GATE CY 2017 Question Paper (05-Feb-2017) (Shift 1)

Consider $N$ particles at temperature $T$, pressure $P$, volume $V$ and chemical potential $\mu$ having energy $E$. The parameters that are kept constant for a canonical ensemble are

For ortho-hydrogen, the nuclear wavefunction and the rotational quantum number, respectively, are

$m_1$ and $m_2$ are the slopes $(dP/dT)$ of the solid-liquid equilibrium lines in the $P-T$ phase diagrams of $H_{2}O$ and $C{O}_2$, respectively. For $P<10$ atm, the values of $m_1$ and $m_2$ are

The rate constant of a reaction is $1.25\times 10^{-4}$ mol $L^{-1}$ $s^{-1}$. If the initial concentration of the reactant is $0.250$ mol $L^{-1}$, the total time (in seconds) required for complete conversion is ________________.

Consider an ideal gas of volume $V$ at temperature $T$ and pressure $P$. If the entropy of the gas is $S$, the partial derivative $(\partial P/\partial S{)}_V$ is equal to