Mixture of N2o and h2 gas contains 66% mass of n2o. What is the averag...
Given:
Let total moles of mixture be 100g
Moles of CO2 = 66g
Then hydrogen will be = 34g
Number of moles of CO2=66/44=1.5
Numbsr of moles if H2=34/2=17
Total moles =1.5+17=18.5
Formula to be used:
Mavg= Total mass/ total moles
= 100/18.5=5.40
VAPOUR DENSITY= MAvg/2
=5.40/2=2.70
So, VAPOUR density of mixture is 2.7
Mixture of N2o and h2 gas contains 66% mass of n2o. What is the averag...
The given problem involves finding the average molecular mass of a mixture of N2O and H2 gases, where the mixture contains 66% mass of N2O. To solve this problem, we can follow these steps:
1. Define the variables:
- Let the mass of N2O in the mixture be M_N2O.
- Let the mass of H2 in the mixture be M_H2.
- Let the total mass of the mixture be M_total.
2. Calculate the mass of N2O:
- Since the mixture contains 66% mass of N2O, we can write:
M_N2O = 0.66 * M_total
3. Calculate the mass of H2:
- The mass of H2 can be found by subtracting the mass of N2O from the total mass:
M_H2 = M_total - M_N2O
4. Determine the molar mass of N2O and H2:
- The molar mass of N2O is 44 g/mol (2 nitrogen atoms, each with a molar mass of 14 g/mol, and 1 oxygen atom with a molar mass of 16 g/mol).
- The molar mass of H2 is 2 g/mol (2 hydrogen atoms, each with a molar mass of 1 g/mol).
5. Calculate the number of moles of N2O and H2:
- The number of moles can be calculated using the formula: moles = mass / molar mass.
- The number of moles of N2O is M_N2O / 44 g/mol.
- The number of moles of H2 is M_H2 / 2 g/mol.
6. Calculate the total number of moles:
- The total number of moles in the mixture is the sum of the moles of N2O and H2.
7. Calculate the average molecular mass:
- The average molecular mass can be calculated using the formula: average molecular mass = total mass / total moles.
- The total mass is M_total.
- The total moles is the sum of the moles of N2O and H2.
8. Substitute the calculated values into the formula for average molecular mass:
- average molecular mass = M_total / (M_N2O / 44 g/mol + M_H2 / 2 g/mol)
9. Simplify the equation:
- average molecular mass = (M_total * 44 g/mol) / (M_N2O + 22 * M_H2)
10. Substitute the value of M_N2O and M_H2 from step 2 and 3:
- average molecular mass = (M_total * 44 g/mol) / (0.66 * M_total + 22 * (M_total - 0.66 * M_total))
11. Simplify the equation further:
- average molecular mass = (M_total * 44 g/mol) / (0.66 * M_total + 22 * 0.34 * M_total)
12. Cancel out the common factors:
- average molecular mass = (44 g/mol) / (0.66 + 22 * 0.34)
13. Calculate the value:
- average molecular mass = 5.40 g/mol
Therefore, the average molecular