College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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A sealed cubical container 30.0 cm on a side contains three times
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- An automobile tire is inflated with air originally at 10.0°C and normal atmospheric pressure. During the process, the air is compressed to 31.0% of its original volume and the temperature is increased to 48.0°C. (a) What is the tire pressure in pascals?(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?arrow_forwardA 40.0g projectile is launched by the expansion of hot gases as shown. The cross sectional area of the launch tube is 1.0cm^2 and the length the projectile travels down the tube is 32cm. As the gas expands, the pressure and volume varies as shown. The initial pressure and volume are 11e5 Pa, and 8.0cm^3, and the final pressure and volume is 1.0e5Pa and 40.0cm^3. Friction with the launch tube is negligible. a) If the projectile is fired into vacuum, what is the speed of the projectile when it leaves the tube? b) If the projectile is launched into a room where the air pressure is 1.0e5Pa, how much energy is spent pushing the air out of the way as the projectile moves down the barrel? (Hint: What is the work exerted on the projectile by the air in the room? Also, think about which thermodynamic variable(s), describing the air in the room, you can approximate as constant.) Answer both partsarrow_forwardAn 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? Paarrow_forward
- If 2.00 mol of nitrogen gas (N2) are placed in a cubic box, 34.0 cm on each side, at 2.50 atm of pressure, what is the rms speed of the nitrogen molecules? 730.13 * m/sarrow_forwardStep 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.arrow_forwardIf 1.2 mol of oxygen gas is confined in a 10-L bottle under a pressure of 3.0 atm , what is the average translational kinetic energy of an oxygen molecule? Express your answer using two significant figures. Hν ΑΣφ к- J Submit Request Answerarrow_forward
- There are 1.5 times as many molecules as Avogadro's number at a temperature of 2.1°C inside a sealed cube with dimensions 3.0 cm ✕ 3.0 cm ✕ 3.0 cm. How much force does the gas exert on one of the walls of the cube?arrow_forward5.0 moles of an ideal gas are confined to a 15-liter container at a pressure of 2.6x105 Pa. What is the temperature of the gas?arrow_forward
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