For a chemical reaction, half-life period $\left(t_{\frac{1}{2}}\right)$ is 10 minutes. How much reactant will be left after 20 minutes if one starts with 100 moles of reactant and the order of the reaction be (i) zero, (ii) one and (iii) two?

An egg takes 4.0 minutes to boil at sea level where the boiling point of water is $T_1 K$, where as it takes 8.0 minutes to boil on a mountain top where the boiling point of water is $\mathrm{T}_2 \mathrm{~K}$. The activation energy for the reaction that takes place during the boiling of egg is

For a first order reaction with rate constant $$\mathrm{k}$$, the slope of the plot of $$\log$$ (reactant concentration) against time is

Which of the following would give a linear plot?

(k is the rate constant of an elementary reaction and T is temp. in absolute scale)