Correct Answer:
Option 1: Equilibrium constant may increase or decrease, but rate constant always increases with temperature.
Explanation:
Rate Constant (k):
The rate constant (k) is related to temperature by the Arrhenius equation: k = A * e(-Ea/RT).
As temperature (T) increases, the rate constant (k) always increases.
Equilibrium Constant (K):
The equilibrium constant (K) is related to the rate constants of the forward and reverse reactions: K = kf / kr.
The temperature dependence of K is given by the van 't Hoff equation: d(ln K)/dT = ΔH°/RT2.
Therefore, the equilibrium constant can either increase or decrease, depending on the reaction.
A quantity \( X \) is given by: \[ X = \frac{\epsilon_0 L \Delta V}{\Delta t} \] where:
- \( \epsilon_0 \) is the permittivity of free space,
- \( L \) is the length,
- \( \Delta V \) is the potential difference,
- \( \Delta t \) is the time interval.
The dimension of \( X \) is the same as that of: