The pcessure of Imole of an ideal is inccaSing temperature Ys increasing at arate of 0.23 K/S, Use the equation PV=8.3IT to find the rate of at a rate of 0.06KPA/s and the change ufthe volume when the essure is 21xPa and the temperature is 323K. (Roundyour answer to tuo decimal places) 145
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- A 125 ml pyrex flaskfilled with water to thebrim was heated to 85Celsius. Initial temperatureof both flask and water is15 Celsius.Another activity in the labwas done whereincontainer B was filled with125 ml liquid Ato the brim and wasexposed to the sameconditions. Find the ratio ofamount overflow of waterto that of liquid AConstant for water = 2.1x10^-4/CelsiusConstant for pyrex= 0.09 x10^-4/ CelsiusConstant for liquid A 1.0 x10^-4/CelsiusConstant for container B=0.2 x 10 ^-4A 1.25 mole sample of an ideal gas is expandedfrom 320. K and an initial pressure of 3.10 bar to a finalpressure of 1.00 bar, and CP, m = 5R/2. Calculate w forthe following two cascs:Condition: The expansion is isothermal and reversible.The ratio of the molar specific heat capacity at constant pressure to that at constant volume,gamma, for diatomic hydrogen gas is 7/5. In an adiabatic compression, the gas, originally atatmospheric pressure, is compressed from an original volume of 0.30 m3 to 0.10 m3. What is thefinal pressure of the gas?
- Heliox, a mixture of helium and oxygen, is sometimes given to hospital patients who have trouble breathing, because the low mass of helium makes it easier to breathe than air. Suppose helium at 25 is mixed with oxygen at 35 to make a mixture that is 70% helium by mole. What is the final temperature? Ignore any heat flow to or from the surroundings, and assume the final volume is the sum of the initial volumes.The partial pressure of carbon dioxide in the lungs is about 470 Pa when the total pressure in the lungs is 1.0 atm. What percentage of the air molecules in the lungs is carbon dioxide? Compare your result to the percentage of carbon dioxide in the atmosphere, but 0.033%.An ideal gas goes from state (pi,vi,) to state (pf,vf,) when it is allowed to expand freely. Is it possible to represent the actual process on a pVdiagram? Explain.
- An ideal gas expands quasi-statically and isothermally from a state with pressure p and volume V to a state with volume 4V. Show that the work done by the gas in the expansion is pV(ln 4).Statistical mechanics says that in a gas maintained at a constant temperature through thermal contact with a bigger system (a "reservoir") at that temperature, the fluctuations in internal energy are typically a fraction 1/N of the internal energy. As a fraction of the total internal energy of a mole of gas, how big are the fluctuations in the internal energy? Are we justified in ignoring them?There are two important isotopes of uranium, U235 and U238 ; these isotopes are nearly identical chemically but have different atomic masses. Only U235 is very useful in nuclear reactors. Separating the isotopes is called uranium enrichment (and is often in the news as of this writing, because of concerns that some countries are enriching uranium with the goal of making nuclear weapons.) One of the techniques for enrichment, gas diffusion, is based on the different molecular speeds of uranium hexafluoride gas, UF6 . (a) The molar masses of U235 and U238F6 are 349.0 g/mol and 352.0 g/mol, respectively. What is the ratio of their typical speeds vrms ? (b) At what temperature would their typical speeds differ by 1.00 m/s? (c) Do your answers in this problem imply that this technique may be difficult?
- If the gases of the preceding problem are initially at 300 K, what are their internal energies after they absorb the heat?A dilute gas is stored in the left chamber of a container whose walls are perfectly insulating (see below), and the right chamber is evacuated. Wien the partition is removed, the gas expands and fills the entire container. Calculate the done by the gas. Does the internal energy of the gas change in this process?(II) If 16.00 mol of helium gas is at 10.0°C and a gaugepressure of 0.350 atm, calculate (a) the volume of thehelium gas under these conditions, and (b) the temperatureif the gas is compressed to precisely half the volume at agauge pressure of 1.00 atm