4. (20 PTS) AS DESCRIBED IN CLASS, CURIOSITY, THE MARS ROBOTIC LANDER DISCOVERED

Question

4. (20 PTS) AS DESCRIBED IN CLASS, CURIOSITY, THE MARS ROBOTIC LANDER DISCOVERED THE PRESENCE OR SMALL ROUND ROCKS (PEBBLES) ON MARS. THIS EXCITING FIND IS NOW BELIEVED TO BE EVIDENCE OF A DRIED RIVER BED. THE PEBBLES WERE MEASURED BY THE ROBOTIC LANDER USING VISIBLE LIGHT SCATTERING. THEIR MEASURED DIAMETERS WERE: 10.05, 13.0, 15.100, AND 20. mm GIVEN A PEBBLE POPULATION DIAMETER AVERAGE OF 11. MM PRIOUSLY DETERMINED USING CLOSE INFRARED REFLECTANCE, CALCULATE THE STANDARD DEVIATION AND THE VARIANCE OF THE MEASUREMENTS. 5. (20 PTS.) THE ACID SOLUTION FROM A SPENT FUEL CELL IN THE INTERNATIONAL SPACE STATION WAS TESTED FOR ITS ACIDITY. ITS pH WAS FOUND TO BE pH 2.213 t0.003 CALCULATE THE HYDROGEN ION CONCENTRATION [H'] AND ITS UNCERTAINTY AND CALCULATE THE HYDROXIDE ION CONCENTRATION [OH] AND ITS UNCERTAINTY. 207 words

Explanation / Answer

As per chegg answering policy in case of multiple questions being posted i can answer only the first question. Please post one question at a time.

First question solution:

variance=1.0009e+03;

standard deviation=31.6374;

Matlab code :

x=[10.05 13 15.1 20] %x is particle dia matrix
z(numel(x))=0;
for i=1:numel(x)
z(i)=(x(i)-11)^2; %11 is mean
end
variance=sum(z)/numel(x)
%standard is standard deviation
standard=power(variance,0.5)  

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