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In industries titanium is hardened through diffusion of carbon. The concentration of carbon at 1mm into the surface of the titanium slab is 0.25kg/m3 and at 3mm the concentration is 0.68kg/m3. The rate at which the carbon is entering into its surface is 1.27*10-9kg/m2.s. calculate the value of diffusion coefficient of carbon.
- a)5.91*10-12
- b)5.91*10-10
- c)5.91*10-11
- d)5.91*10-13
Correct answer is option 'A'. Can you explain this answer?
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In industries titanium is hardened through diffusion of carbon. The co...
Explanation: J=-D(∂C/∂x)
∂C/∂x= Δc/Δx=(0.25-0.68)/(0.003-0.001)=-215kg/m4
1.27*10-19kg/m2.s= -D*(-215kg/m4)
D=5.91*10-12m2/s.
∂C/∂x= Δc/Δx=(0.25-0.68)/(0.003-0.001)=-215kg/m4
1.27*10-19kg/m2.s= -D*(-215kg/m4)
D=5.91*10-12m2/s.
Most Upvoted Answer
In industries titanium is hardened through diffusion of carbon. The co...
Given Data:
Concentration at 1mm, c1 = 0.25 kg/m³
Concentration at 3mm, c2 = 0.68 kg/m³
Rate of carbon entering surface, J = 1.27 × 10⁻⁹ kg/m²s
To find: Diffusion coefficient of carbon, D
Formula: Fick's second law of diffusion
∂c/∂t = D(∂²c/∂x²)
Where,
c = Concentration of carbon
t = Time
x = Distance
D = Diffusion coefficient
CALCULATION:
Let's consider the concentration gradient, ∆c = c2 - c1 = 0.68 - 0.25 = 0.43 kg/m³
Let's consider the distance, ∆x = 3mm - 1mm = 2mm = 0.002m
Let's consider the time, ∆t = 1s
From Fick's second law of diffusion,
J = -D(∆c/∆x)
Substituting the given values,
1.27 × 10⁻⁹ = -D(0.43/0.002)
D = -1.27 × 10⁻⁹ / (0.43/0.002)
D = 5.91 × 10⁻¹² m²/s
Therefore, the diffusion coefficient of carbon is 5.91 × 10⁻¹² m²/s.
ANSWER: Option (A) 5.91 × 10⁻¹²
Concentration at 1mm, c1 = 0.25 kg/m³
Concentration at 3mm, c2 = 0.68 kg/m³
Rate of carbon entering surface, J = 1.27 × 10⁻⁹ kg/m²s
To find: Diffusion coefficient of carbon, D
Formula: Fick's second law of diffusion
∂c/∂t = D(∂²c/∂x²)
Where,
c = Concentration of carbon
t = Time
x = Distance
D = Diffusion coefficient
CALCULATION:
Let's consider the concentration gradient, ∆c = c2 - c1 = 0.68 - 0.25 = 0.43 kg/m³
Let's consider the distance, ∆x = 3mm - 1mm = 2mm = 0.002m
Let's consider the time, ∆t = 1s
From Fick's second law of diffusion,
J = -D(∆c/∆x)
Substituting the given values,
1.27 × 10⁻⁹ = -D(0.43/0.002)
D = -1.27 × 10⁻⁹ / (0.43/0.002)
D = 5.91 × 10⁻¹² m²/s
Therefore, the diffusion coefficient of carbon is 5.91 × 10⁻¹² m²/s.
ANSWER: Option (A) 5.91 × 10⁻¹²
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In industries titanium is hardened through diffusion of carbon. The concentration of carbon at 1mm into the surface of the titanium slab is 0.25kg/m3and at 3mm the concentration is 0.68kg/m3. The rate at which the carbon is entering into its surface is 1.27*10-9kg/m2.s. calculate the value of diffusion coefficient of carbon.a)5.91*10-12b)5.91*10-10c)5.91*10-11d)5.91*10-13Correct answer is option 'A'. Can you explain this answer?
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In industries titanium is hardened through diffusion of carbon. The concentration of carbon at 1mm into the surface of the titanium slab is 0.25kg/m3and at 3mm the concentration is 0.68kg/m3. The rate at which the carbon is entering into its surface is 1.27*10-9kg/m2.s. calculate the value of diffusion coefficient of carbon.a)5.91*10-12b)5.91*10-10c)5.91*10-11d)5.91*10-13Correct answer is option 'A'. Can you explain this answer? for Chemical Engineering 2024 is part of Chemical Engineering preparation. The Question and answers have been prepared according to the Chemical Engineering exam syllabus. Information about In industries titanium is hardened through diffusion of carbon. The concentration of carbon at 1mm into the surface of the titanium slab is 0.25kg/m3and at 3mm the concentration is 0.68kg/m3. The rate at which the carbon is entering into its surface is 1.27*10-9kg/m2.s. calculate the value of diffusion coefficient of carbon.a)5.91*10-12b)5.91*10-10c)5.91*10-11d)5.91*10-13Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Chemical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In industries titanium is hardened through diffusion of carbon. The concentration of carbon at 1mm into the surface of the titanium slab is 0.25kg/m3and at 3mm the concentration is 0.68kg/m3. The rate at which the carbon is entering into its surface is 1.27*10-9kg/m2.s. calculate the value of diffusion coefficient of carbon.a)5.91*10-12b)5.91*10-10c)5.91*10-11d)5.91*10-13Correct answer is option 'A'. Can you explain this answer?.
In industries titanium is hardened through diffusion of carbon. The concentration of carbon at 1mm into the surface of the titanium slab is 0.25kg/m3and at 3mm the concentration is 0.68kg/m3. The rate at which the carbon is entering into its surface is 1.27*10-9kg/m2.s. calculate the value of diffusion coefficient of carbon.a)5.91*10-12b)5.91*10-10c)5.91*10-11d)5.91*10-13Correct answer is option 'A'. Can you explain this answer? for Chemical Engineering 2024 is part of Chemical Engineering preparation. The Question and answers have been prepared according to the Chemical Engineering exam syllabus. Information about In industries titanium is hardened through diffusion of carbon. The concentration of carbon at 1mm into the surface of the titanium slab is 0.25kg/m3and at 3mm the concentration is 0.68kg/m3. The rate at which the carbon is entering into its surface is 1.27*10-9kg/m2.s. calculate the value of diffusion coefficient of carbon.a)5.91*10-12b)5.91*10-10c)5.91*10-11d)5.91*10-13Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Chemical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In industries titanium is hardened through diffusion of carbon. The concentration of carbon at 1mm into the surface of the titanium slab is 0.25kg/m3and at 3mm the concentration is 0.68kg/m3. The rate at which the carbon is entering into its surface is 1.27*10-9kg/m2.s. calculate the value of diffusion coefficient of carbon.a)5.91*10-12b)5.91*10-10c)5.91*10-11d)5.91*10-13Correct answer is option 'A'. Can you explain this answer?.
Solutions for In industries titanium is hardened through diffusion of carbon. The concentration of carbon at 1mm into the surface of the titanium slab is 0.25kg/m3and at 3mm the concentration is 0.68kg/m3. The rate at which the carbon is entering into its surface is 1.27*10-9kg/m2.s. calculate the value of diffusion coefficient of carbon.a)5.91*10-12b)5.91*10-10c)5.91*10-11d)5.91*10-13Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Chemical Engineering.
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