The kinetic energy of an ideal gas is (E) at NTP. At what temperature its kinetic energy is half of its initial value ? (a) 136.5 K (b) 193.06 К (c) 273 K (d) 546 K
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- A canister with a piston contains 1.05 kg of air at 30.0°C and 1.25 x 105 Pa. Energy is transferred by heat into the system as it expands and the pressure rises to 4.25 x 105 Pa. Throughout the expansion, the relationship between pressure and volume is given by P = cv1/2) where C is a constant. Air may be modeled as a diatomic ideal gas with a molar mass of M = 28.9 g/mol. Determine the following. (a) initial volume (in m3) 0.01477 The ideal gas law may be used to describe the air in any state, Since we want the initial volume, we should use the pressure and temperature for the initial state. How can you determine the number of moles of air from the total mass and the molar mass? m3 (b) final volume (in m) m3 (c) final temperature (in K) K (d) work done on the air (in J) (e) energy transferred by heat (Enter the magnitude in MJ.) MJOne mole of an ideal gas initially at a temperature of T, = 8.4°C undergoes an expansion at a constant pressure of 1.00 atm to eight times its original volume. (a) Calculate the new temperature T,of the gas. K. (b) Calculate the work done on the gas during the expansion. kJA 1 mol sample of a diatomic ideal gas (γ=1.4) expands slowly and adiabatically from a pressure of 18 atm and a volume of 3 L to a final volume of 18 L. What is the final temprature (in K) of the gas? ( Answer no decimal )
- A sample of helium behaves as an ideal gas as it is heated at constant pressure from 273 K to 386 K. If 24.0 J of work is done by the gas during this process, what is the mass of helium present?A sample of helium behaves as an ideal gas as it is heated at constant pressure from 273 K to 403 K. If 22.0 J of work is done by the gas during this process, what is the mass of helium present? mgTwo containers each hold 1 mole of an ideal gas at 1 atm. Container A holds a monatomic gas and container B holds a diatomic gas. The volume of each container is halved while the pressure is held constant. (Assume the initial volumes of containers A and B are equal.) (c) What is the ratio QA QB of the energy transferred to gases A and B?
- A container having a volume of 2.30 L holds 1.80 g of helium gas at a temperature of 29.0 °C. (a) Find the pressure in the container. P = atm (b) Helium behaves as an ideal monoatomic gas. Find the internal energy of the system. Eint =A student decides to conduct an experiment by using two different flasks and two different gas samples. In flask 1, there exists Neon (Ne) gas, whereas the second flask is filled with nitrogen (N2) gas. If both flasks are kept at 270 K, answer the following questions. (Note: Molar mass of N2 = 28.014 g mol1,molar mass of Neon = 20.1797 g mol, R= 8.31 J. mol1.K1, k=1.38 x 1023 J.K-1, Avogadro's number = 6.02 x 1023 mol1.) a) Find the average kinetic energy of one Neon molecule. b) Calculate the average kinetic energy (translational+rotational) of one nitrogen molecule by including rotational motion in your calculations. c) Find the root-mean-square speed of one neon molecule. V ms1 CheckA monatomic ideal gas initially fills a container of volume V = 0.25 m3 at an initial pressure of P = 390 kPa and temperature T = 325 K. The gas undergoes an isobaric expansion to V2 = 0.75 m3 and then an isovolumetric heating to P2 = 780 kPa. Calculate the number of moles, n, contained in this ideal gas. Calculate the temperature of the gas, in kelvins, after it undergoes the isobaric expansion. Calculate the change in entropy of the gas, in kilojoules per kelvin, as the material undergoes the isobaric expansion.