Question

Two gases X and Y are found in the atmosphere in only trace amounts because they decompose quickly. When exposed to ultraviolet light the half-life of X is 75. min, while that of Y is 2.25 h. Suppose an atmospheric scientist studying these decompositions fills a transparent 10.0 L flask with X and Y and exposes the flask to UV light. Initially, the partial pressure of X is 25.0% greater than the partial pressure of Y. yes As both gases decompose, will the partial pressure of X ever fall below the partial pressure of Y? 0x10 : no Х 5 ? If you said yes, calculate the time it takes the partial pressure of X to fall below the partial pressure of Y. Round your answer to 2 significant digits. I min

Answer 1

75 min solution (0) til) (Alley 135 min 2.25hi (A2) < (tudy from here we can see =) Y fo so x decompose fast than Yes Pixely 1 at some time. ci in (+12)x I 75 0.693 F Fæ Cze 9.2 zux 103 min -) Key 0.693 135 = 5,133x10^3 miny

given Py = 1.25 to exp (est) Py = Po exip (-kyt) at time . t Px. apy E- 1.85 exp (-424 490 ° +) exp (sil 133x 10'+) =) en (1.25) - 9.24 x 103 + - 5.13341003 + t s 54.33 bor ampir