Process Calculations GATE-2004
Q 1: A distillation column separates 10,000 kg/h of a benzene-toluene mixture as shown in the figure below.
In the figure, xF, xD, and xW represent the weight fraction of benzene in the feed, distillate, and residue respectively. The reflux ratio is
Q 2: The weight fraction of methanol in an aqueous solution is 0.64. The mole fraction of methanol XM satisfies
Q 3: 80 kg of Na2SO4 (molecular weight 142) is present in 330 kg of an aqueous solution. The solution is cooled such that 80 kg of Na2SO4.10H2O crystals separate out. The weight fraction of Na2SO4 in the remaining solution is
Common data for Q 4 & 5:
One mole of methane undergoes complete combustion in a stoichiometric amount of air. The reaction proceeds as
CH_4+2O_2\rightarrow CO_2+2H_2OBoth the reactants and the products are in the gas phase. \triangle H_{298}^0=-730\;\frac{kJ}{mol\;of\;methane}
Q 4: The mole fraction of water vapor in the product gases is about
Q 5: If the average specific heat of all the gases/vapor is 40 J/(mol K), the maximum temperature rise of the exhaust gases at 0C would be approximately equal to
Q 6: A vessel of volume 1000 m3 contains air which is saturated with water vapor. The total pressure and temperature are 100 kPa and 200 C, respectively. Assuming that the vapor pressure of water at 200 C is 2.34 kPa, the amount of water vapor (in kg) in the vessel is approximately
Q 7: The vapor pressure of water is given by
\ln\left(P^{sat}\right)=A-\frac{5000}TWhere A is a constant, Psat is vapor pressure in atm, and T is temperature in K. The vapor pressure of water in atm at 500 C is approximately