List of top Fundamentals of Biological Engineering Questions on Thermodynamics asked in GATE BT

In a fermentation process, each mole of glucose is converted to biomass (CH\(_1.8\)O\(_0.5\)N\(_0.2\)), with a biomass yield coefficient of 0.4 C-mol/C-mol, according to the unbalanced equation given below. \[ {C}_6{H}_{12}{O}_6 + {NH}_3 + {O}_2 \to {CH}_1.8{O}_0.5{N}_0.2 + {CO}_2 + {H}_2{O} \] The moles of oxygen consumption per mole of glucose consumed during fermentation is _. (Round off to two decimal places)
A hot, freshly-sterilised fermentation medium is cooled in a double-pipe heat-exchanger. The medium enters the inner pipe of the exchanger at 95 \(^\circ C\) and leaves the exchanger at 40 \(^\circ C\). Cooling water, flowing counter-currently to the medium, enters the annulus of the exchanger at 15 \(^\circ C\) and leaves the exchanger at 45 \(^\circ C\). The overall heat transfer coefficient is 1350 W m\(^{-2}\) °C\(^{-1}\). The rate of heat transfer per unit area will be _________ W/m². (Round off to the nearest integer)
For a mechanically reversible isobaric process taking place in a closed system involving 5 moles of an ideal gas, the temperature increases from an initial value of 300 K to a final value of 450 K. If the specific heat capacity at constant volume (Cv) is given as 12.5 J mol\(^{-1}\) K\(^{-1}\) and gas constant is 8.314 J mol\(^{-1}\) K\(^{-1}\), the amount of heat transferred to the system will be _ J. (Round off to the nearest integer)

A hot, freshly-sterilised fermentation medium is cooled in a double-pipe heat-exchanger. The medium enters the inner pipe of the exchanger at 95 \(^\circ C\) and leaves the exchanger at 40 \(^\circ C\). Cooling water, flowing counter-currently to the medium, enters the annulus of the exchanger at 15 \(^\circ C\) and leaves the exchanger at 45 \(^\circ C\). The overall heat transfer coefficient is 1350 W m\(^{-2}\) °C\(^{-1}\). The rate of heat transfer per unit area will be _________ W/m². (Round off to the nearest integer)

In a fermentation process, each mole of glucose is converted to biomass (CH\(_1.8\)O\(_0.5\)N\(_0.2\)), with a biomass yield coefficient of 0.4 C-mol/C-mol, according to the unbalanced equation given below. \[ {C}_6{H}_{12}{O}_6 + {NH}_3 + {O}_2 \to {CH}_1.8{O}_0.5{N}_0.2 + {CO}_2 + {H}_2{O} \] The moles of oxygen consumption per mole of glucose consumed during fermentation is _. (Round off to two decimal places)

For a mechanically reversible isobaric process taking place in a closed system involving 5 moles of an ideal gas, the temperature increases from an initial value of 300 K to a final value of 450 K. If the specific heat capacity at constant volume (Cv) is given as 12.5 J mol\(^{-1}\) K\(^{-1}\) and gas constant is 8.314 J mol\(^{-1}\) K\(^{-1}\), the amount of heat transferred to the system will be _ J. (Round off to the nearest integer)