#### Question

The following data were obtained during the first order thermal decomposition of SO_{2}Cl_{2} at a constant volume :SO_{2}Cl_{2} (g) → SO_{2} (g) + Cl_{2} (g)

Experiment | Time/s^{–1} |
Total pressure/atm |

1 | 0 | 0.5 |

2 | 100 | 0.6 |

Calculate the rate of the reaction when total pressure is 0.65 atm.

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In a pseudo first order hydrolysis of ester in water, the following results were obtained:

t/s | 0 | 30 | 60 | 90 |

[Ester]mol L^{−1} |
0.55 | 0.31 | 0.17 | 0.085 |

**(i) **Calculate the average rate of reaction between the time interval 30 to 60 seconds.

**(ii) **Calculate the pseudo first order rate constant for the hydrolysis of ester.

Following data are obtained for reaction :

N_{2}O_{5} → 2NO_{2} + 1/2O_{2}

t/s | 0 | 300 | 600 |

[N_{2}O_{5}]/mol L^{–1} |
1.6 × 10^{-2} |
0.8 × 10^{–2} |
0.4 × 10^{–2} |

1) Show that it follows first order reaction.

2) Calculate the half-life.

(Given log 2 = 0.3010, log 4 = 0.6021)

#### Reference Material

Solution for question: The following data were obtained during the first order thermal decomposition of SO2Cl2 at a constant volume :SO2Cl2 (g) → SO2 (g) + Cl2 (g) concept: Integrated Rate Equations - First Order Reactions. For the courses CBSE (Arts), CBSE (Commerce), CBSE (Science), PUC Karnataka Science