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- A 20.0-L tank of carbon dioxide gas (CO2) is at a pressure of 9.50 105 Pa and temperature of 19.0C (a) Calculate the temperature of the gas in Kelvin. (b) Use the ideal gas law to calculate the number of moles of gas in the tank. (c) Use the periodic table to compute the molecular weight of carbon dioxide, expressing it in grams per mole. (d) Obtain the number of grains of carbon dioxide in the tank. (e) A fire breaks out, raising the ambient temperature by 224.0 K while 82.0 g of gas leak out of the tank. Calculate the new temperature and the number of moles of gas remaining in the tank. (f) Using a technique analogous to that in Example 10.6b, find a symbolic expression for the final pressure, neglecting the change in volume of the tank. (g) Calculate the final pressure in the tank as a result of the fire and leakage.The law of atmospheres states that the number density of molecules in the atmosphere depends on height y above sea level according to nV(y)=n0en0gy/kaT where n0 is the number density at sea level (where y = 0). The average height of a molecule in the Earths atmosphere is given by yavg=0ynV(y)dy0nV(y)dy=0yen0gy/kaTdy0en0gy/kaTdy (a) Prove that this average height is equal to kBT/m0g. (b) Evaluate the average height, assuming the temperature is 10.0C and the molecular mass is 28.9 u, both uniform throughout the atmosphere.The enthalpy of 36 g of water vapor increases by 1830 J when its temperature increases from 150C to 175C. Assume that water vapor is an ideal gas. 1. What is the molar specific heat at constant pressure in SI units for water vapor? 2. By how much did the water vapor’s thermal energy increase? Express your answer with the appropriate units.
- 1.The resistance of a thermistor over a limited range of temperature is given by where c is a constant and T is the absolute temperature. What will be the temperature on the Celsius scale of the thermistor at absolute temperature of T = 300K? 2. A woman finds a front windshield of a car covered with ice at -12oC. The ice mm and the windshield area is 125mm2. The density of the ice is 917kg/m3. How much heat is required to melt the ice? [S.H.C of ice = 2200J/kg/K, Lf =3.3x105J/kg]. 3. An electric heater of power 2kW is used to heat 0.8kg of water in a container of heat capacity 300J/K. If the water is initially at 18oC, how long will it take to heat it to the boiling point of 100oC? What mass of water will have boiled away in 4 minutes? [S.H.C of water = 4200J/kg/K, LV = 2.3X106J/kg] 4. Explain anomalous expansion of water. 5. Steel railway tracks are laid at 8oC. What size of expansion gap are needed 10m long rail sections if the ambient temperature varies from -10oC to…If the initial temperature of the sample is 63.5°F, what is its temperature in degrees fahrenheit when the desired temperature increase has been achieved? (3 sig fig)Temperature-Dependent Heat Capacity At low temperatures, the specific heats of solids are typically proportional to T3. The first understanding of this behavior was due to the Dutch physicist Peter Debye, who in 1912, treated atomic oscillations with the quantum theory that Max Planck had recently used for radiation. For instance, a good approximation for the specific heat of salt, NaCl, is c =3.33× 104 J ⎛ ⎞ kg·k ⎝ T 321 K ΘD, and the formula works well when ⎠ T
- In (a) "The absolute tolerance is ±0.001" In (b) "The absolute tolerance is ±10"Box your answer2. Explain how ideal gas equation summarizes all the gas laws.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?
- If the ideal gas law (PV = kT) is used to find P when T and V are given, but there is an error of 0.3% in measuring T and an error of 0.8% in measuring V, find approximately the greastest percent error in P? TOPIC:TOTAL DIFFERENTATION(a) Construct a table showing the macro states and all of the individual microstates for tossing 13 coins. (Use Table 15.5 as a guide.) (b) How many macro states are there? (c) What is the total number of microstates? (d) What percent chance is here of tossing 5 heads and 1 tail? (e) How much more likely are you to toss 3 heads and 3 tails than 5 heads and 1 tail? (Take me ratio of the number of microstates to find out.)A 20.0-L tank of carbon dioxide gas (CO2) is at a pressure of 9.50 105 Pa and temperature of 19.0C (a) Calculate the temperature of the gas in Kelvin. (b) Use the ideal gas law to calculate the number of moles of gas in the tank. (c) Use the periodic table to compute the molecular weight of carbon dioxide, expressing it in grams per mole. (d) Obtain the number of grains of carbon dioxide in the tank. (e) A fire breaks out, raising the ambient temperature by 224.0 K while 82.0 g of gas leak out of the tank. Calculate the new temperature and the number of moles of gas remaining in the tank. (f) Using a technique analogous to that in Example 10.6b, find a symbolic expression for the final pressure, neglecting the change in volume of the tank. (g) Calculate the final pressure in the tank as a result of the fire and leakage.