GENERAL OPERATIONS 35 Weighing.—From all of the foregoing discussion it will be seen that every analytical determination involves, at some point, obtaining an accurate estimation of weights. Even the volumet- ric process requires weighing the sample and a weight is usually involved, directly or indirectly,, in the standardization of the solutions used for the titrations. It is obvious from this that an accurately constructed weighing apparatus is a necessary part of the equipment of the analytical laboratory. Methods of Weighing.—Any method that depends upon the attainment of equilibrium between the force of gravity and the PIG. 15.—Essential parts of the balance. resistance to distortion of a spring is necessarily subject to considerable and variable errors. These are chiefly due to varia- tions in (a) elasticity of the spring and (5) the value of gravity for different altitudes. The only method that is free from these errors is weighing on a balance, a standard mass being compared with the object to be weighed and the former being varied until equilibrium is attained. The Balance.—The analytical balance should be so constructed as to provide means for accurate weighing to one ten-thousandth