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Chapter 12: Q58 E (page 708)

In an experiment, a sample of NaClO3 was 90% decomposed in 48 min. Approximately how long would this decomposition have taken if the sample had been heated 20掳C higher?

Short Answer

Expert verified

The time required for the decomposition is 12 minutes.

Step by step solution

01

Assumption and analysis

Assuming the reaction rate doubles for \(10^\circ C\)rise in temperature. The rate becomes \({{\bf{2}}^{\bf{2}}}{\bf{ = 4}}\,\,{\bf{times}}\) at \(20^\circ C\) higher, the time decreases by \({{\bf{2}}^{\bf{2}}}{\bf{ = 4}}\,\,{\bf{times}}\).

02

Calculation

Therefore, time required is \(\frac{{{\bf{48}}}}{{\bf{4}}}{\bf{ = 12}}\)min

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