Data given for the following reaction is as follows:
$\mathrm{FeO}_{(\mathrm{s})}+\mathrm{C}_{\text {(graplite) }} \longrightarrow \mathrm{Fe}_{(\mathrm{s})}+\mathrm{CO}_{(\mathrm{g})}$
The minimum temperature in K at which the reaction becomes spontaneous is ________ .
(Integer answer)
$\mathrm{T}_{\min }=\left(\frac{\Delta^{0} \mathrm{H}}{\Delta^{0} \mathrm{~S}}\right)$
$\Delta^{0} \mathrm{H}_{\mathrm{rxn}}=\left[\Delta_{\mathrm{f}}^{0} \mathrm{H}(\mathrm{Fe})+\Delta_{\mathrm{f}}^{0} \mathrm{H}(\mathrm{CO})\right]-$
$=\left[\Delta_{\mathrm{f}}^{0} \mathrm{H}(\mathrm{Fe} \mathrm{O})+\Delta_{\mathrm{f}}^{0} \mathrm{H}\left(\mathrm{C}_{\text {(graphite) }}\right)\right]$
$=[0-110.5]-[-266.3+0]$
$=155.8 \mathrm{~kJ} / \mathrm{mol}$
$\Delta^{0} \mathrm{~S}_{\mathrm{rxn}}=\left[\Delta^{0} \mathrm{~S}(\mathrm{Fe})+\Delta^{0} \mathrm{~S}(\mathrm{CO})\right]-$
$\left[\Delta^{0} \mathrm{~S}(\mathrm{Fe} \mathrm{O})+\Delta^{0} \mathrm{~S}\left(\mathrm{C}_{\text {(graphite) }}\right)\right]$
$=[27.28+197.6]-[57.49+5.74]$
$=161.65 \mathrm{~J} / \mathrm{mol}-\mathrm{K}$
$\mathrm{T}_{\min }=\frac{155.8 \times 10^{3} \mathrm{~J} / \mathrm{mol}}{161.65 \mathrm{~J} / \mathrm{mol}-\mathrm{K}}=963.8 \mathrm{~K}$
$\simeq 964 \mathrm{k}$ (nearest integer)
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All Study Material
- JEE Main
- Exam Pattern
- Previous Year Papers
- PYQ Chapterwise
- Physics
- Kinematics 1D
- Kinemetics 2D
- Friction
- Work, Power, Energy
- Centre of Mass and Collision
- Rotational Dynamics
- Gravitation
- Calorimetry
- Elasticity
- Thermal Expansion
- Heat Transfer
- Kinetic Theory of Gases
- Thermodynamics
- Simple Harmonic Motion
- Wave on String
- Sound waves
- Fluid Mechanics
- Electrostatics
- Current Electricity
- Capacitor
- Magnetism and Matter
- Electromagnetic Induction
- Atomic Structure
- Dual Nature of Matter
- Nuclear Physics
- Radioactivity
- Semiconductors
- Communication System
- Error in Measurement & instruments
- Alternating Current
- Electromagnetic Waves
- Wave Optics
- X-Rays
- All Subjects
- Physics
- Motion in a Plane
- Law of Motion
- Work, Energy and Power
- Systems of Particles and Rotational Motion
- Gravitation
- Mechanical Properties of Solids
- Mechanical Properties of Fluids
- Thermal Properties of matter
- Thermodynamics
- Kinetic Theory
- Oscillations
- Waves
- Electric Charge and Fields
- Electrostatic Potential and Capacitance
- Current Electricity
- Thermoelectric Effects of Electric Current
- Heating Effects of Electric Current
- Moving Charges and Magnetism
- Magnetism and Matter
- Electromagnetic Induction
- Alternating Current
- Electromagnetic Wave
- Ray Optics and Optical Instruments
- Wave Optics
- Dual Nature of Radiation and Matter
- Atoms
- Nuclei
- Semiconductor Electronics: Materials, Devices and Simple Circuits.
- Chemical Effects of Electric Current,