Two constant-volume gas thermometers are assembled, one with nitrogen and the other with hydrogen. Both contain enough gas so that p3 = 110 kPa. (a)What is the difference between the pressures in the two thermometers if both bulbs are in boiling water? (Hint: See the figure.) (b) Which gas is at higherpressure, nitrogen or hydrogen?373.50373.40373.125 KNg373.30373.20H2373.10Не20406080100120Þ3 (kPa)Indications of the constant-volume gas thermometer for a boiling point of water depending on pressure at the triple point of water for variousgases(a) NumberUnits(b)Use correct number of significant digits; the tolerance is +/-2%Temperature (K)

a) To determine the pressure of the nitrogen gas, the following relation has to be used,

Answered: Two constant-volume gas thermometers…

College Physics

10th Edition

ISBN:9781285737027

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter10: Thermal Physics

Section: Chapter Questions

Problem 7WUE: One way to cool a gas is to let it expand. When a certain gas under a pressure of 5.00 106 Ha at...

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One way to cool a gas is to let it expand. When a certain gas under a pressure of 5.00 106 Ha at 25.0C is allowed to expand to 3.00 times its original volume, its final pressure is 1.07 106 Pa. (a) What is the initial temperature of the gas in Kelvin? (b) What is the final temperature of the system? (See Section 10.4.)
If the gas in Exercise 23 is initially at room temperature (20C) and is heated in an isobaric (constant-pressure) process, then what will be the temperature of the gas in degrees Celsius when it has expanded to a volume of 0.700 m3?
An aluminum rod 0.500 m in length and with a cross-sectional area of 2.50 cm2 is inserted into a thermally insulated vessel containing liquid helium at 4.20 K. The rod is initially at 300 K. (a) If one-half of the rod is inserted into the helium, how many liters of helium boil off by the time the inserted half cools to 4.20 K? Assume the upper half does not yet cool. (b) If the circular surface of the upper end of the rod is maintained at 300 K, what is the approximate boil-off rate of liquid helium in liters per second after the lower half has reached 4.20 K? (Aluminum has thermal conductivity of 3 100 W/m K at 4.20 K; ignore its temperature variation. The density of liquid helium is 125 kg/m3.)
An aluminum rod 0.500 m in length and with a cross sectional area of 2.50 cm2 is inserted into a thermally insulated vessel containing liquid helium at 4.20 K. The rod is initially at 3(H) K. (a) If one-halt of the rod is inserted into the helium, how many liters of helium boil off by the time the inserted half cools to 4.20 K? Assume the upper half does not yet cool, (b) If the circular surface of the upper end of the rod is maintained at 300 K. what is the approximate boil-off rate of liquid helium in liters per second after the lower half has reached 4.20 K? (Aluminum has thermal conductivity of 3 100 YV/m K at 4.20 K; ignore its temperature variation. The density of liquid helium is 125 kg/m3.)
The pressure in a constant-volume gas thermometer is 0.700 atm at 1.00 102C and 0.512 atm at 0C. (a) What is the temperature when the pressure is 0.040 0 atm? (b) What is the pressure at 450C?
Suppose 26.0 g of neon gas are stored in a tank at a temperature of 152C. (a) What is the temperature of the gas on the Kelvin scale? (See Section 10.2.) (b) How many moles of gas are in the tank? (See Section 10.4.) (c) What is the internal energy of the gas? (See Section 10.5.)
Suppose an incandescent lightbulb is filled with a gas at atmospheric pressure (1.03 * 105 Pa) while at a room temperature of 20.0 °C. What will the pressure be inside the bulb when it has heated to a temperature of 236 °C? (Remember, ideal gas law calculations require a conversion to Kelvin temperatures, TK = TC + 273.15)
Two rooms, each a cube 4 m per side, share a 12-cm thick brick wall. Because of a number of 100-W lightbulbs in one room, the air is at 30 deg C, while in the other room it is at 10 deg C. How many of the 100-W bulbs are needed to maintain the temperature difference across the wall? kbrick = 0.84 W/m.K Round your answer to 2 decimal places.
Super Invar, an alloy of iron and nickel, is a strong material with a very low coefficient of thermal expansion (0.20×× 10^-6 celcius). A 2.5 m -long tabletop made of this alloy is used for sensitive laser measurements where extremely high tolerances are required. A) How much will this alloy table expand along its length if the temperature increases 7.0 C∘? Express your answer to two significant figures and include the appropriate units. B) How much will a 2.5-m-long table made of steel expand along its length if the temperature increases 7.0 C∘? Express your answer to two significant figures and include the appropriate units.
Two rooms, each a cube 4.1 m per side, share a 13-cm-thick brick wall. Because of a number of 100-W lightbulbs in one room, the air is at 29 ∘C, while in the other room it is at 8.0 ∘CHow many of the 100-W bulbs are needed to maintain the temperature difference across the wall?
A bicycle tire contains 2.00 L of gas at an absolute pressure of 7.00 × 105 N/m2 and a temperature of 18.0 °C . What will its pressure be if you let out an amount of air that has a volume of 100 cm3 at atmospheric pressure? Assume tire temperature and volume remain constant.
An expensive vacuum system can achieve a pressure as low as 1.58 ✕ 10−7 N/m2 at 22°C. How many atoms are there in a cubic centimeter at this pressure and temperature?

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