For the decomposition of azomethane,

CH₃N₂CH₃(g) → CH₃CH₃(g) + N₂(g), a first order reaction, the variation in partial pressure with time at 600 K is given as.

The half life of the reaction is __________× 10^-5s. [Nearest integer]

<p>For first order reaction, </p><p><math><mrow><mi mathvariant="script">l</mi><mi>n</mi><mrow><mo> (</mo><mrow><mfrac><mrow><mi>P</mi></mrow><mrow><msub><mrow><mi>P</mi></mrow><mrow><mn>0</mn></mrow></msub></mrow></mfrac></mrow><mo>)</mo></mrow><mo>=</mo><mo>−</mo><mi>k</mi><mo>.</mo><mi>t</mi></mrow></math></p><p><math><mrow><mi>K</mi><mo>=</mo><mn>3</mn><mo>.</mo><mn>4</mn><mn>6</mn><mn>5</mn><mo>×</mo><mn>1</mn><msup><mrow><mn>0</mn></mrow><mrow><mn>4</mn></mrow></msup></mrow></math></p><p><math><mrow><msub><mrow><mi>t</mi></mrow><mrow><mn>1</mn><mo>/</mo><mn>2</mn></mrow></msub><mo>=</mo><mfrac><mrow><mn>0</mn><mo>.</mo><mn>6</mn><mn>9</mn><mn>3</mn></mrow><mrow><mn>3</mn><mo>.</mo><mn>4</mn><mn>6</mn><mn>5</mn><mo>×</mo><mn>1</mn><msup><mrow><mn>0</mn></mrow><mrow><mn>4</mn></mrow></msup></mrow></mfrac><mo>=</mo><mn>2</mn><mo>×</mo><mn>1</mn><msup><mrow><mn>0</mn></mrow><mrow><mo>−</mo><mn>5</mn></mrow></msup></mrow></math>&nbsp;sec</p>

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