Sample problems of Graphical and analytical methods are Vector addition and subtraction. These could be done in a analytical or graphical methodologies.
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Graphical method sample problem: Find the solution to the system of equations: 2x + 3y = 12 x - y = 3 Analytical method sample problem: Solve the system of equations using substitution method: 3x + 2y = 11 4x - 5y = -7
Weighing by difference involves weighing a sample both before and after a process to determine the mass change due to the process. The difference in mass is the desired quantity being measured. This method is commonly used in analytical chemistry for accurate determination of constituents in a sample.
Spectrometry and spectrophotometry are both techniques used in analytical chemistry to measure the interaction of light with matter. Spectrometry involves measuring the intensity of light at different wavelengths to identify and quantify substances in a sample. Spectrophotometry, on the other hand, specifically measures the amount of light absorbed or transmitted by a sample at a particular wavelength, providing information about the concentration of a substance in the sample. Both techniques are valuable in identifying and quantifying substances in a sample, with spectrophotometry being more focused on measuring the concentration of a specific substance.
Some sample problems in free falling bodies include determining the time it takes for an object to fall a certain distance, calculating its final velocity upon impact with the ground, and finding the height from which an object was dropped based on its impact velocity. These problems typically involve using equations of motion like the kinematic equations to solve for various unknown quantities.
One method to determine the magnetic susceptibility of FeCl3 is by using a magnetic balance to measure the weight change of a sample before and after applying a magnetic field. Another method is by using a vibrating sample magnetometer to measure the magnetization of the sample as a function of an applied magnetic field. Finally, one can also use SQUID (Superconducting Quantum Interference Device) magnetometry to determine the magnetic susceptibility of FeCl3 accurately at low temperatures.
A spectrometer measures the intensity of light at different wavelengths, while a spectrophotometer measures the amount of light absorbed or transmitted by a sample at specific wavelengths. The main difference is in the type of data they provide - spectrometers give information on the intensity of light, while spectrophotometers give information on the absorption or transmission of light by a sample. This impacts their applications in analytical chemistry as spectrometers are used for qualitative analysis, such as identifying substances based on their unique light absorption patterns, while spectrophotometers are used for quantitative analysis, such as measuring the concentration of a substance in a sample based on its light absorption.