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Q40

REVIEWMCQpage 17holdmath reviewREVIEW_MATH_COMPLEXP2UNREVIEWED
type=MCQ · page=17–19 · marks=2 · content_conf=0.7999999999999999 · math_conf=0.483

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Source / evidence

file: GATE CH 2020 (with Solutions).pdf
pages: 17–19
assets/questions/Q040/residual_9acdd741b0b3.png

Extracted40 / 67

SO₂ from air is absorbed by pure water in a counter current packed column operating at constant pressure. The compositions and the flow rates of the streams are shown in the figure. flow rate of pure water2 kmols¹
[VISUAL / REVIEW — NO INVENTED LATEX]Source math clip[VISUAL / REVIEW — NO INVENTED LATEX]Source math clip
In addition, use the following data and assumptions • Column operates under isothermal conditions
•/textAt/textthe/textoperating/texttemperature/textof/textthe/textcolumn,y∗=40xwherey∗isthemolefractionofSO2atamolefractionofx• /text{At} /text{the} /text{operating} /text{temperature} /text{of} /text{the} /text{column} , y*=40 x where y* is the mole fraction of SO₂ at a mole fraction of x
• Solution is dilute and the operating line is linear • Negligible amount of water evaporates The number of transfer units (NTU) for this column is

Options

  1. A.
    0.5
  2. B.
    1.0
  3. C.
    1.5
  4. D.
    2.0

Answer

D

Solution

Assume operating line are linear Relation is given as Y *=40 x Solution is dilute and no water evaporation
A2=/fracLMGA_2 = /frac{L}{MG}
A=/frac2(40/times.05)A = /frac{2}{(40 /times .05)}
A=1A = 1
N/mathrmTOG=/frac(Y1−Y2)(Y2−MX2)=/frac(.015−.005)(.005−0)=2N_{/mathrm{TOG}} = /frac{(Y_1-Y_2)}{(Y_2-MX_2)} = /frac{(.015-.005)}{(.005-0)} = 2
Hence, the correct options is (D).

Why review

Category: REVIEW_MATH_COMPLEX · Priority: P2 · Disposition: legitimate_uncertain

Complex layout math with partial LaTeX still marked REVIEW_REQUIRED.

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state=UNREVIEWED · resolution=— · trust=UNRESOLVED · WAVE-12 priority=P2
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Math review evidence

stem · REVIEW_REQUIRED · visual_fallback
Source clip
source clip
page=17 bbox=[36,466.94,169.33,480.27]
asset=assets/questions/Q040/residual_9acdd741b0b3.png
Raw text
SO₂air/O₂0.005 mole fraction ofS total flow of(SO₂aSO2water
Current normalized
[VISUAL / REVIEW — NO INVENTED LATEX]
method=text_first_visual_fallback
Resolver / candidate
[VISUAL / REVIEW — NO INVENTED LATEX]
status=REVIEW
reason=fraction_bar_ambiguous
Reason for review: Complex layout math with partial LaTeX still marked REVIEW_REQUIRED.
stem · REVIEW_REQUIRED · visual_fallback
Source clip
source clip
page=17 bbox=[36,466.94,169.33,480.27]
asset=assets/questions/Q040/residual_9acdd741b0b3.png
Raw text
ir)0.05 kmols¹/nofSO₂0.005 mole fractio
Current normalized
[VISUAL / REVIEW — NO INVENTED LATEX]
method=text_first_visual_fallback
Resolver / candidate
[VISUAL / REVIEW — NO INVENTED LATEX]
status=REVIEW
reason=fraction_bar_ambiguous
Reason for review: Complex layout math with partial LaTeX still marked REVIEW_REQUIRED.

Provenance status

Source PDF: GATE CH 2020 (with Solutions).pdf
SegmentPageBBoxAssetEquationLink
stem17[36,466.94,169.33,480.27]assets/questions/Q040/residual_9acdd741b0b3.pngsource—PASS
stem17[36,466.94,169.33,480.27]assets/questions/Q040/residual_9acdd741b0b3.pngsource—PASS
stem17——none—REVIEW
solution17——none—REVIEW
solution17——none—REVIEW
solution17——none—REVIEW
solution17——none—REVIEW
Equations:none

Dimensions

  • structurePASS
  • question_textPASS
  • optionsPASS
  • answerPASS
  • solutionPASS
  • mathREVIEW
  • cross_entityPASS

Issues

  • stem_math_review_required