For a dilute solution having molality m of a given solute in a solvent of molar mass M, b.pt. Tb and heat of vaporisation per mole ΔH;[∂Tb∂m]m→0 is equal to :
A
molal elevation constant of solvent
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B
RT2bMΔvapH, where M in Kg mol−1;ΔvapH and R in Jmol−1
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C
RTbMΔvapS, where M in Kg mol−1;ΔvapS and R in Jmol−1
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D
RT2bM1000ΔvapH, where M in Kg mol−1;R and ΔvapH and R in Jmol−1 expressed in same unit of heat
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Solution
The correct options are ART2bMΔvapH, where M in Kg mol−1;ΔvapH and R in Jmol−1 B molal elevation constant of solvent CRTbMΔvapS, where M in Kg mol−1;ΔvapS and R in Jmol−1 DRT2bM1000ΔvapH, where M in Kg mol−1;R and ΔvapH and R in Jmol−1 expressed in same unit of heat All options are correct. Molal boiling point elevation constant or ebullioscopic constant of the solvent, is defined as the elevation in boiling point which may theoretically be produced by dissolving one mole of any solute in 1000 g of the solvent.