GTU BE/B.Tech 2018 Winter Question Papers || Gujarat Technological University
Seat No.: Enrolment No.
GUJARAT TECHNOLOGICAL UNIVERSITY
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BE - SEMESTER-III (New) EXAMINATION — WINTER 2018
Subject Code: 2133606 Date:12/12/2018
Subject Name: Material & Energy Balance Calculations
Time: 10:30 AM TO 01:00 PM Total Marks: 70
Instructions:
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- Attempt all questions.
- Make suitable assumptions wherever necessary.
- Figures to the right indicate full marks.
| Marks | |
| Q.1 | |
| (a) Define the quantities with SI units: i) Force ii) Pressure iii) Work. | 03 |
| (b) A force of 20 kgf is applied on a piston of diameter 5 cm. Find the pressure exerted on a piston in KPa. | 04 |
| (c) A chemist is interested in preparing 500 ml of 1 normal, 1 molar and 1 molal solution of H2SO4. Assuming the density of H2SO4 solution to be 1.075 g/cm³, calculate the quantities of H2SO4 to be taken to prepare these solutions. | 07 |
| Q.2 | |
| (a) Define the laws with their equations: 1) Ideal Gas Law ii) Raoult’s Law iii) Henry’s Law | 03 |
| (b) A certain quantity of a gas contained in a closed vessel of volume 1 m³ at a temperature of 298 K (25°C) and pressure of 131.7 KPa is to be heated such that the pressure should not exceed 303.98 KPa. Calculate the temperature of gas attained. | 04 |
| (c) Derive: Pressure%=Mole%=Volume% | 07 |
| OR | |
| (c) A weight of 1.10 kg of Carbon dioxide occupies a volume of 0.033 m³ at 300 K. Using the Van der Waals equation of state, calculate the pressure. Data: For CO2 gas, take a = 3,60.[(m³)² .kPa] / (kmol)² and b=4.3 x 10?² m³ /kmol. | 07 |
| Q.3 | |
| (a) Derive: pmix= (PMave) /RT | 03 |
| (b) A gas mixture contains 0.274 kmol of HCl, 0.337 kmol of N2 and 0.089 kmol of O2. Calculate: (a) Average molecular weight of gas. | 04 |
| (c) A solution containing 55% benzene, 28% toluene and 17% xylene by weight is in contact with its vapour at 373 K. Calculate the total pressure and molar composition of the liquid & vapour. Data: Vapour Press. Data at 373 K: Benzene: 178.60KPa, Toluene: 74.60KPa, Xylene: 28KPa. | 07 |
| OR | |
| Q.3 | |
| (a) Define the terms: (a) % Conversion (b) % Yield (c) % Excess | 03 |
| (b) In the production of sulphur trioxide, 100 kmol of SO2, 200 kmol O2 are fed to reactor. The product stream is found to contain 80 kmol SO3. Find the % conversion of SO2. SO2 + 1/2 O2 = SO3 | 04 |
| (c) In the manufacture of acetic acid by oxidation of acetaldehyde, 100 kmol of acetaldehyde is fed to the reactor per hour. The product leaving the reactor contains 14.81% acetaldehyde, 59.26% acetic acid, and the rest oxygen (on mole basis). Find the percentage conversion of acetaldehyde. CH3CHO + 1/2 O2 = CH3COOH | 07 |
| Q.4 | |
| (a) Define the following terms: 1) Limiting Reactant ii) Excess Reactant iii) Stoichiometric Ratio | 03 |
| (b) Calculate the following for the reaction: C2H6 + 2Cl2 ? C2H4Cl2 + H2 + HCl (1) The stoichiometric ratio of Cl2 to C2H6 (ii) If 4 kmol Cl2 is used per kmol of C2H6, find the % excess Cl2. | 04 |
| (c) A coke is known to contain 90% carbon and 10% non-combustible ash(by weight): C + O2 = CO2 1) Find the moles of oxygen theoretically required to burn 100 kg of coke completely. ii) If 50% excess air is supplied, find the analysis of the gases at the end of the combustion? | 07 |
| OR | |
| Q.4 | |
| (a) Define the following terms: i) Law of Conservation of Mass ii) Heat Capacity iii) recycling | 03 |
| (b) Explain the following unit operations with their block diagram and material balances: 1) Distillation ii) Evaporation. | 04 |
| (c) Fresh juice contains 15% solids and 85% water by weight and is to be concentrated to contain 40% solids by weight. In a single stage evaporation system, it is found that volatile constituents of juice escape with water leaving the concentrated juice with a flat taste. In order to overcome this problem, part of the fresh juice bypasses the evaporator. The operation is shown schematically: | 07 |
| | |
| Calculate: 1) The fraction of juice that bypasses the evaporator. ii) The concentrated juice produced (containing 40% solids) per 100 kg of fresh juice fed to the process. | |
| Q.5 | |
| (a) Explain standard heat of reaction and standard heat of combustion. | 03 |
| (b) Explain the significance of bypass operation with neat flow diagram. | 04 |
| (c) Soyabean seeds are extracted with the hexane in batch extractors. The flaked seeds are found to contain 18.6% oil, 69% solids, 12.4% moisture (by weight). At the end of the extraction process, cake is separated from hexane-oil mixture. The cake is analyzed to contain 0.8% oil, 87.7% solids and 11.5% moisture (by weight). Find the percent recovery of oil. | 07 |
| OR | |
| Q.5 | |
| (a) Define: i) Dry-bulb temperature ii) Wet-bulb temperature. | 03 |
| (b) Chlorinated diphenyl is heated from 313 K (40°C) to 533 K (260°C) in an indirectly fired heater at the rate of 4000 kg/h. Calculate the heat required to be added to the fluid in the heater. The heat capacity of the fluid in this temperature range is given by the equation: C= 0.7511+1.465x10?³ T, kJ/(kg.K) where T is in K. | 04 |
| (c) Calculate the change in enthalpy between reactants and products if both are at 298 K (25°C) and if 5 mole of ethylene oxide is produced as per the following reaction: C2H4(g) + 1/2 O2 = C2H4O(g) | 07 |
| Data: | |
| Component | ?H°f, kJ/mol at 298.15 K(25°C) |
| C2H4(g) | 52.50 |
| C2H4O(g) | -52.63 |
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