A flammable gas made up of only carbon and hydrogen is found to effuse through a porous barrier in 1.50 min. Under the same conditions of temperature and pressure, it takes an equal volume of bromine vapor 4.73 min to effuse through the same barrier. Calculate the molar mass of the unknown gas, and suggest what this gas might be.
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Ответ:
The molar mass of the unknown gas is 16 g/mol hence the unknown gas is methane.
We must note that the time taken for a gas to diffuse is directly proportional to the molar mass of the gas.
Hence;
t1/t2 = √M1/M2
Let t1 = time taken for the flammable gas to diffuse = 1.50 min
Let t2 = time taken for the bromine vapor to diffuse = 4.73 min
M1 = molar mass of the flammable gas = ?
M2 = molar mass of the bromine vapor = 160 g/mol
Substituting values;
1.50/4.73 = √M1/160
(1.50/4.73)^2 = M1/160
0.1006 = M1/160
M1 = 0.1006 × 160
M1 = 16 g/mol
The unknown gas is methane.
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Ответ:
A. The molar mass of the unknown gas is 16g/mol
B. Compound is CH4 i.e methane
Explanation:
A. Step 1:
Representation:
Let t1 be time for unknown gas
Let t2 be the time for bromine vapor
Let M1 be molar mass of the unknown gas
Let M2 be the molar mass of bromine vapor
A. Step 2 :
Data obtained from the question.
Time for the unknown gas (t1) = 1.50 min
Time for Br2 (t2) = 4.73 min
Molar Mass of unknown gas (M1) =?
Molar Mass of Br2 (M2) = 80 x 2 = 160g/mol
A. Step 3:
Determination of the molar mass of the unknown gas.
Applying the equation:
t2/t1 = √(M2/M1)
The molar mass of can be obtained as follow:
t2/t1 = √(M2/M1)
4.73/1.5 = √(160/M1)
Take the square of both side
(4.73/1.5)^2 = 160/M1
9.94 = 160/M1
Cross multiply to express in linear form.
9.94 x M1 = 160
Divide both side by 9.94
M1 = 160/9.94
M1 = 16g/mol
Therefore, the molar mass of the unknown gas is 16g/mol
B. Identification of the gas.
The gas contains C and H only. From the calculations made above, the molar mass of the unknown gas is 16g/mol.
We know also that the molar mass of carbon is 12g/mol and that of Hydrogen is 1g/mol
Therefore,
C + H = 16
There would be only 1 atom of C in the compound since the molar mass of the compound is 16g/mol. With these understanding, let us determine the number of H atom in the compound. This is illustrated below :
C + H = 16
12 + H = 16
H = 16 - 12
H = 4
Divide by the molar mass of H i.e 1
H = 4/1 = 4
There are 4 atoms of H in the compound. Therefore, the compound is CH4 i.e methane
Ответ:
D) 3Ni (s) + 2Fe(NO3)3 (aq) → 3Ni(NO3)2 (aq) + 2Fe (s)
Explanation:
According to the metal activity series, only a metal higher in the reactivity series will replace another. A metal can only displace metal ions listed below it in the activity series, but not above.
Iron is higher in the activity series than nickel so it will displace nickel.
The balanced chemical equation will be as follows:
3Ni (s) + 2Fe(NO₃)₃ (aq) → 3Ni(NO₃)₂ (aq) + 2Fe (s)
Hope that helps.