List of top Process Calculations and Thermodynamics Questions asked in GATE CH

Which of the following statements regarding the heat of reaction is/are CORRECT?
Cyclohexane (C6H12) is produced from benzene (C6H6) and hydrogen (H2) according to the following reaction.
\[ C_6H_6 + 3H_2 \rightarrow C_6H_{12} \]
Consider the process flow diagram shown in the figure.

In this process, the overall and single-pass conversions are 90% and 25%, respectively. The recycle stream contains 25 mol% C6H6 and 75 mol% H2. If the fresh feed contains 25% excess H2, at steady state, the ratio of the molar flow rate of the recycle stream to that of the fresh feed is ______ (rounded off to one decimal place).
According to the phase rule, which one of the following is the number of degrees of freedom for pure water at its triple point?
Consider a closed system of one mole of an ideal gas undergoing a polytropic process. The process follows \( PV^n = \text{constant} \), where P is the pressure, V is the volume and n is a constant. If the process is isobaric, which one of the following is the value of n?

Methanol is formed by the following gas phase homogeneous reaction:

\[ \mathrm{CO(g) + 2H_2(g) \rightleftharpoons CH_3OH(g)} \]

The standard Gibbs free energies of formation at \(298\ \mathrm{K}\) for CO and \(\mathrm{CH_3OH}\) are \(-137\ \mathrm{kJ\,mol^{-1}}\) and \(-162\ \mathrm{kJ\,mol^{-1}}\), respectively. The value of the universal gas constant is \(8.314\ \mathrm{J\,mol^{-1}\,K^{-1}}\). The equilibrium constant for the given reaction at \(298\ \mathrm{K}\) is ______ \(\times 10^4\) (rounded off to one decimal place).

For a first-order irreversible reaction carried out in a batch reactor, the rate of reaction is proportional to:
Which mode of heat transfer is dominant in vacuum?
For an ideal gas, internal energy is a function of:
In distillation, relative volatility is a measure of: