Problem 46
You decide to establish a new temperature scale on which the melting point of ammonia \(\left(-77.75^{\circ} \mathrm{C}\right)\) is \(0^{\circ}\) A and the boiling point of ammonia \(\left(-33.35^{\circ} \mathrm{C}\right)\) is \(100^{\circ}\) A. What would be (a) the boiling point of water in \(^{\circ}$$\text{A}\); and (b) the temperature of absolute zero in \(^{\circ}$$\text{A}\)?
Problem 47
A 2.18 L sample of butyric acid, a substance present in rancid butter, has a mass of 2088 g. What is the density of butyric acid in grams per milliliter?
Problem 48
A 15.2 L sample of chloroform at \(20^{\circ} \mathrm{C}\) has a mass of 22.54 kg. What is the density of chloroform at \(20^{\circ} \mathrm{C}\), in grams per milliliter?
Problem 50
To determine the volume of an irregularly shaped glass vessel, the vessel is weighed empty \((121.3 \mathrm{g})\) and when filled with carbon tetrachloride (283.2 g). What is the volume capacity of the vessel, in milliliters, given that the density of carbon tetrachloride is \(1.59 \mathrm{g} / \mathrm{mL} ?\)
Problem 51
A solution consisting of \(8.50 \%\) acetone and \(91.5 \%\) water by mass has a density of \(0.9867 \mathrm{g} / \mathrm{mL} .\) What mass of acetone, in kilograms, is present in 7.50 L of the solution?
Problem 52
A solution contains \(10.05 \%\) sucrose (cane sugar) by mass. What mass of the solution, in grams, is needed for an application that requires \(1.00 \mathrm{kg}\) sucrose?
Problem 53
A fertilizer contains \(21 \%\) nitrogen by mass. What mass of this fertilizer, in kilograms, is required for an application requiring \(225 \mathrm{g}\) of nitrogen?
Problem 54
A vinegar sample is found to have a density of \(1.006 \mathrm{g} / \mathrm{mL}\) and to contain \(5.4 \%\) acetic acid by mass. How many grams of acetic acid are present in \(1.00 \mathrm{L}\) of this vinegar?
Problem 55
Calculate the mass of a block of iron \(\left(d=7.86 \mathrm{g} / \mathrm{cm}^{3}\right)\) with dimensions of \(52.8 \mathrm{cm} \times 6.74 \mathrm{cm} \times 3.73 \mathrm{cm}\).
Problem 56
Calculate the mass of a cylinder of stainless steel \(\left(d=7.75 \mathrm{g} / \mathrm{cm}^{3}\right)\) with a height of \(18.35 \mathrm{cm}\) and a radius of \(1.88 \mathrm{cm}\).