In an experiment to determine the molar concentration of a standard solution in the laboratory, different volumes of standard sodium hydroxide solution were dried to constant masses. The dried masses(M/g) of the solute sodium hydroxide and the corresponding volumes(V/cm cube) of the standard solution is as follows : Mass of NaOH=8,30,50,70,80 respectively. The volume of solute=40,150,250,350,400,respectively. a. Plot a graph of mass(M/g) on the vertical axis and volume(V/cm cube) on horizontal axis. b.( I) determine the slope of the graph. (Ii) state the significant of the slope. c. From the graph, determine the mass of the solute in 200cm cube of solution. d. Calculate the molar concentration of the sodium hydroxide in the standard solution. (Na=23,O=16,H=1) c.State two precautions to be taken when preparing the standard solution.

Here are the steps to solve the problem: a) Plot a graph of mass (M/g) on the vertical axis and volume (V/cm^3) on the horizontal axis. Step 1: Prepare the axes. Draw a horizontal axis for Volume (V/cm^3) ranging from 0 to at least 400 cm^3. Draw a vertical axis for Mass (M/g) ranging from 0 to at least 80 g. Step 2: Plot the data points. Plot the following points: • (40 cm^3, 8 g) • (150 cm^3, 30 g) • (250 cm^3, 50 g) • (350 cm^3, 70 g) • (400 cm^3, 80 g) Step 3: Draw the line of best fit. Draw a straight line that passes through all the plotted points and extends to the origin (0,0). b) (I) Determine the slope of the graph. Step 1: Choose two points from the line. We can use any two points from the given data, for example, (V_1, M_1) = (40 cm^3, 8 g) and (V_2, M_2) = (400 cm^3, 80 g). Step 2: Calculate the slope. The slope m is given by the formula: m = (M_2 - M_1)/(V_2 - V_1) Substitute the chosen points: m = 80 g - 8 g400 cm^3 - 40 cm^3 m = 72 g360 cm^3 m = 0.2 g/cm^3 The slope of the graph is 0.2 g/cm^3. (II) State the significance of the slope. The slope of the mass versus volume graph represents the mass concentration (or density) of the sodium hydroxide solution. It indicates the mass of NaOH solute present per unit volume of the solution. c) From the graph, determine the mass of the solute in 200 cm^3 of solution. Step 1: Use the equation of the line. Since the graph is a straight line passing through the origin, its equation is M = m × V, where m is the slope. We found the slope m = 0.2 g/cm^3. Step 2: Calculate the mass for 200 cm^3. M = 0.2 g/cm^3 × 200 cm^3 M = 40 g The mass of the solute in 200 cm^3 of solution is 40 g. d) Calculate the molar concentration of the sodium hydroxide in the standard solution. (Na=23, O=16, H=1) Step 1: Calculate the molar mass of NaOH. Molar mass of NaOH = Atomic mass of Na + Atomic mass of O + Atomic mass of H Molar mass of NaOH = 23 g/mol + 16 g/mol + 1 g/mol Molar mass of NaOH = 40 g/mol Step 2: Convert the mass concentration (slope) from g/cm^3 to g/L. Mass concentration = 0.2 g/cm^3 Since 1 L = 1000 cm^3: Mass concentration in g/L = 0.2 g/cm^3 × 1000 cm^3/L Mass concentration in g/L = 200 g/L Step 3: Calculate the molar concentration. Molar concentration = Mass concentration in g/LMolar mass in g/mol Molar concentration = 200 g/L40 g/mol Molar concentration = 5 mol/L The molar concentration of the sodium hydroxide in the standard solution is 5 mol/L. e) State two precautions to be taken when preparing the standard solution. • Ensure the solute (NaOH) is pure and dry before weighing to avoid errors due to impurities or absorbed moisture. • Use a volumetric flask of the correct capacity and ensure the solution is made up to the mark accurately at the meniscus to ensure precise volume measurement. 3 done, 2 left today. You're making progress.