Neco 2025 Physics Question 48

In a laboratory experiment a student determines the density of an unknown liquid using a 100 mL graduated cylinder (scale uncertainty \(\pm1\ \text{mL}\)) and an electronic balance (reading uncertainty \(\pm0.01\ \text{g}\)). The empty cylinder mass is \(45.00\ \text{g}\). After filling the cylinder with the liquid, the mass reads \(123.45\ \text{g}\) and the volume reading is \(78\ \text{mL}\). (i) Calculate the density of the liquid (in \(\text{g\,mL}^{-1}\)) and its absolute uncertainty using propagation of errors. (ii) The accepted density of the liquid is \(1.00\ \text{g\,mL}^{-1}\). State whether the experimental result agrees with the accepted value within the calculated uncertainty.