Be careful, its kinetics!

Chemistry Level 3

S O X 2 + O X 2 2 S O X 3 \ce{SO2 + O2 -> 2SO3 }

For the above reaction, If rate of disappearance of O X 2 \ce{O_2} is 8 gm/s 8 \text{ gm/s} , then rate of appearance of S O X 3 \ce{SO_3} will be:

None of these choices 16 gm/s 16 \ \text{gm/s} 10 gm/s 10 \ \text{ gm/s} 40 gm/s 40 \ \text{gm/s} 8 gm/s 8 \ \text{gm/s} 4 gm/s 4 \ \text{gm/s}

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

3 solutions

The balance reaction should be 2 S O X 2 + O X 2 2 S O X 3 \ce{2SO2 + O2 -> 2SO3} . This means that 1 1 mol of O X 2 \ce{O2} gives 2 2 mol of S O X 3 \ce{SO3} . Since 8 g/s = 1 4 mol/s 8 \text{ g/s } = \frac{1}{4} \text{ mol/s} of O X 2 \ce{O2} disappearance, it gives 1 2 mol/s = 40 g/s \frac{1}{2} \text{ mol/s} = \boxed{40 \text{ g/s}} of S O X 3 \ce{SO3} appearance.

2 S O 2 + O 2 2 S O 3 A c c o r d i n g t o K i n e t i c s 1 2 d [ S O 2 ] d t = d [ O 2 ] d t = 1 2 d [ S O 3 ] d t ( 1 ) G i v e n d [ O 2 ] d t = 8 g m / s = 8 32 m o l e s / s = 1 4 m o l e s / s N o w U s i n g E q u a t i o n ( 1 ) 1 2 d [ S O 3 ] d t = 1 4 m o l e s / s d [ S O 3 ] d t = 1 2 m o l e s / s = 32 + 16 + 16 + 16 2 g m / s = 40 g m / s 2S{ O }_{ 2 }\quad +{ \quad O }_{ 2 }\quad \rightarrow \quad 2S{ O }_{ 3 }\\ According\quad to\quad Kinetics\\ \frac { -1 }{ 2 } \frac { d[S{ O }_{ 2 }] }{ dt } =-\frac { d[{ O }_{ 2 }] }{ dt } =\frac { 1 }{ 2 } \frac { d[S{ O }_{ 3 }] }{ dt } \quad ---------(1)\\ Given\quad -\frac { d[{ O }_{ 2 }] }{ dt } =8gm/s=\frac { 8 }{ 32 } moles/s=\frac { 1 }{ 4 } moles/s\\ Now\quad Using\quad Equation\quad ---------(1)\\ \frac { 1 }{ 2 } \frac { d[S{ O }_{ 3 }] }{ dt } =\frac { 1 }{ 4 } moles/s\\ \frac { d[S{ O }_{ 3 }] }{ dt } =\frac { 1 }{ 2 } moles/s=\frac { 32+16+16+16 }{ 2 } gm/s=40gm/s\\ \\

Seong Ro
Jan 7, 2016

@Akhil Bansal kindly post ur solution, I accidentally answered it correctly.

8gm corresponds to 1/4 mole of O 2 O_2 .

Now 1 mole of O 2 O_2 yields 2 moles of S O 3 SO_3 .

So 1/4 mole of O 2 O_2 yields 1/2 mole of S O 3 SO_3

Which is equal to 1 2 × 80 = 40 g m / s \frac{1}{2}\times 80=40gm/s

Tanishq Varshney - 5 years, 5 months ago

Log in to reply

Absolutely correct.

Akhil Bansal - 5 years, 5 months ago

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...