Question

1. The drawing shows an ideal gas confined to a cylinder by a massless piston that is attached to an ideal spring. Outside the cylinder is a vacuum. The cross-sectional area of the piston is A = 2.50 × 10-3 m2. The initial pressure, volume, and temperature of the gas are, respectively, P0, V0 = 6.00 × 10-4 m3 and T0 = 273 K, and the spring is initially stretched by an amount x0 = 0.092 m with respect to its unstrained length. The gas is heated, so that its final pressure, volume, and temperature are Pf, Vf and Tf and the spring is stretched by an amount xf = 0.13 m with respect to its unstrained length. What is the final temperature of the gas?

2. A container holds 1.2 mol of gas. The total average kinetic energy of the gas molecules in the container is equal to the kinetic energy of a 8.4x10-3 kg bullet with a speed of 620 m/s. What is the Kelvin temperature of the gas?

Piston

3. Carbon tetrachloride (CCl4) is diffusing through benzene (C6H6), as the drawing illustrates. The concentration of CCl4 at the left end of the tube is maintained at 1.40 x 10-2 kg/m3, and the diffusion constant is 18.2 x 10-10 m2/s. The CCl4 enters the tube at a mass rate of 5.13 x 10-13 kg/s. Using these data and those shown in the drawing, find (a) the mass of CCl4 per second that passes point A and (b) the concentration of CCl4 at point A.

Answer 1

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Soll 2 moles of gas 1=1.2 mole -23 baltzmann' constan ke 138 810-3 + Moys bullet M = 8.4810 3 kg Speed of bullet u 620 m/s. Cas constant R=8-314 Il mol! gos in Conside the So f = 3 Container i monoabomic. then FORT & 1 mv² 2 3 x 1.208.314 XI - 2 معاركهاياع 2 IT 107.88 W/ required tempadre