Heat and Thermal ExpansionHard

Question

An vessel conatins 14 g (moles) of hydrogen and 96 g (3 moles) of oxygen at ATP. Chemical reaction induced by passing electric spark in the vessel till one of the gasses is consumed. The temperature is brought back to it′s starting value k. The pressure in the vessel is -

Options

A.0.1 atm
B.0.2 atm
C.0.3 atm
D.0.4 atm

Solution

When electric spark is passed, hydrogen reacts with oxygen to from water (H2O) . Each gram of hydrogen reacts with eight grams of oxygen. Thus 96 g of oxygen will be totally consumed with 12 g hydrogen.
The gas left in the vessel will be 2g of hydrogen i.e. number of moles  μ = = 1.
Using PV = μRT ⇒ P∝ μ ⇒ ⇒ P2 = 0.1 atm

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