1. The pressure gauge shown in Figure 1 consists of a spring inside a vacuum chamber. The chamber is isolated from the environment by a piston, which is free to move up or down. Ambient pressure exerts a force on the piston, which compresses the spring. The piston has a diameter of 30 mm. At sea level, where ambient pressure is 1 atm, the spring is compressed by distance xo = 14 mm relative to its relaxed length. Suppose the pressure gauge is lowered into water at a lake. At depth D, the spring is compressed by distance x1 = 34 mm relative to its relaxed length. Calculate D. Show and explain your work. Vacuum Figure 1

A cylinderis fitted with a piston beneath which is a spring, as in the attachment.  The cylinder is open to the air at the top.  The sprink constant is 4300 N/m. The piston has negligible mass and a radius of 0.032.  When the air beneath the piston is completely pumped out, how much does the atmospheric pressure cause the spring to compress? How much work does the atmospheric pressure do in compressing the spring.

The rms speed of the molecules in 1.2 g of hydrogen gas is 1800 m/s. Part A What is the total translational kinetic energy of the gas molecules? Express your answer with the appropriate units. Etotal = 1.9 kJ Submit ✓ Correct Part B Previous Answers What is the thermal energy of the gas? Express your answer with the appropriate units. Eth = 1944 Submit μA Previous Answers Request Answer

A cylinder containing ideal gas is sealed by a piston that is above the gas. The piston is a cylindrical object, with a weight of 22.0 N, which can slide up or down in the cylinder without friction. The inner radius of the cylinder, and the radius of the piston, is 8.00 cm. The top of the piston is exposed to the atmosphere, and the atmospheric pressure is 101.3 kPa. The cylinder has a height of 30.0 cm, and, when the temperature of the gas is 20°C, the bottom of the piston is 11.0 cm above the bottom of the cylinder. (A) Find the number of moles of ideal gas in the cylinder. (B) Heat is added, gradually raising the temperature of the gas to 160°C. Calculate the distance between the bottom of the cylinder and the bottom of the piston when the piston comes to its new equilibrium position.

Problem 5:   n = 3.9 moles of an ideal gas are pumped into a chamber of volume V = 0.094 m3. Part (a)  The initial pressure of the gas is 1 atm. What is the initial temperature (in K) of the gas?  50% Part (b)  The pressure of the gas is increased to 10 atm. Now what is the temperature (in K) of the gas?

A hand-driven tire pump has a piston with a 2.00 cm diameter and a maximum stroke of 25.0 cm.   a. How much work (in J) do you do in one stroke if the average gauge pressure is 2.40 ✕ 105 N/m2 (about 35 psi)?   b. What average force (in N) do you exert on the piston, neglecting friction and gravity?