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°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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