Given-that-the-mean-relative-atomic-mass-of-chlorine-contain-two-isotopes-of-mass-numbe-35-and-37-What-is-the-percentage-of-composition-of-the-isotope-of-mass-number-37-

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Question Number 11389 by tawa last updated on 23/Mar/17

$$\mathrm{Given}\mathrm{that}\mathrm{the}\mathrm{mean}\mathrm{relative}\mathrm{atomic}\mathrm{mass}\mathrm{of}\mathrm{chlorine}\mathrm{contain}\mathrm{two}\mathrm{isotopes}$$$$\mathrm{of}\mathrm{mass}\mathrm{numbe}35\mathrm{and}37.\mathrm{What}\mathrm{is}\mathrm{the}\mathrm{percentage}\mathrm{of}\mathrm{composition}\mathrm{of}\mathrm{the}$$$$\mathrm{isotope}\mathrm{of}\mathrm{mass}\mathrm{number}37$$

Answered by sandy_suhendra last updated on 23/Mar/17

$$\mathrm{isotope}\mathrm{of}\mathrm{mass}\mathrm{number}37=\mathrm{x}\mathrm{\%}$$$$\mathrm{isotope}\mathrm{of}\mathrm{mass}\mathrm{number}36=(100-\mathrm{x})\mathrm{\%}$$$$\mathrm{the}\mathrm{mean}\mathrm{relative}\mathrm{atomic}\mathrm{mass}\mathrm{of}\mathrm{Cl}=35.5$$$$35.5=\frac{\mathrm{x}}{100}\times 37+\frac{100-\mathrm{x}}{100}\times 35$$$$3550=37\mathrm{x}+3500-35\mathrm{x}$$$$50=2\mathrm{x}$$$$\mathrm{x}=25\mathrm{\%}$$

Commented by tawa last updated on 23/Mar/17

$$\mathrm{God}\mathrm{bless}\mathrm{you}\mathrm{sir}.$$

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