An unknown element. X, has three naturally occurring isotopes. The masses of the

Question

An unknown element. X, has three naturally occurring isotopes. The masses of the three isotopes are 31.236, 33.182 nad 36.211. The first two have a percent abundance of 62.230% and 12.530% respectively. What is the average mass of element? 28.133 33.543 32.736 23.596 35.027 The crew of the TV show Fear Factor arc trying to design a challenge where a contestant has to dive into a tank containing a substance designed to resemble bovine blood and retrieve a small necklace from the bottom of the tank. In order to construct a safe platform for the set. the crew needs to calculate the mass of the blood-like substance. The substance has a density of 1 06 2/cm3 If they were to construct a 2.00 ft. x 4.00 ft. x 6.00 ft glass tank for the show, what would the blood-like substance weigh if the tank were filled to the top of the tank? 254 cm= I in: I kg = 2.205 lbs: and I ft=l2in. 3420 lbs 3177 lbs 22.06 lbs 2827 lbs

Explanation / Answer

20). Masses of three isotopes = 31.236 , 33.182 and 36.211

Percent abundance of first two isotopes = 62.230 % and 12.530 %

Percent abundance of third isotope = 100 - (62.230 + 12.530)

= 25.24 %

Let the average mass of the element be X amu

Then,

0.6223 * 31.236 + 0.1253 * 33.182 + 0.2524 * 36.211 = X

X = 32.735 amu

So, average mass of the element = 32.735 amu

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