Question 51. For an exothermic reversible reaction, which one of the following correctly describes the dependence of the equilibrium constant ( K ) with temperature (T ) and pressure ( P ) ?

Question 52. In a parallel flow heat exchanger operating under steady state, hot liquid enters at a temperature Th, in and leaves at a temperature Th, out. Cold liquid enters at a temperature Tc, in and leaves at a temperature Tc, out. Neglect any heat loss from the heat exchanger to the surrounding. If Th, in >> Tc, in, then for a given time interval, which ONE of the following statements is true?

Question 53. If the temperature of saturated water is increased infinitesimally at constant entropy, the resulting state of water will be

Question 54. The local velocity of a fluid along a streamline can be measured by

Question 55. In a mixing tank operating at very high Reynolds number (> 104), if the diameter of the impeller is doubled (other conditions remaining constant), the power required increases by a factor of

Question 56. A solid sphere with an initial temperature Ti is immersed in a large thermal reservoir of temperature T0. The sphere reaches a steady temperature after a certain time t1. If the radius of the sphere is doubled, the time required to reach steady-state will be

Question 57. For heat transfer across a solid-fluid interface, which one of the following statements is NOT true when the Biot number is very small compared to 1?

Question 58. In the McCabe-Thiele diagram, if the x -coordinate of the point of intersection of the q -line and the vapor-liquid equilibrium curve is greater than the x -coordinate of the feed point, then the quality of the feed is

Question 59. The Newton “ Raphson method is used to find the roots of the equation f(x) = x - cos Ï€x 0 ≤ x ≤ 1. If the initial guess for the root is 0.5, then the value of x after the first iteration is

Question 60. Consider a binary liquid mixture at constant temperature T and pressure P . If the enthalpy change of mixing, ∆H = 5x1x2, where x1 and x2 are the mole fraction of species 1 and 2 respectively, and the entropy change of mixing ∆S = -R[x1 ln x1 + x2 ln x2] (with R = 8.314 J/mol.K), then the minimum value of the Gibbs free energy change of mixing at 300 K occurs when