A cylinder is closed by a piston connected to a spring of constant 2.30 x 10³ N/m. With the spring relaxed, the cylinder is filled with 5.00 L of gas at a pressure of 1.00 atm and a temperature of 20.0°C. (a) If the piston has a cross-sectional area of 0.0150 m² and negligible mass, how high will it rise when the temperature is raised to 250°C? (b) What is the pressure of the gas at 250°C? Pa

A cylinder is closed by a piston connected to a spring of constant 2.30 x 10³ N/m. With the spring relaxed, the cylinder is filled with 5.00 L of gas at a pressure of 1.00 atm and a temperature of 20.0°C. (a) If the piston has a cross-sectional area of 0.0150 m² and negligible mass, how high will it rise when the temperature is raised to 250°C? (b) What is the pressure of the gas at 250°C? Pa

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

Two glass containers, of equal volume each hold a mole of gas. Container 1 is filled with hydrogen gas (molar mass 2 g / mol), and Container 2 holds helium (molar mass 4 g / mol). If the pressure of the gas in Container 1 equals the pressure of the gas in Container 2, which of the following is true? (a) The temperature of the gas in Container 1 is lower than the temperature of the gas in Container 2. (b) The temperature of the gas in Container 1 is greater than the temperature of the gas in Container 2. (c) The value of R for the gas in Container 1 is ½ the value of R for the gas in Container 2. (d) The rms speed of the gas molecules in Container 1 is lower than the rms speed of the gas molecules in Container 2. (e) The rms speed of the gas molecules in Container 1 is greater than the rms speed of the gas molecules in Container 2.
(a) A tank contains one mole of helium gas at a pressure of 6.35 atm and a temperature of 22.0°C. The tank (which has a fixed volume) is heated until the pressure inside triples. What is the final temperature of the gas? °C (b) A cylinder with a moveable piston contains one mole of helium, again at a pressure of 6.35 atm and a temperature of 22.0°C. Now, the cylinder is heated so that both the pressure inside and the volume of the cylinder double. What is the final temperature of the gas? °C
(a) The temperature of a gas increases from 40.5 K to 73.5 K while its volume remains constant. What is the new pressure? Give your answer as a multiple of the initial pressure P (b) The temperature of a gas increases from 40.5 C to 73.5°C while its volume remains constant. What is the new pressure? Give your answer as a multiple of the initial pressure Pr- Pi
An automobile tire is inflated with air originally at 10.0°C and normal atmospheric pressure. During the process, the air is compressed to 27.0% of its original volume and the temperature is increased to 39.0°C. (a) What is the tire pressure in pascals? Pa (b) After the car is driven at high speed, the tire's air temperature rises to 85.0°C and the tire's interior volume increases by 3.00%. What is the new tire pressure (absolute) in pascals? Pa
If during an expansion process the volume of a gas changes from 0.2 to 0.5 m^3 and pressure changes according to equation P= 1500(v/100+1) where P is in Pa and V is in m^3. What is the work done by gas in kJ?
Step 1 (a) The ideal-gas equation describes each condition of the air in the tire. We will set up ratios in order to describe these changes. Dividing the equations PV = nRT in the initial and final states, we have PfVf Tf P¡Vi Ti Solving for the final pressure in the tire, gives Pf = = = which gives I Tf P(V)() P₁ Vf T₁ = (1.013 x 105 Pa) x 105 Pa. Note that the volume V¡ cancels out of the equation. = Vf Po = Pr (V ( ) ( ) Pd Pf Vi V₁ Step 2 (b) After the car is driven, the temperature and volume of air in the tire have changed. Let Td be the temperature and Vd be the volume of air in the tire. We have PdVd Td PfVf Tf' x 105 Pa 273 + 273 + Vf Vf Again we see that the volume Vf cancels out of the equation. °C K °℃ K = x 105 Pa.
An industrial firm supplies compressed air cylinders of volume 0.25 m3 filled to a pressure of 20×106 Pa at 17 ºC. Calculate the number of moles of air in each cylinder.
A vertical cylindrical tank contains 1.80 mol of an ideal gas tinder a pressure of 0.300 atm at 20.0°C. The round part of the tank has a radius of 10.0 cm, and the gas is supporting a piston that can move up and down in the cylinder without friction. There is a vacuum above the piston. What is the mass of this piston?
VRMS-1 Consider a container of Argon gas at a temperature of 25.0 °C. The mass of an Argon atom is 39.96 AMU, where 1 AMU = 1.66×10-27 kg. (a) What is the average kinetic energy per Argon atom, in Joules (J)? (b) What is the RMS average speed of the Argon atoms, in meters per second (m/s)? (c) What would the temperature of the gas have to be for the RMS average speed to 275 m/s? Give your answer in degrees Celsius (°C).
An ideal gas at 7°C is in a spherical flexible container having a radius of 1.04 cm. The gas is heated at constant pressure to 88°C. Determine the radius of the spherical container after the gas is heated. [Volume of a sphere = (4/3)?r3.]