}_{υ}}{{T}^{2}}
  4. DdlnPdT=∆HυRT2\dfrac{dln P}{dT} = \dfrac{∆ {H}_{υ}}{R{T}^{2}}

Correct answer

D. dlnPdT=∆HυRT2\dfrac{dln P}{dT} = \dfrac{∆ {H}_{υ}}{R{T}^{2}}

Step-by-step solution

P=Ke−∆H/RTP = K{e}^{- ∆ H / RT}

ln P=lnK−∆HRTP = ln K - \dfrac{∆ H}{RT}

ddTlnP=∆HυRT2\dfrac{d}{dT}ln P = \dfrac{∆ {H}_{υ}}{R{T}^{2}}

∴dlnPdT=∆HυRT2∴ \dfrac{dln P}{dT} = \dfrac{∆ {H}_{υ}}{R{T}^{2}}
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