Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)
12th Edition
ISBN: 9781259587399
Author: Eugene Hecht
Publisher: McGraw-Hill Education
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Chapter 17, Problem 19SP
To determine
To show: That the root mean square velocity is equal to
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Hi, could I get some help with this macro-connection physics problem involving moles and the Ideal Gas Law?
The set up is:
How many moles are there in a cubic meter of an ideal gas at 100 degree celsius (C) to 4 digits of precision with a pressure of 0.25 atm, assuming 1 atm = 101325 N/m2 with kB = 1.38e-23 J/K and NA = 6.022e23?
Thank you.
Help please answer this calculus Question:
The pressure P and volume V of an expanding gas are related by the formula PV^b =c, where b and C are constants (this holds in adiabatic expansion, with or without loss). Find the dP/dt if b=1.6, P=10 kPa, V=60 cm^3, and dV/dt =80 cm^3/min. (Use symbolic notation and fractions where needed).
(a) Calculate the volume occupied by 1.00 mol of an ideal gas at a pressure of 1.00 atm (1.01 · 10^5
N/m^2 ) and temperature 0°C (273 K). (b) How many molecules are there per cubic centimater at these
conditions? (This is called the Loschmidt number.)
Chapter 17 Solutions
Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)
Ch. 17 - Prob. 13SPCh. 17 - 17.14 [II] A typical polymer molecule in...Ch. 17 - 17.15 [II] A certain strain of tobacco mosaic...Ch. 17 - 17.16 [I] If the Celsius temperature of a gas...Ch. 17 - 17.17 [I] What happens to the average kinetic...Ch. 17 - 17.18 [I] The absolute temperature of a sample of...Ch. 17 - Prob. 19SPCh. 17 - Prob. 21SPCh. 17 - Prob. 22SPCh. 17 - Prob. 23SP
Ch. 17 - Prob. 24SPCh. 17 - Prob. 25SPCh. 17 - Prob. 26SPCh. 17 - Prob. 27SPCh. 17 - Prob. 28SPCh. 17 - 17.29 [II] In a certain region of outer space...Ch. 17 - 17.30 [II] A cube of aluminum has a volume of 1.0 ...Ch. 17 - 17.31 [II] The rms speed of nitrogen molecules in...Ch. 17 - 17.32 [II] What is the mean free path of a gas...
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- The volume V of an ideal gas varies directly with the temperature T and inversely with the pressure P. If a cylinder of 50 liters contains oxygen at a temperature of 200 K and a pressure of 5 atmospheres, what would the gas pressure be if the volume was changed to 30 liters and the temperature raised to 240 K?arrow_forwardA (1.1x10^1) liter bottle is filled with nitrogen (N2) at STP (Standard Temperature and Pressure is 1 atm and 273 K) and closed tight. If the temperature is raised to 100° C, what will be the new pressure in SI units to two significant figures. Note: Your answer is assumed to be reduced to the highest power possible. Your Answer: x10 Answerarrow_forwardHi, could I get some help with this macro-connection physics problem involving the Ideal Gas Law? The set up is: What is the average volume in nm3 (cubic nanometers) taken up by molecules of an ideal gas at room temperature (taken as 300 K), and 1 atm of pressure or 101325 N/m2 to 4 digits of precision if kB = 1.38e-23 J/K and 1 nm = 10-9 m? Thank you.arrow_forward
- Using MATLAB editor, make a script m-file which includes a header block and comments: Utilizing the ideal gas law: Vmol= RT/P Calculate the molecular volume where: R = 0.08206 L-atm/(mol-K) P = 1.015 atm. and T = 270 - 315 K in 5 degree increments Make a display matrix which has the values of T in the first column and Vmol in the second column Save the script and publish function to create a pdf file from the script in a file named "ECE105_Wk2_L1_Prep_1"arrow_forwardConsider a planetary atmosphere consisting of an ideal gas of atoms, each of mass m. The temperature T is regarded to be constant, independent of the height z above ground level. The acceleration of gravity g is constant, and the pressure at ground level is Po. Find the pressure as a function of z. (Hint: consider a thin slab of the atmosphere, and write and solve a simple differential equation.)arrow_forwardHi, could I get some help with this micro-macro connection physics problem involving root mean square speed? The set up is: What is the rms speed (in m/s) of a helium-3 atom in an ideal gas at a room temperature of 300 kelvin (K) to 4 digits of precision if kB = 1.38e-23 J/K, and the mass of helium-3 is 3.016 u, where the atomic mass unit u = 1.66e-27 kg? Thank you.arrow_forward
- You are studying a gas known as "gopherine" and looking in the literature you find that someone has reported the partition function for one molecule of this gas, 5/2 AzT q(V, T) = ) %3D h?m Assume that the molecules are independent and indistinguishable. Derive the expressions for the energy, (E), for this gas. Give your answers in terms of N, kg, T. V and the constants A and B. O (E) = NkaT ㅇ (E) =D NkaT ㅇ (E) %3D NkaT- O (E) = ANKET - O (E) = - T ㅇ (E)=D 쑤-arrow_forwardAn ideal gas in a 1.25-gallon[gal] container is at a temperature of 135 degrees Celsius [°C] and pressure of 2.4 atmospheres [atm]. If the gas is oxygen (formula: O2, molecular weight=32 grams per mole [g/mol]), what is the amount of gas in the container in units of grams [g]?arrow_forwardThe pressure, volume, and temperature of a mole of an ideal gas are related by the equation PV = 8.31T, where P is measured in kilopascals, V in liters, and T in kelvins. Use differentials to find the approximate change in the pressure if the volume increases from 10 L to 10.6 L and the temperature decreases from 335 K to 330 K. (Note whether the change is positive or negative in your answer. I Round your answer to ti decimal places.arrow_forward
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