An ideal gas is in a chamber at a pressure of 2.00 MPa and has a volume of 20.0 liters when at a temperature of 298.15 K. Determine the number of moles of gas in the chamber.
The number of moles of gas in a chamber at a pressure of
Answer to Problem 19SP
Solution:
Explanation of Solution
Given data:
The pressure of the gas is
The volume of the ideal gas is
The temperature of the ideal gas is
Formula used:
From ideal gas law,
Here,
Explanation:
Recall the expression obtained from ideal gas law:
Rearrange for number of moles of the gas:
Substitute
Conclusion:
The number of the moles of the gas in the chamber is
Want to see more full solutions like this?
Chapter 16 Solutions
Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)
- (a) An ideal gas occupies a volume of 1.0 cm3 at 20.C and atmospheric pressure. Determine the number of molecules of gas in the container, (b) If the pressure of the 1.0-cm3 volume is reduced to 1.0 1011 Pa (an extremely good vacuum) while the temperature remains constant, how many moles of gas remain in the container?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_forwardOn a hot summer day, the density of air at atmospheric pressure at 35.0C is 1.1455 kg/m3. a. What is the number of moles contained in 1.00 m3 of an ideal gas at this temperature and pressure? b. Avogadros number of air molecules has a mass of 2.85 102 kg. What is the mass of 1.00 m3 of air? c. Does the value calculated in part (b) agree with the stated density of air at this temperature?arrow_forward
- (a) An ideal gas occupies a volume of 1.0 cm3 at 20.C and atmospheric pressure. Determine the number of molecules of gas in the container, (b) If the pressure of the 1.0-cm3 volume is reduced to 1.0 1011 Pa (an extremely good vacuum) while the temperature remains constant, how many moles of gas remain in the container?arrow_forwardA 10.0 L container contains a certain gas at a temperature of 25.0◦C and pressure of 9.50 atm. Calculate the number of moles of gas in the container.arrow_forwardThe pressure P (in kilopascals), volume V (in liters), and temperature T (in kelvins) of a mole of an ideal gas are related by the equation PV = 8.31T. Find the rate at which the volume is changing when the temperature is 270 K and increasing at a rate of 0.2 K/s and the pressure is 28 and increasing at a rate of 0.08 kPa/s. L/sarrow_forward
- n = 3.9 moles of an ideal gas are pumped into a chamber of volume V = 0.135 m3 50% Part (a) The initial pressure of the gas is 1 atm. What is the initial temperature (in K) of the gas? T = 421.76T = 421.8 ✔ Correct! 50% Part (b) The pressure of the gas is increased to 10 atm. Now what is the temperature (in K) of the gas?arrow_forwardFour closed tanks, A, B, C, and D, each contain an ideal gas. The table gives the absolute pressure and volume of the gas in each tank. In each case, there is 0.19 mol of gas. Using this number and the data in the table, compute the temperature of the gas in each tank. Absolute pressure (Pa) Volume (m³) A 25.0 4.0 B 30.0 5.0 C 20.0 5.0 D 2.0 75arrow_forwardA balloon containing 2 moles of an ideal gas at 428.94 K. Another 1 mole of the ideal gas is added to the balloon while holding the volume and pressure constant. What is the resulting temperature? Report your answer in K.arrow_forward
- Problem 5: n = 3.9 moles of an ideal gas are pumped into a chamber of volume V = 0.094 m3. Part (a) The initial pressure of the gas is 1 atm. What is the initial temperature (in K) of the gas? 50% Part (b) The pressure of the gas is increased to 10 atm. Now what is the temperature (in K) of the gas?arrow_forwardProblem 6: Suppose a 26.5°C car tire contains 3.5 mol of gas in a 32.5 L volume. Part (a) What is the gauge pressure, in atmospheres, in the car tire? Pg1 = Part (b) What will the gauge pressure be if you add a quantity of gas that had a volume of 2.00L when it was at atmospheric pressure and the same temperature as the tire? Assume the temperature returns to 26.5°C and the volume remains constant.arrow_forwardStandard temperature and pressure (STP) is defined as a temperature of 0 °C and a pressure of 101.3 kPa. What is the volume occupied by one mole of an ideal gas at STP?arrow_forward
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningCollege PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningCollege PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
- Physics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning