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- Calculate the internal energy, U internal -in Joules- of 3.2 moles of a monoatomic gas, if 3 Cv, monoatomic = R The temperature of the gas is T = 349K R = 8.31 J mol. K Hint: U₁ internal = n. Cy. Tft-lb A certain ideal has a constant gas R= 38.9 Ib-R with k= 1·4. Find the specific heat at constant volume R. if Cv can be computed by 78 t(k) Also, compute BTU for the specific heat at constant pressure.Compute Vm, Vbar, and Vrms for an oxygen molecule at 300 K. What are the corresponding values at 10,000k?
- Problem 3. The viral coefficients of a gas at 20 °C and 11.5 bar are B = -138 cm³ mol¹ and C=7222 cmº mol². Calculate the V (molar volume) Z (compressibility factor) of the gas. Use the equation below (R = 83.14 cm³ bar mol-¹ K-¹). PV 2 = ² = (1 + = + =) Z RTThe Ideal Gas Law is given by the equation: PV — пRT Where: P = pressure V = volume n = moles T = temperature in Kelvin In order to solve for the moles, n, you must multiply both sides of the equation by the same expression: PV × = nRT × The resulting equation is: n =A monatomic ideal gas undergoes an isothermal expansion at 300 K, as the volume increased from 0.020 to [2*v1] m³.The final pressure is 120.61kPa. The ideal gas constant is R = 8.314 J/mol · K. %3D What is the heat transfer Q to the gas in kilojoules? Please enter your numerical answer with two decimal places. (for example for 2090 J, enter 2.09 )
- 1.50 moles of a monatomic ideal gas goes isothermally from state 1 to state 2. P1 = 2.8×105 Pa, V1 = 88 m3, and P2 = 6.6×105 Pa. What is the volume in state 2, in m3? Your answer needs to have 2 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement.Answer the problem. For helium, R=2.0769 and Cp=5.1926 KJ/kg-K. Three kg of helium operates cycle where the processes are constant volume (1-2): constant pressure (2-3): and constant temperature (3-1). Given that P1=100 kPa T1=300 degree Kelvin, and v1/v3=5, determine the heat added in the cycle. a. 22.316kJ b. 14.225kJ c. 8.405kJ d. 36.708kJAn ideal gas, at pressure 4.9 atmospheres, in a volume 1.1 m3 and at a temperature of 308 K, is compressed into a lower volume 0.44 m3, at a pressure of 6.26 atmospheres. What is the new temperature, in K with two digits of precision?
- Two vessels X & Y of volumes 10x10-4 m3 and 5x10-4 m3 connected by a tube of negligible volume and kept at temperatures of 400 K and 200 K respectively, contain the same ideal gas. What is the ratio of nX : nY?A sealed 19 m3 tank is filled with 7,011 moles of ideal oxygen gas (diatomic) at an initial temperature of 292 K The gas is heated to a final temperature of 490 K. The atomic mass of oxygen is 16.0 g/mol. The final pressure of the gas, in MPa, is closest to: answer round to 4 sig.figThe 1.8kg gas nitrogen has temperature of 0°C, filled inside 25liter. Calculate the pressure of gas nitrogen. Take gas molecular weight = 28 Please answer in SI unit (even temperature) with no decimals.