If, Y = k_1[ 1 - exp ( k_2 xk_3x ) ], where k1, k2 and k3 are constants. If k2ΔX < ΔX, the value of γ up to first order of approximation would be

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Metallurgical Thermodynamics and Kinetics

If, $$Y = {k_1}\left[ {1 - \exp \left( {\frac{{{k_2}\Delta x}}{{{k_3}x}}} \right)} \right],$$ where k₁, k₂ and k₃ are constants. If k₂ΔX < ΔX, the value of γ u_p to first order of approximation would be

A) $$Y = {k_1}\left[ {1 - \frac{{{k_2}\Delta x}}{{{k_3}x}}} \right]$$ B) $$Y = {k_1}\left[ {1 + \frac{{{k_2}\Delta x}}{{{k_3}x}}} \right]$$ C) $$Y = {k_1}1 - \frac{{{k_2}\Delta x}}{{{k_3}x}}$$ D) $$Y = - {k_1}1\frac{{{k_2}\Delta x}}{{{k_3}x}}$$

Answer & Solution

Correct Answer: Option C

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If, $$Y = {k_1}\left[ {1 - \exp \left( {\frac{{{k_2}\Delta x}}{{{k_3}x}}} \right)} \right],$$ where k1, k2 and k3 are constants. If k2ΔX < ΔX, the value of γ up to first order of approximation would be

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If, $$Y = {k_1}\left[ {1 - \exp \left( {\frac{{{k_2}\Delta x}}{{{k_3}x}}} \right)} \right],$$ where k₁, k₂ and k₃ are constants. If k₂ΔX < ΔX, the value of γ u_p to first order of approximation would be