4) solve problems

F. Arjun purchased 250 g of glucose (C_{6} H_{12}O_{6} ) for Rs 40. Find the cost of glucose per mole

**Given : **cost for 250 g glucose = Rs 40 , formula of glucose = C_{6}H_{12}O_{6}

**To find : **cost of glucose per mole

**solution:**

molecular formula of glucose = C_{6}H_{12}O_{6}

\(\therefore\) molecular mass of glucose = (6× atomic mass of C)+(12× atomic mass of H) +(6× atomic mass of O)

=(6×12u)+(12×1u)+(6×16u)

=180 u

n(number of moles ) = \(Mass \over molar\space mass \)

=\(250\over180\)

=1.39 mol

price of 1.39 mol is 40 rupees , therefore for 1 mol

price for 1 mol of glucose = \(40\times 1\over 1.39\) = 28.8 Rupees

\(\therefore\)** cost per mol of glucose is 28.8 Rs**