2. An ideal gas is trapped in a stationary container with the help of a piston and there is a small hole in the container through which the gas leaks If by heating the gas and simultaneously pushing the piston into container, temperature and pressure of the gas is increased to 4 times and 8 times respectively of their initial values, how many times does the rate of leakage of the gas (i.e, number of molecules leaking per second) change?

2. An ideal gas is trapped in a stationary container with the help of a piston and there is a small hole in the container through which the gas leaks If by heating the gas and simultaneously pushing the piston into container, temperature and pressure of the gas is increased to 4 times and 8 times respectively of their initial values, how many times does the rate of leakage of the gas (i.e, number of molecules leaking per second) change?

Physics for Scientists and Engineers, Technology Update (No access codes included)

9th Edition

ISBN:9781305116399

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter19: Temperature

Section: Chapter Questions

Problem 19.26P: A rigid lank contains 1.50 moles of an ideal gas. Determine the number of moles of gas that must be...

See similar textbooks

Similar questions

Two 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?
Find the number of moles in 2.00L of gas at 35.0C and under 7.41107N/m2 of pressure.
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)
Suppose a gasfilled incandescent light bulb is manufactured so that the gas inside the bulb is at atmospheric pressure when the bulb has a temperature of 20.0C. (a) Find the gauge pressure inside such a bulb when it is hot, assuming its average temperature is 60.0C (an approximation) and neglecting any change in volume due to thermal expansion or gas leaks. (b) The actual final pressure for the light bulb will be less than calculated in part (a) because the glass bulb will expand. What will the actual final pressure be, taking this into account? Is this a negligible difference?
Two 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.
A gas follows on an isothermal curve, where p is the pressure, V is the volume, b is a constant, and c is a function of temperature. Show that a temperature scale under an isochoric process can be established with this gas and is identical to that of an ideal gas.
A sample of a diatomic ideal gas has pressure P and volume V. When the gas is warmed, its pressure triples and its volume doubles. This warming process includes two steps, the first at constant pressure and the second at constant volume. Determine the amount of energy transferred to the gas by heat.
(a) What is the gauge pressure in a 25.0 cc car tire containing 3.60 mol of gas in a 30.0-L volume? (b) What will its gauge pressure be if you add 1.00 L of gas originally at atmospheric pressure and 25.0 ? Assume the temperature remains at 25.0 cc and the volume remains constant.
A cylinder with a piston contains a sample of a thin gas. The kind of gas and the sample size can be changed. The cylinder can be placed in different constant-temperature baths, and the piston can be held in different positions. Rank the following cases according to the pressure of the gas from the highest to the lowest, displaying any cases of equality, (a) A 0.002-mol sample of oxygen is held at .300 K in a 100-cm3 container. (b) A 0.002-mol sample of oxygen is held at 600 K in a 200-cm3 container, (c) A 0.002-mol sample of oxygen is held at 600 K in a 300-cm3 container, (d) A 0.004-mol sample of helium is held at .300 K in a 200-cm3 container, (e) A 0.004-mol sample of helium is held at 250 K in a 200-cm3 container.
A deepsea diver should breathe a gas mixture that has the same oxygen partial pressure as at sea level, where dry air contains 20.9% oxygen and has a total pressure of 1.01105N/m2. (a) What is me partial pressure of oxygen at sea level? (b) If the diver breathes a gas mixture at a pressure of 2.00106N/m2, what percent oxygen should it be to have the same oxygen partial pressure as at sea level?
When we use the ideal gas law, the temperature must be in which of the following units? (5.6) (a) C (b) F (c) K
A high—pressure gas cylinder contains 50.13L of toxic gas at a pressure of 1.40107N/m2 and a temperature of 25.0C. Its value leaks after the cylinder is dropped. The cylinder is cooled to dry ice temperature (78.5C) to reduce the leak rate and pressure so that it can be safely repaired. (a) What is the final pressure in the tank, assuming a negligible amount of gas leaks while being cooled and that there is no phase change? (b) What is the final pressure it onetenth of the gas escapes? (c) To what temperature must the tank be cooled to reduce the pressure to 1.00 atm (assuming the gas does not change phase and that there is no leakage during cooling)? (d) Does cooling the tank appear to be a practical solution?