1. An ideal gas at 20.00C and pressure 1.50x105 Pa is in a container having a volume of 1 litter. a) determine the number of moles of gas in the container. b) the gas pushes against a piston expanding to twice its original volume, while the pressure falls to atmospheric pressure. Find the final temperature.
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- 1. A sealed box with volume 2 m^3 contains an ideal gas with 2.0*10^26 particles at a temperature of 400 K. What is the pressure inside the box> a. 368 kPa b. 552 kPa c. 276 kPa d. 414 kPa 2. A sealed box with volume 1 m^3 contains an ideal gas with 2.0*10^26 particles at a temperature of 300 K. The gas is then heated isochorically to 600 K. What is the pressure inside the box? a. 5*10^29 Pa b. 1.66 MPa c. 829 kPa d. 1.38 MPaA. If you double the typical speed of molecules in a gas, by what factor will the pressure change? B. Give a reasonable and complete explanation for your answer based on the kinetic model of the molecules4.0 moles of krypton gas are in a 0.20 m3 container. The pressure is 1.663 × 105 Pa. a. What is the temperature (to the nearest K)? The volume contracts to 0.10 m3. The pressure is held constant. b. How much work was done by the gas during the volume contraction? c. What is the temperature after the volume contraction (to the nearest K)? d. What was the change in thermal energy? e. What was the heat flow? Express in units of J, positive = into gas, negative = out of gas.
- A3] a) Find the temperature of 1 mole of oxygen molecules if they occupy a volume of 4 L and have a pressure of 6 x 10° Pa. You should treat the oxygen as an ideal gas and take the value of the universal gas constant to be R = 8.31J mol1 K-. b) What is the density of the oxygen? You may assume that the mass of I mole of oxygen molecules is 32 g. c) What is the mean square velocity of the oxygen molecules? d) State two assumptions of the kinetic theory of ideal gases that the van der Waals model does not require to be true.6. The following data show the relation of vapour pressure of liquid Z as a function of temperature. p/mmHg T/°C 17.54 20 31.82 30 55.32 40 92.51 50 149.38 60 233.70 70 Using linear regression technique, compute the molar enthalpy of vaporization of liquid Z!6
- Which of the following should be done to lower the pressure of 1.0 mole of an ideal gas in a 22.4 L container to absolute zero? A Add another mole of gas to the container. B Cool the gas to zero degrees celsius. C Cool the gas to absolute zero. D Compress the container to one-third the size. E Triple the volume of the container.It is known that 28 g of a certain ideal gas occupy 26.4 liters at standard conditions (0° C, 1 atm). The volume occupied by 42 g of this gas at standard conditions (in liters) is: a. 22.4 b. 14.9 c. 33.4 d. more data are needed e. 39.6Question A2 An ideal gas occupies a volume of 1.75 cm³ at 30°C and atmospheric pressure. Calculate the number of molecules of gas in the container. (1 atm = 1.013 x 105 Pa)
- 1. Given 14.00 L of a gas at a pressure of 5.10 atm, what will the volume be if I increase the pressure to 10.50 atm while keeping the temperature constant? 2. Given an initial pressure of 500. atm and a temp. of 150C, what will the pressure be if I increase the temp. to 275⁰C, while keeping the volume constant? 3. Given an initial volume of 20.5 L and a temp. of 50.0 ⁰C, what will be the new volume if the temp. increases to 100 ⁰C, while keeping the pressure constant?5. A gas with volume V, pressure P, and temperature T is inside a container with a moveable piston. No gas is leaking from the container as the temperature of gas is quadrupled while the volume is doubled. What will be the new pressure? A. 2P B. P C. 1/2 P D. 8P1. The internal energy for a monatomic gas is equal to its total translational kinetic energy. 2 moles of Helium (monatomic gas, atomic mass = 4 u) are placed in a .1 m3 container and are at 60 kPa.a. Find the total translational kinetic energy?