A bottle of volume V = 0.15 m³ contains helium gas (a monatomic gas) at a pressure p = 722,266 Pa (Pascal = N/m² and temperature T = 300 K. Calculate a numerical value for the internal energy U of this gas. Include units in your answer, using Sl units (m for meters, kg for kilograms, s for seconds, J for joules, K for kelvin, etc.). Write your answer as an exponential as described in the instructions.

A bottle of volume V = 0.15 m³ contains helium gas (a monatomic gas) at a pressure p = 722,266 Pa (Pascal = N/m² and temperature T = 300 K. Calculate a numerical value for the internal energy U of this gas. Include units in your answer, using Sl units (m for meters, kg for kilograms, s for seconds, J for joules, K for kelvin, etc.). Write your answer as an exponential as described in the instructions.

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter13: Temperature, Kinetic Theory, And The Gas Laws

Section: Chapter Questions

Problem 27PE: In the text, it was shown that N/V=2.681025m3 for gas at STP. (a) Show that this quantity is...

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In the text, it was shown that N/V=2.681025m3 for gas at STP. (a) Show that this quantity is equivalent to N/V=2.681019cm3, as stated. (b) About how many atoms are mere in one m3 (a cubic micrometer) at STP? (c) What does your answer to part (b) imply about the separation of Mama and molecules?
The 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.
The 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 (in kPa) if the volume increases from 11 L to 11.6 L and the temperature decreases from 370 K to 360 K. (Note whether the change is positive or negative in your answer. Round your answer to two decimal places.)
A gas expands from I to F in the figure below. The energy added to the gas by heat is 276 J when the gas goes from I to F along the diagonal path. A pressure-volume graph consists of points and line segments plotted on a coordinate plane, where the horizontal axis is V (liters)and the vertical axis is P (atm). Three points are plotted: point I at (2, 4) point A at (4, 4) point F at (4, 1) Line segments connect the three points to form a triangle. Arrows along the line segments point from I to A, from A to F, and from I to F. (a) What is the change in internal energy of the gas? J (b) How much energy must be added to the gas by heat along the indirect path IAF?
Ideal gases are often studied at standard ambient temperature and pressure (SATP). The International Union of Pure and Applied Chemistry (IUPAC) defines SATP to be T = 25° C and P = 100 kPa. a. Calculate N/V (in particles per cubic meter) for an ideal gas at SATP b. How many atoms of an ideal gas at SATP are there in one cubic centimeter?
Neon is expanded isentropically from 2000 kPa and 770 K until the temperature drops to 275 K. What is the pressure, in kPa, at the final state? Report your answer to one decimal place using rounding. Assume that specific heats are constant.
Problem 1: How long does it take to heat a cup of coffee in a 1000-Watt microwave oven? This means that energy is used at the rate of 1000 Joules per second. Assume that the coffee starts at a normal room temperature of 25°C. Step 1: Guess an answer. Step 2: Estimate the volume of the coffee in mL and the final temperature that you want to attain. Step 3: Assume coffee has the same density and thermal properties of water. Find its heat capacity (specific heat times mass) in appropriate units. Step 4: Use the heat capacity and the desired temperature change to find the energy required. Step 5: Calculate the time required using the energy and the microwave power. Pay attention to units and use Power = Energy/time. Step 5: Is your answer reasonable?
Given the ideal gas law P V = k T, where k> 0 is a constant. We have the equation for V in terms of P and T. Finding the rate of change of the volume with respect to temperature at constant pressure, the interpretation of the result is: 1 Because this partial derivative is negative, the volume decreases as the temperature decreases at a fixed pressure. . 2. Because this partial derivative is negative, the volume increases as the temperature increases at a fixed pressure. 3. Because this partial derivative is positive, the volume increases as the temperature decreases at a fixed pressure. 4. Because this partial derivative is positive, the volume increases as the temperature increases at a fixed pressure.
A gas bottle contains 4.15×1023 Nitrogen molecules at a temperature of 354.0 K. What is the thermal energy of the gas? (You might need to know Boltzmann's constant: kg = 1.38x10-23 J/K.) 3041 J Submit Answer Incorrect. Tries 1/20 Previous Tries How much energy is stored in ONE degree of freedom for the whole system? 1.01x103 J are correct. Your receipt no. is 159-4121 O Previous Tries What is the average energy of a single molecule? 7.33x10^-21 J Submit Answer Incorrect. Tries 1/20 Previous Tries On average how much energy is stored by ONE degree of freedom for ONE single molecule? 2.44x10-21 j are correct. Your receipt no. is 159-1592 0 Previous Tries
Two containers of equal volume each hold samples of the same ideal gas. Container A has 2 times as many molecules as container B. If the gas pressure is the same in the two containers, find the ratio of the the absolute temperatures TA and TB ( i.e TA / TB ) . Calculate to 2 decimals.
A (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 Answer
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?