An analysis of a Solvay-process plant shows that for every \(1.00 \mathrm{kg}\) of \(\mathrm{NaCl}\) consumed, \(1.03 \mathrm{kg}\) of \(\mathrm{NaHCO}_{3}\) are obtained. The quantity of \(\mathrm{NH}_{3}\) consumed in the overall process is \(1.5 \mathrm{kg}.\) (a) What is the percent efficiency of this process for converting NaCl to \(\mathrm{NaHCO}_{3} ?\) (b) Why is so little \(\mathrm{NH}_{3}\) required?

Short Answer

Expert verified
(a) The percent efficiency of the process for converting NaCl to NaHCO3 is 103%. (b) Only a small amount of NH3 is required because it is a catalyst in the Solvay process and is not consumed in the reaction.

Step by step solution

01

Calculate the theoretical yield

To calculate the efficiency, the actual yield needs to be compared to the theoretical yield. Considering that NaCl and NaHCO3 have nearly equal molar masses, the theoretical yield would be equal to the amount of NaCl consumed, which is 1.00kg in this case.
02

Calculate the actual yield

The actual yield is the amount of NaHCO3 obtained, which is given as 1.03kg.
03

Calculate the percent efficiency

The percent efficiency is given by the formula: \[ Efficiency (\%) = \left( \frac{{Actual \,yield}}{{Theoretical \,yield}} \right) \times 100 \] Plugging in the values, we get \[ Efficiency (\%) = \left( \frac{{1.03}}{{1.00}} \right) \times 100 = 103\% \]
04

Understanding NH3 consumption

Ammonia (NH3) is a catalyst in the Solvay process and is not consumed in the reaction. That's why only a little amount of NH3 is required.

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