Answer:
Mole fraction of [tex]NH_{3}[/tex] in solution is 0.0597.
Explanation:
Molar mass of [tex]NH_{3}[/tex] = 17.031 g/mol
Molar mass of [tex]H_{2}O[/tex] = 18.015 g/mol
No. of moles = (mass)/(molar mass)
So, 15.0 g of [tex]NH_{3}[/tex] = [tex]\frac{15.0}{17.031}[/tex] moles of [tex]NH_{3}[/tex] = 0.8807 moles of [tex]NH_{3}[/tex]
250 g of [tex]H_{2}O[/tex] = [tex]\frac{250}{18.015}[/tex] moles of [tex]H_{2}O[/tex] = 13.88 moles of [tex]H_{2}O[/tex]
So, Mole fraction of [tex]NH_{3}[/tex] in the solution = (no.of moles of [tex]NH_{3}[/tex] )/(total no. of moles) = [tex]\frac{0.8807}{0.8807+13.88}[/tex] = 0.0597
Hence, mole fraction of [tex]NH_{3}[/tex] in solution is 0.0597.