If a rocket runs on a fuel (C15H30) and liquid oxygen, the weight of oxygen required and CO2 released for every litre of fuel respectively are :                                                                                                

(Given : density of the fuel is 0.756 g/mL)

Option 1 - <p>1188 g and 1296 g</p>
Option 2 - <p>2376 g and 2592 g&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</p>
Option 3 - <p>2592 g and 2376 g</p>
Option 4 - <p>3429 g and 3142 g</p>
2 Views|Posted 6 months ago
Asked by Shiksha User
1 Answer
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6 months ago
Correct Option - 3
Detailed Solution:

Mass of C15H30 = volume * Density

= 1000 m l  * 0.756 gm/ m l  

C15H30 + 22.5 O2   15CO2 + 15H2O

No. of moles of C15H30 = 7 5 6 2 1 0 moles

No. of moles of O2 required =   ( 2 2 . 5 * 7 5 6 2 1 0 ) m o l e s

Mass of O2 required = 22.5 *   7 5 6 2 1 0 * 3 2 = 2 5 9 2 g m

No. of moles of CO2 liberated = 15 *   ( 7 5 6 2 1 0 ) moles

Mass of O2 liberated =   1 5 * 7 5 6 2 1 0 * 4 4 = 2 3 7 6 g m

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