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JEE Mains · Chemistry · STD 11 - 5. Thermodynamics and thermochemistry

For complete combustion of ethene. \(C _2 H _4( g )+3 O _2( g ) \rightarrow 2 CO _2( g )+2 H _2 O ( l )\) the amount of heat produced as measured in bomb calorimeter is \(1406\,kJ\,mol { }^{-1}\) at \(300\,K\). The minimum value of \(T \Delta S\) needed to reach equilibrium is \((-).......\,kJ\). (Nearest integer) Given : \(R =8.3\,JK ^{-1} mol ^{-1}\)

  1. A \(1411\)
  2. B \(1412\)
  3. C \(1413\)
  4. D \(1414\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(1411\)

Step-by-step Solution

Detailed explanation

\(C _2 H _{4( g )}+3 O _{2( g )} \longrightarrow 2 CO _{2( g )}+2 H _2 O_{(l)}\) \(\Delta U =-1406\,KJ\,mol ^{-1}, T =300\,K\) \(\Delta H =\Delta U +\Delta n _{ g } RT\) \(\Delta H =-1406+(-2) \times 8.3 \times 300=-1406-4.98\) \(=-1410.98\,KJ\,mol ^{-1} \approx-1411\)…
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