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Questions 7-8: In the Ideal Gas Law experiment, the volume of the air in the cyl

ID: 1872372 • Letter: Q

Question

Questions 7-8: In the Ideal Gas Law experiment, the volume of the air in the cylinder is changed by adding weights to the moveable piston. The piston itself has a mass of 35 grams with a diameter of 32.5 mm. For the 80 g, mass added to the piston, an air column length of 58.1 mm was recorded. See next page for helpful formulas. SI Pressure Units: 1 Pa 1 N/m. 7. What is the cross-sectional area of the piston in units of meters squared (m')? Show your work. 8. For the 80 g added mass (added to the piston), what is the total pressure of the gas inside the cylinder if the atmospheric pressure is 1.000x103 Pa? Show your work.

Explanation / Answer

Piston dia = 32.5 mm = 3.25 cm

cross sectional area   A = pi r2 = 3.14 *(0.0325)2 = 3.32e-3 m2

mass of piston = 35 gms

mass added = 80 gms

total weight = 9.8(0.080+0.035) = 1.127 N

Pressure = Force /unit area = 1.127/3.32e-3 = 3.32e+2 N/sq.m = 332 Pa

Total pressure on the gas = 1.0 e+5 +332 = 100332 Pa