The number of correct statement/s from the following is __________

A. Larger the activation energy, smaller is the value of the rate constant.

B. The higher is the activation energy, higher is the value of the temperature coefficient.

C. At lower temperatures, increase in temperature causes more change in the value of k than at higher temperature

D. A plot of $$\mathrm{\ln k}$$ vs $$\frac{1}{T}$$ is a straight line with slope equal to $$-\frac{E_a}{R}$$

Assuming $$1 \,\mu \mathrm{g}$$ of trace radioactive element X with a half life of 30 years is absorbed by a growing tree. The amount of X remaining in the tree after 100 years is ______ $$\times\, 10^{-1} \mu \mathrm{g}$$.

[Given : ln 10 = 2.303; log 2 = 0.30]

The reaction between X and Y is first order with respect to X and zero order with respect to Y.

Experiment | $${{[X]} \over {mol\,{L^{ - 1}}}}$$ | $${{[Y]} \over {mol\,{L^{ - 1}}}}$$ | $${{Initial\,rate} \over {mol\,{L^{ - 1}}\,{{\min }^{ - 1}}}}$$ |
---|---|---|---|

I | 0.1 | 0.1 | $$2 \times {10^{ - 3}}$$ |

I | L | 0.2 | $$4 \times {10^{ - 3}}$$ |

III | 0.4 | 0.4 | $$M \times {10^{ - 3}}$$ |

IV | 0.1 | 0.2 | $$2 \times {10^{ - 3}}$$ |

Examine the data of table and calculate ratio of numerical values of M and L. (Nearest Integer)

For a reaction, given below is the graph of $$\ln k$$ vs $${1 \over T}$$. The activation energy for the reaction is equal to ____________ $$\mathrm{cal} \,\mathrm{mol}^{-1}$$. (nearest integer)

(Given : $$\mathrm{R}=2 \,\mathrm{cal} \,\mathrm{K}^{-1} \,\mathrm{~mol}^{-1}$$ )