Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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Chapter 17, Problem 49P
To determine
The temperature at absolute zero in
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The number density of gas atoms at a certain location in the space above our planet is about 1.40 ✕ 1011 m−3, and the pressure is 1.10 ✕ 10−10 N/m2 in this space. What is the temperature (in °C) there?
The number density of gas atoms at a certain location in the space above our planet is about 1.00 X 1011 m-3 and the pressure is 2.75 X 10-10 N/m2 in this space. What is the temperature there?
How many molecules are in a typical object, such as gas in a tire or water in a drink? We can use the ideal gas law to give us an idea of how large N typically is.Calculate the number of molecules in a cubic meter of gas at standard temperature and pressure (STP), which is defined to be 0ºC and atmospheric pressure.
Chapter 17 Solutions
Physics for Scientists and Engineers
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- The ideal gas law relates the pressure P, volume V, and temperature T of an ideal gas: PV = nRT where n is the number of moles and R = 8.3145 J/(K mol). Plots of pressure versus volume at constant temperature are called isotherms. Plot the isotherms for one mole of an ideal gas for volume ranging from 1 to 10 m', at tempera- tures of T = 100, 200, 300, and 400 K (four curves in one plot). Label the axes and display a legend. The units for pressure are Pa. n=1arrow_forwardWhat is the volume of a container that holds exactly 1 mole of anideal gas at standard temperature and pressure (STP), defined asT = 0°C = 273.15 K and p = 1 atm = 1.013 * 105 Pa?arrow_forwardIf a certain amount of ideal gas occupies a volume V at STP on earth, what would be its volume (in terms of V) on Venus, where the temperature is 1003°C and the pressure is 92 atm?arrow_forward
- The mean free path of nitrogen molecules at 0.0C and1.0 atm is 0.80 * 10-5 cm. At this temperature and pressure thereare 2.7 *10^19 molecules/cm3.What is the molecular diameter?arrow_forwardA container holds 2.5 moles of an ideal gas at a pressure of 3.5 atmospheres and a temperature of 300 Kelvin. If the volume of the container is 10 liters, what is the value of the gas constant (R) in J/(mol·K)?arrow_forwardA rigid container holds hydrogen gas at a pressure of 3.1 atm and a temperature of 50 ∘C. What will the pressure be if the temperature is lowered to -50 ∘C?arrow_forward
- What is the RMS speed of Helium atoms when the temperature of the Helium gas is 312.0 K? (Possibly useful 1.66x10-27 kg, Boltzmann's constants: the atomic mass of Helium is 4.00 AMU, the Atomic Mass Unit is: 1 AMU constant is: kg = 1.38×10-23 J/K.) kB Submit Answer Tries 0/12 What would be the RMS speed, if the temperature of the Helium gas was doubled? Submit Answer Tries 0/12 =arrow_forwardQuestion 2. 1.60 x 106 Pa. Find (a) the temperature of the gas and (b) the average kinetie energy of a gas molecule in the vessel. (c) If the volume is increased to 9.00 L and the temperature is kept constant, what is the new pressure (in Pa)? A 7.00-L vessel contains 3.50 moles of ideal gas at a pressure ofarrow_forwardThe mean free path for a gas, with molecular diameter d and number density n can be expressed as: /2nnd 1 V2nnd? 1. V2n?nd? 1 V2n?n?d?arrow_forward
- The average speed of a gas molecule in meters per second is ????=8????⎯⎯⎯⎯⎯⎯⎯√,vavg=8RTπM, where the temperature ?T is given in kelvins, the molar mass ?M is given in kilogram–moles, and ?=8.31.R=8.31. Calculate ???????dvavgdT at ?=300 KT=300 K for oxygen, which has a molar mass of 0.032 kg/mol.arrow_forwardThe number density of gas atoms at a certain location in the space above our planet is about 1.1 × 1011 m-3, and the pressure is 2.55 × 10-10 Pa in this region. What is the temperature in this region, in degrees Celsius?arrow_forwardProblem 1: Consider the two-sided chamber shown,where the right half has a volume of V = 590 L and the left half has a volume of 2V. The chamber has a seal which separates the right from the left half. The chamber is sealed and an ideal gas is pumped into the right side at a pressure P= 6.4 atm and temperature T= 78° C. The seal between the two sides is then opened. 2V V Part (a) If the physical temperature decreases by a factor of 2 while the gas fills the chamber, what is the new pressure, in kilopascals? P'= sin() cos() tan() 7 8 HOME cotan() asin() acos() 5 atan() acotan() sinh() 1 2 3 cosh() tanh() cotanh() + END ODegrees O Radians Vol BACKSPACE CLEAR Submit I give up! Hint Feedback Part (b) The chamber is then sealed again, trapping 2/3 of the gas molecules in the left side. The temperature of the left side is then doubled, back to the original temperature T. What is the pressure in the left side of the chamber now, in kilopascals?arrow_forward
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