GATE XE format:nat PYQs & Answers — Page 52

Questions 511–520 of 668. Imported answers require independent review unless marked reviewed.

Topic practice 668 questionsPage 52 of 67

A shallow-bed horizontal belt type solvent extractor is operating on 0.3 mm thick soybean flakes with 0.5 m bed depth and a forward speed of 0.8 m min⁻¹ with miscella flux rate of 0.25 m min⁻¹. If porosity of the flakes is 60%, the distance between washing nozzle and miscella collecting receptacle (cm) is ____________ (round off to 1 decimal place).

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An extruded snack food is packed in a barrier film having water vapour transmission rate of 0.02 mL m⁻² day⁻¹. Pack surface area is 0.0012 m² per gram of dry food solids, EMC of the food is 6% (d.b.), initial moisture content is 2% (d.b.), critical moisture content is 5% (d.b.) and slope of moisture sorption isotherm is 3.4% (d.b.) per unit water activity (aᵥ). Sealed pack is stored at 30 °C. Assume that the vapor pressure of water at 30 °C is 31.7 torr. Time required for the food to reach the critical moisture content (days) is ________ (round off to 1 decimal place).

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Freezing of 100 mm spherical meat ball with 60% moisture at 35 °C is being done in an air blast freezer maintained at -45 °C. Given, latent heat of fusion for water is 333.2 kJ kg⁻¹, thermal conductivity of meat is 1.5 W m⁻¹ °C⁻¹, convective heat transfer coefficient is 40 W m⁻² °C⁻¹, density of frozen meat is 980 kg m⁻³ and initial freezing temperature of meat ball is -10 °C. Using Plank’s equation, freezing time (h) is ____________ (round off to 2 decimal places).

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The distance between Mars and Earth is 0.52 times the distance between Sun and Earth. If the solar constant on Earth is 1370 W m

, then the solar constant on Mars is ________ W m

. (Round off to one decimal place.)

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Ideal gas equation for dry air is expressed as

, where

is pressure,

is density,

is temperature and

is gas constant. If CO

concentration in Earth’s atmosphere quadruples due to fossil fuel burning, then the new gas constant is ________ J kg

. (Round off to two decimal places.) Take the universal gas constant (

) = 8.314 J K

mole

, molecular weight of CO

= 44, and present value of

= 287 J kg

, present concentration of CO

= 500 mg kg

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On a calm evening under a clear sky, the lowest 20 m of the atmosphere is continuously losing energy at a rate of 10 W m

due to radiative cooling. Sensible and latent heat flux exchange with the ground is zero. If air temperature and dew point depression at 6 p.m. are 25°C and 8°C, respectively, the probability of fog formation at midnight is ________ %. (Round off to the nearest integer.) Take

= 1005 J kg

, density of air = 1.15 kg m

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The dynamical core of a general circulation model uses 256 spherical harmonic waves to cover the globe in east-west direction. If two grids of the model exactly resolve the shortest of those waves, then the grid spacing at the equator is ________ km. (Round off to one decimal place.) Take radius of the earth (

) = 6400 km.

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It rains 10 cm in a day over an ocean with a mixed layer depth of 5 m and initial salinity 30 g kg

. The rain water uniformly mixes with the existing mixed layer water. The final salinity after the rain is ________ g kg

. (Round off to one decimal place.)

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A moist air parcel is lifted adiabatically to 800 hPa level. Initial temperature and pressure of the parcel are 300 K and 1010 hPa, and the partial pressure of water vapor is 10 hPa. The partial pressure of the water vapor at the new location is ________ hPa. (Round off to one decimal place.) Take saturation vapor pressure of water at temperature

where

hPa,

K, gas constant (

) = 287 J kg

, and

= 1005 J kg

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In steady state, global mean precipitation

is equal to global mean evaporation

from the surface of the earth. If

is 2.8 mm day

, then the global mean surface latent heat flux is ________ W m

. (Round off to the nearest integer.) Take latent heat of evaporation of water as

J kg

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GATE XE format:nat PYQs

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