1. Which plot of \(ln\,k\) vs \(\displaystyle \frac{1}{T}\) is consistent with Arrhenius equation?

(1).

(2).

(3).

(4).

2. Activation energy of any chemical reactions can be calculated if one knows the value of

(1).Orientation of reactant molecules during collision

(2). Rate constant at two different temperatures

(3). Rate constant at standard temepartures

(4). Probability of collision

3. The rate of a reaction quadruples where temperature cahnges from \(27^\circ \text{C}\) to \(57^\circ \text{C}\) calculate the energy of activation.
Given \(\text{R}\,=\,8.314\,\text{J}\,\text{K}^{-1}\,\text{mol}^{-1}\), \(\text{log}4\,=\,0.6021\)

(1).\(3.80\, \text{kJ/mol}\)

(2). \(3804\, \text{kJ/mol}\)

(3). \(38.04\, \text{kJ/mol}\)

(4). \(380.4\,\text{ kJ/mol}\)

4. If the rate constant of a reaction is 0.03 s^-1, how much time does it take for 7.2 mol L^-1 concentration of the reactant to get reduced to 0.9 mol L^-1 ?
(Given: log 2 = 0391)

(1).21.0 s

(2). 69.3 s

(3). 23.1 s

(4). 210 s

5. If the half-life (\(t_{1/2}\)) for a first order reaction is 1 minute, then the time required for 99.9% completion of the reaction is closest to :

(1).10 minutes

(2). 2 minutes

(3). 4 minutes

(4). 5 minutes