Engine Operational
GATE CH 2020 (with Solutions).pdf

Q57

FAILNATpage 33holdREVIEW_LOW_CONFIDENCEP2UNREVIEWED
type=NAT · page=33–34 · marks=2 · content_conf=0.7999999999999999 · math_conf=0.778

Original PDF33

Loading original page…

Source / evidence

file: GATE CH 2020 (with Solutions).pdf
pages: 3334

No clips linked

Extracted57 / 67

An aqueous suspension at 600C60^0 C is fed to the first effect of a double effect forward feed evaporator with a mass flow rate of 1.25 kgs1.⁻¹. The sum of the rates of water evaporated from the first and second effects is 1.0 kgs1.⁻¹. Temperatures of the exit streams from the first and the second effects are1000C100^0 C and 600C,60 ⁰ C, respectively. Consider the specific heat of the aqueous suspension, and the latent heat of phase change for water to be 4 kJ kg1K1⁻¹ K^{ - 1} and 2200 kJ kg1,⁻¹, respectively, over this temperature range. The steam economy (in kg per kg) is____(round off to 2 decimal places).

Options

none

Answer

1.7774

Solution

V1=xV2=1xV_1 = xV_2 = 1-x
m/&=/frac1.25kgsm/\& = /frac{1.25kg}{s}
..
SteadF/m/S
L1L2L_1L^2
TF=600C,T1=1000C,T2=600CT_F = 60^0C,T₁=100⁰ C,T₂=60⁰ C
..
..
F=L1+V1F = L_1+V_1
1.25=L1+xL1=/frac(1.25x)kgs1.25 = L_1+x ⇒ L_1 = /frac{(1.25-x)kg}{s}
Energy balance on I^sᵗ stage
FCp(T1TF)+V1/lambdav=S/lambdasFC_p(T_1-T_F)+V_1/lambda{}_v = S/lambda{}_s
1.25(4/times103)(10060)+x(2200/times103)=S(2200/times103)1.25(4 /times 10^3)(100-60)+x(2200 /times 10^3) = S(2200 /times 10^3)
200000+2200000x=2200000S200000+2200000x = 2200000S
11x11S+1=011x-11S+1 = 0
11x=1+11S(i)11x = −1+11S…(i)
Energy balance on II stage
L1CP(T2T1)+V2/lambdav=V1/lambdasL_1CP(T_2-T_1)+V_2/lambda{}_v = V_1/lambda{}_s
(1.25x)(4)(60100)+(1x)(2200)=x(2200)(1.25-x)(4)(60-100)+(1-x)(2200) = x(2200)
4240x =2000
x=/frac0.4716kgsx = /frac{0.4716kg}{s}
On substituting this value in equation (i)
11(0.4716)=1+11S11(0.4716) = −1+11S
S=0.5626kgsS = 0.5626kgs
..
Economy of =1.7774

Why review

Category: REVIEW_LOW_CONFIDENCE · Priority: P2 · Disposition: extraction_defect

Extractor validation_status=low_confidence.

Suggested action: compare_pdf_and_extracted

Human review

state=UNREVIEWED · resolution= · trust=UNRESOLVED · WAVE-12 priority=P2
Review actions

Writes a viewer overlay only. Never converts verification REVIEW into automatic PASS.

No overlay recorded yet.

Provenance status

Source PDF: GATE CH 2020 (with Solutions).pdf
SegmentPageBBoxAssetEquationLink
stem33noneREVIEW
stem33noneREVIEW
stem33noneREVIEW
stem33noneREVIEW
stem33noneREVIEW
stem33noneREVIEW
stem33noneREVIEW
solution33noneREVIEW
solution33noneREVIEW
solution33noneREVIEW
solution33noneREVIEW
solution33noneREVIEW
solution33noneREVIEW
solution33noneREVIEW
solution33noneREVIEW
solution33noneREVIEW
solution33noneREVIEW
solution33noneREVIEW
solution33noneREVIEW
solution33noneREVIEW
solution33noneREVIEW
solution33noneREVIEW
solution33noneREVIEW
solution33noneREVIEW
solution33noneREVIEW
solution33noneREVIEW
solution33noneREVIEW
Equations:none

Dimensions

  • structurePASS
  • question_textFAIL
  • optionsPASS
  • answerPASS
  • solutionPASS
  • mathPASS
  • cross_entityPASS

Issues

  • operator_set_changed_raw_vs_derived