Suppose you have 0.53 moles of an ideal gas. What is the average kinetic energy of that gas (in units of kJ) if the temperature of the gas is 280.2K? Note: It is understood that the unit of your answer is some number of kilo-Joules, however do not explicitly include units in your answer. Enter only a number. If you do enter a unit ("kJ" in this case), you answer will be counted wrong.

Learning Goal: To understand the meaning and the basic applications of pV diagrams for an ideal gas. As you know, the parameters of an ideal gas are described by the equation PV = nRT, where p is the pressure of the gas, V is the volume of the gas, n is the number of moles, R is the universal gas constant, and I is the absolute temperature of the gas. It follows that, for a portion of an ideal gas, Figure 3po 2po Po pV T 51 Vo = constant. 6 2V 3V V Submit ✓ Correct No work is done during a process, if the gas does not experience a change in volume. The absolute value of the work done by the gas during a cycle (a process in which the gas returns to its original state) equals the area of the loop corresponding to the cycle. One must be careful, though, in judging whether the work done by the gas is positive or negative. One way to determine the total work is to calculate directly the work done by the gas during each step for the cycle and then add the results with their respective…

For this problem, we want to estimate the answer, so our assumptions may be a little unrealistic. Suppose we want to estimate how much air we need to send to a space station, assuming we cannot recycle air. Suppose four astronauts are in a spherical space station. If each of them typically breathes about 500 cm³of air with each breathe, and take 15 breathes per minute (average resting value): a. What is the volume of air you would need in the space station if these four astronauts stayed for a full year? b. If the density of air is 1.25 kg/m³ and it costs (thanks to SpaceX) a mere $100/kg to send objects to the space station, how much money would the astronaut air supply cost?

Please help me with this question and explain it. Thank you!