Pasco capstone software and 850 universal interface

Where m = mass of piston, A = cross-sectional area of piston, P = atmospheric pressure, and the slope is from the graph of h vs. Solving equation (12) for the ratio of specific heats gives Thus, if the piston height is plotted versus the square of the period, the resulting graph will be a straight line withДЄnd y-intercept h o. Substituting in for the volume and solving for the height of the piston, h, gives The total volume is A(h+h o), where h is the height measured on the labeled scale and h o is the unknown height below zero on the label. Substituting into the period equation for k gives Taking a derivative of Equation (2) gives Thus the process is adiabatic andДЇor a diatomic gas, C V = 5/2 R and C P = 7/2 R, so Оі= 7/5. To find a relationship between dP and dV, we assume that if the oscillations are small and rapid, no heat is gained or lost by the gas. The resulting force on the piston is given by F = (dP)A where dP is the small change in pressure. When the piston is displaced downward a distance x, the volume decreases by a very small amount compared to the total volume: dV = xA where A is the cross-sectional area of the piston. To determine the spring constant, k, for air, calculate the force when the piston is displaced a distance x. The period of oscillation of a mass on a spring (or for the piston and air) is The piston acts as the mass and the air acts as the spring. Just like a mass on a spring, the piston will oscillate.

If the piston is displaced downwards a distance x, there will be a restoring force which forces the piston back toward the equilibrium position.

Gamma, the ratio of specific heat, can be determined by measuring the period of oscillation. The piston will then oscillate about the equilibrium position. In Ruchhardt's Method, a cylinder of gas is compressed adiabatically by plucking the piston.

The ratio of specific heat capacities is calculated using the period of oscillation, according to Ruchhardt's method. The oscillating pressure is recorded as a function of time and the period is determined. The piston is plucked by hand and allowed to oscillate. Ratio of Specific Heats of a Gas EX-5531 Page ofДЄ cylinder is filled with air and a Pressure Sensor is attached.

Pasco capstone software and 850 universal interface