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Thermodynamics question

2025 · 23 Jan · Shift 1 · Q14
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  5. /2025 · 23 Jan · Shift 1 · Q14

Thermodynamics question

2025 · 23 Jan · Shift 1 · Q14

JEE MainChemistryThermodynamicsMCQ+4 / −1
Ice at −5∘C-5^{\circ} \mathrm{C}−5∘C is heated to become vapor with temperature of 110∘C110^{\circ} \mathrm{C}110∘C at atmospheric pressure. The entropy change associated with this process can be obtained from
  1. A
    ∫268 K273 KCp,mdT+ΔHm, fusion Tf+ΔHm, vaporisation Tb+∫273 K373 KCp,mdT+∫373 K383 KCp,mdT\int_{268 \mathrm{~K}}^{273 \mathrm{~K}} \mathrm{C}_{\mathrm{p}, \mathrm{m}} \mathrm{dT}+\frac{\Delta \mathrm{H}_{\mathrm{m}} \text {, fusion }}{\mathrm{T}_{\mathrm{f}}}+\frac{\Delta \mathrm{H}_{\mathrm{m}, \text { vaporisation }}}{\mathrm{T}_{\mathrm{b}}}+\int_{273 \mathrm{~K}}^{373 \mathrm{~K}} \mathrm{C}_{\mathrm{p}, \mathrm{m}} \mathrm{dT}+\int_{373 \mathrm{~K}}^{383 \mathrm{~K}} \mathrm{C}_{\mathrm{p}, \mathrm{m}} \mathrm{dT}∫268 K273 K​Cp,m​dT+Tf​ΔHm​, fusion ​+Tb​ΔHm, vaporisation ​​+∫273 K373 K​Cp,m​dT+∫373 K383 K​Cp,m​dT
  2. B
    ∫268 K383 KCpdT+ΔHmelting 273+ΔHboiling 373\int_{268 \mathrm{~K}}^{383 \mathrm{~K}} \mathrm{C}_{\mathrm{p}} \mathrm{dT}+\frac{\Delta \mathrm{H}_{\text {melting }}}{273}+\frac{\Delta \mathrm{H}_{\text {boiling }}}{373}∫268 K383 K​Cp​dT+273ΔHmelting ​​+373ΔHboiling ​​
  3. C
    ∫268 K383 KCpdT+qrev T\int_{268 \mathrm{~K}}^{383 \mathrm{~K}} \mathrm{C}_{\mathrm{p}} \mathrm{dT}+\frac{\mathrm{q}_{\text {rev }}}{\mathrm{T}}∫268 K383 K​Cp​dT+Tqrev ​​
  4. D
    ∫268 K273 KCp,mTdT+ΔHm, fusion Tf+ΔHm, vaporisation 373 K Tb+∫273 KCp,mdTT+∫373 K383 KCp,mdTT\int_{268 \mathrm{~K}}^{273 \mathrm{~K}} \frac{\mathrm{C}_{\mathrm{p}, \mathrm{m}}}{\mathrm{T}} \mathrm{dT}+\frac{\Delta \mathrm{H}_{\mathrm{m}}, \text { fusion }}{\mathrm{T}_{\mathrm{f}}}+\frac{\Delta \mathrm{H}_{\mathrm{m}, \text { vaporisation }}^{373 \mathrm{~K}}}{\mathrm{~T}_{\mathrm{b}}}+\int_{273 \mathrm{~K}} \frac{\mathrm{C}_{\mathrm{p}, \mathrm{m}} \mathrm{dT}}{T}+\int_{373 \mathrm{~K}}^{383 \mathrm{~K}} \frac{\mathrm{C}_{\mathrm{p}, \mathrm{m}} \mathrm{dT}}{\mathrm{T}}∫268 K273 K​TCp,m​​dT+Tf​ΔHm​, fusion ​+ Tb​ΔHm, vaporisation 373 K​​+∫273 K​TCp,m​dT​+∫373 K383 K​TCp,m​dT​
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