Answer:
C2H4O
Explanation:
We can get the answer through calculations as follows.
From the mass of carbon iv oxide produced, we can get the number of moles of carbon produced. We first divide the mass by the molar mass of carbon iv oxide. The molar mass of carbon iv oxide is 44g/mol
The number of moles of carbon iv oxide is 1.6004/44 = 0.0364
Since there is only one carbon atom in CO2, the number of moles of carbon is same as above
The mass of carbon in the compound is simply the number of moles multiplied by the atomic mass unit. The atomic mass unit of carbon is 12. The mass of carbon in the compound is thus 12 * 0.0364= 0.4368g
From the number of moles of water, we can get the number of moles of hydrogen. To get the number of moles of water, we need to divide the mass of water by its molar mass. Its molar mass is 18g/mol. The number of moles here is thus 0.6551/18 = 0.0364 mole
But there are 2 atoms of hydrogen in 1 mole of water and thus, the number of moles of hydrogen is 2 * 0.0364= 0.0728
The mass of hydrogen is thus 0.0728* 1 = 0.0728g
The mass of oxygen equals the mass of the compound minus that of hydrogen and that of carbon.
= 0.8009 - 0.0728 - 0.4368 = 0.2913 mole
The number of moles of oxygen is the mass of oxygen divided by its atomic mass unit.
That equals 0.2913/16 = 0.0182 mole
The empirical formula can be obtained by dividing the number of moles of each by the smallest which is that of carbon and oxygen 0.0182
H = 0.0728/0.0182 = 4
C= 0.0364/0.0182 = 2
O= 0.0182/0.0182= 1
The empirical formula is thus C2H4O
where N0 is the initial quantity, Nt is the remaining quantity after time t, t1/2 is the half-time. So work out the equation, t1/2 = t (-ln2)/ln(Nt/N0) = 11.5*(-ln2)/ln(12.5/100) = 3.83 days