Try it on paper first. A hint, the key idea and the worked solution are here when you need them.
Diborane burns completely in oxygen: . A sample of diborane of volume at and is burned. Take the molar volume as and the molar mass of as . The standard enthalpies of formation are for , for and for (oxygen is an element). Find the volume of oxygen needed, the mass of boron(III) oxide formed and the heat released.
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Step 1. Moles of diborane. .
Step 2. Oxygen. The equation needs mol of O for each mole of diborane, so . The volume is .
Step 3. Boron(III) oxide. One mole forms for each mole of diborane: .
Step 4. The enthalpy of the reaction. for one mole of diborane.
Step 5. The heat. is released.
Answer: , and .
Check. The heat for each gram of diborane is . This is more than the roughly of petrol, which is why diborane was studied as a rocket fuel.
Source. The enthalpies of formation are standard values from the NIST Chemistry WebBook and the CRC Handbook. NCERT prints for the combustion of diborane. The answer here follows the standard formation enthalpies given in the statement.
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Borax reacts with acid as . Heating gives . For a weak acid, , and a mixture of the acid and its conjugate base obeys . By Hess's law, .