Answer: 9.1 g
Explanation:
To calculate the moles, we use the equation:
[tex]\text{Number of moles}=\frac{\text{Given mass}}{\text{Molar mass}}[/tex]
For [tex]C_3H_8[/tex]
Given mass = 50.0 g
Molar volume of [tex]C_3H_8[/tex] = 44 g/mol
Putting values in above equation, we get:
[tex]\text{Moles of}C_3H_8=\frac{50}{44}=1.14mol[/tex]
According to avogadro's law, 1 mole of every substance weighs equal to the molecular mass and contains avogadro's number [tex]6.023\times 10^{23}[/tex] of particles.
1 mole of [tex]C_3H_8[/tex] contains 8 moles of hydrogen
1.14 moles of [tex]C_3H_8[/tex] contains =[tex]\frac{8}{1}\times 1.14=9.1[/tex] moles of hydrogen
Mass of hydrogen=[tex]moles\times {\text {molar mass}}=9.1\times 1.0=9.1 g[/tex]
Thus the mass of hydrogen is 9.1 grams.
