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The molar heat capacities at constant pressure (assumed constant with respect to temperature) of A, B and C are in ratio 3 : 1.5 : 2.0. The enthalpy change for the exothermic reaction $A + 2 B ⟶ 3 C$ at 300 K and 310 K is $Δ H_{300}$ and $Δ H_{310}$ respectively then:

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$Δ H_{300} > Δ H_{310}$

$Δ H_{300} < Δ H_{310}$

$Δ H_{300} = Δ H_{310}$

if $T_{2} > T_{1}$ then $Δ H_{310} > Δ H_{300}$ and if $T_{2} < T_{1}$ then $Δ H_{310} < Δ H_{300}$

answer is C.

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Detailed Solution

$Δ_{r} C_{P} = 6 a - 3 a - 3 a = 0 \Rightarrow Δ H_{300} = Δ H_{310}$

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