Concept explainers
(a)
The density of particles in the atmosphere of Titan.
Answer to Problem 115QAP
The density of particles in the atmosphere of Titan is
Explanation of Solution
Given info:
Temperature at Titan is,
Pressure at Titan is,
Mass of nitrogen molecule is,
Diameter of the sphere is,
Formula used:
Formula for the ideal gas equation is,
Calculation:
The density of particles can be calculated as,
Conclusion:
Thus, the density of particles in the atmosphere of Titan is
(b)
The body that have denser atmosphere, Titan or Earth.
Answer to Problem 115QAP
Titan has denser atmosphere.
Explanation of Solution
Given info:
Temperature at Titan is,
Pressure at Titan is,
Mass of nitrogen molecule is,
Diameter of the sphere is,
Temperature at Earth is,
Pressure at Earth is,
Formula used:
Formula for the ideal gas equation is,
Calculation:
The particle density on Titan can be calculated as,
The particle density on Earth can be calculated as,
Dividing equation (1) by equation (2), we get
So, the particle density on Titan is
Conclusion:
Thus, Titan has denser atmosphere.
(c)
The average distance that a nitrogen molecule travels between collisions on Titan and compare it with the distance for oxygen.
Answer to Problem 115QAP
The average distance that a nitrogen molecule travels between collisions on Titan is
Explanation of Solution
Given info:
Diameter of the sphere is,
Density of particle at Titan is,
Formula used:
The formula for the mean free path is given as,
Calculation:
The average distance that a nitrogen molecule travels between collisions can be calculated as,
The average distance for oxygen is
The average distance that a nitrogen molecule travels between collisions is not reasonable because it is more than the diameter of the sphere. It shows that there will be no collision between the particles in the atmosphere of Titan.
Conclusion:
Thus, the average distance that a nitrogen molecule travels between collisions on Titan is
Want to see more full solutions like this?
Chapter 14 Solutions
COLLEGE PHYSICS
- At 25.0 m below the surface of the sea, where the temperature is 5.00C, a diver exhales an air bubble having a volume of 1.00 cm3. If the surface temperature of the sea is 20.0C, what is the volume of the bubble just before it breaks the surface?arrow_forwardWhich of the assumptions below is not made in the kinetic theory of gases? (a) The number of molecules is very large. (b) The molecules obey Newtons laws of motion. (c) The forces between molecules are long range. (d) The gas is a pure substance. (e) The average separation between molecules is large compared to their dimensions. (f) of (his account are correct statements necessary for a clear and complete explanation? (ii) Which are correct statements that are not necessary to account for the higher thermometer reading? (iii) Which are incorrect statements?arrow_forwardReview, (a) H it has enough kinetic energy, a molecule at the surface of the Earth can escape the Earths gravitation in the sense that it can continue to move away from the Earth forever as discussed in Section 13.6. Using the principle of conservation of energy, show that the minimum kinetic energy needed for escape is m0gRE where m0 is the mass of the molecule, g is the free-fall acceleration at the surface, and RE is the radius of the Earth, (b) Calculate the temperature for which the minimum escape kinetic energy is ten times the average kinetic energy of an oxygen molecule.arrow_forward
- The pressure gauge on a cylinder of gas registers the gauge pressure, which is the difference between the interior pressure and the exterior pressure P0. Lets call the gauge pressure Pg. When the cylinder is full, the mass of the gas in it is mi at a gauge pressure of Pgi. Assuming the temperature of the cylinder remains constant, show that the mass of the gas remaining in the cylinder when the pressure reading is Pgf is given by mf=mi(Pgf+P0Pgi+P0)arrow_forward(a) Find the density in SI units of air at a pressure of 1.00 atm and a temperature of 20 , assuming that air is 78% N2, 21% O2, and 1% Ar, (b) Find the density of the atmosphere on Venus, assuming that it's 96% CO2 and 4% N2, with a temperature of 737 K and a pressure of 92.0 atm.arrow_forwardAn expensive vacuum System can achieve a pressure as low as 1.00107N/m2 at 20C. How many atoms are there in a cubic centimeter at this pressure and temperature?arrow_forward
- (a) Show that the density of an ideal gas occupying a volume V is given by = PM/KT, where M is the molar mass. (b) Determine the density of oxygen gas at atmospheric pressure and 20.0C.arrow_forwardTwo small containers, each with a volume of 1.00 102cm3, contain helium gas at 0C and 1.00 atm pressure. The two containers are joined by a small open tube of negligible volume, allowing gas to flow from one container to the other. What common pressure will exist in the two containers if the temperature of one container is raised to 1.00 102 C while the other container is kept at 0C?arrow_forwardTwo cylinders A and B at the same temperature contain the same quantity of the same kind of gas. Cylinder A has three times the volume of cylinder B. What can you conclude about the pressures the gases exert? (a) We can conclude nothing about the pressures. (b) The pressure in A is three times the pressure in B. (c) The pressures must be equal. (d) The pressure in A must be one-third the pressure in B.arrow_forward
- The number density N/V of gas molecules at a certain location in the space above our planet is about 1.001011 m3 , and the pressure is 2.751010 N/m2 in this space. What is the temperature there?arrow_forwardA cubic container of volume 2.00 L holds 0.500 mol of nitrogen gas at a temperature of 25.0 . What is the net force due to the nitrogen on one wall of the container? Compare that force to the sample's weight.arrow_forwardThe number density of gas atoms at a certain location in the space above our planet is about 1.001011m3, and the pressure is 2.751010N/m2 in this space. What is the temperature there?arrow_forward
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
- College PhysicsPhysicsISBN:9781938168000Author:Paul Peter Urone, Roger HinrichsPublisher:OpenStax CollegePhysics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningCollege PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning