Answer : The molecular weight of gas is, 40.9 g/mol
Explanation :
To calculate the molecular weight of gas we are using ideal gas equation:
[tex]PV=nRT\\\\PV=\frac{w}{M}RT[/tex]
where,
P = pressure of gas = 79.9 kPa
V = volume of gas = 14.5 L
T = temperature of gas = [tex]30.0^oC=273+30.0=303K[/tex]
R = gas constant = 8.314 L.kPa/mole.K
w = mass of gas = 18.8 g
M = molecular weight of gas = ?
Now put all the given values in the ideal gas equation, we get:
[tex](79.9kPa)\times (14.5L)=\frac{18.8g}{M}\times (8.314L.kPa/mole.K)\times (303K)[/tex]
[tex]M=40.9g/mol[/tex]
Therefore, the molecular weight of gas is, 40.9 g/mol