Final answer:
To calculate the height of a carbon tetrachloride column that exerts a pressure of 1 atm, the equation h = P / (dg) is used. After substituting the given values for pressure, density, and gravitational acceleration, the calculated height is approximately 6.46 meters. The closest choice given is 6.25 meters, making it the correct answer.
Step-by-step explanation:
The question asks for the height of a carbon tetrachloride column that would exert a pressure of 1 atmosphere (atm) using the equation for hydrostatic pressure, P = hdg, where P is the pressure, h is the height of the liquid column, d is the density of the liquid, and g is the acceleration due to gravity. To find the height, we rearrange the equation: h = P / (dg). Given that 1 atm = 101,325 Pa, the density of carbon tetrachloride is 1.584 g/cm3 (which is 1584 kg/m3 when converted to SI units), and g is 9.80665 m/s2, we can calculate the height of the column.
By plugging the values into the rearranged equation, we get h = 101,325 / (1584 * 9.80665), which yields a height of approximately 6.46 meters. However, since this is not an option provided, we need to look at the closest available choice, which is 6.25 meters. Therefore, the most accurate answer from the given choices would be option (a) 6.25 m.