2 gm of a mixture of CO and CO2 on reaction with excess of I2O5 yields...
Given:
Mass of CO + CO2 = 2 gm
Mass of I2 = 2.54 gm
To find: Mass percentage of CO2 in the original mixture.
Let's assume the mass of CO in the mixture is x gm, then the mass of CO2 will be (2 - x) gm.
The balanced chemical equation for the reaction between CO and I2O5 is:
CO + I2O5 → CO2 + I2
From the equation, we can see that 1 mole of CO reacts with 1 mole of I2O5 to produce 1 mole of CO2 and 1 mole of I2.
1 mole of CO is equal to its molar mass (28 g) and 1 mole of CO2 is equal to its molar mass (44 g). Therefore, the mole ratio of CO to CO2 is 28:44, which simplifies to 7:11.
Now, let's calculate the number of moles of CO and CO2 in the mixture:
Number of moles of CO = Mass of CO / Molar mass of CO
Number of moles of CO = x / 28
Number of moles of CO2 = Mass of CO2 / Molar mass of CO2
Number of moles of CO2 = (2 - x) / 44
According to the given information, the reaction produces 2.54 gm of I2. The molar mass of I2 is 253.8 g/mol. Therefore, the number of moles of I2 can be calculated as:
Number of moles of I2 = Mass of I2 / Molar mass of I2
Number of moles of I2 = 2.54 / 253.8
From the balanced chemical equation, we know that 1 mole of CO reacts with 1 mole of I2 to produce 1 mole of I2. Therefore, the number of moles of CO in the reaction is equal to the number of moles of I2.
Setting up the mole ratio equation:
Number of moles of CO / Number of moles of CO2 = 7 / 11
(x / 28) / ((2 - x) / 44) = 7 / 11
Simplifying the above equation, we get:
11x = 56 - 7x
18x = 56
x = 56 / 18
x = 3.11 gm
Therefore, the mass of CO2 in the original mixture is (2 - x) = (2 - 3.11) = -1.11 gm.
Since the mass of CO2 cannot be negative, it means the assumption made earlier is incorrect. The mass of CO in the mixture cannot be more than 2 gm.
Hence, the correct assumption is that the mass of CO in the mixture is 2 gm, and the mass of CO2 is 0 gm.
Therefore, the mass percentage of CO2 in the original mixture is (0 / 2) * 100 = 0%.
Therefore, the correct answer is option B) 0.
2 gm of a mixture of CO and CO2 on reaction with excess of I2O5 yields...
Let in the given mix. Mass of CO = x gm
I
2O
5+5CO ⟶ 5CO
2+I
21 mole I
2 is produced from 5 moles of CO
=0.01 mole I
2 is produced from 0.05 moles of CO.
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