n = 2.19 mol of Hydrogen gas is initially at T = 342 K temperature and pi = 1.68×105 Pa pressure. The gas is then reversibly and isothermally compressed until its pressure reaches pf = 9.14×105 Pa. What is the volume of the gas at the end of the compression process? How much work did the external force perform? How much heat did the gas emit? How much entropy did the gas emit? What would be the temperature of the gas, if the gas was allowed to adiabatically expand back to its original pressure? Please show all work an answer in sig-figures

A monatomic gas in a certain gasoline engine undergoes an Otto cycle. a.) Assume that the pressure is increased by a factor of 1.5 during the adiabatic compression stroke, so that the pressure after this step is P2 = 1.5 P1, where P1 is the initial pressure. Write an equation for the volume V2 in terms of the volume before this step V1.  b.)  Write an equation for the temperature T2 after the adiabatic compression in terms of the temperature T1 before this step.  c.) Assume the pressure is doubled after the isochoric step, such that the pressure after this step is P3 = 2.0 P2. Write an equation for the temperature after this step T3 in terms of a number (carried to two digits) multiplied by the temperature T2 before this step.

Consider a monatomic ideal gas operating through the Carnot cycle. The initial volume of the gas is V1 = 160 × 10-3 m3. During the isothermal compression step, the volume of gas is reduced by a factor of 4. In the adiabatic heating step, the temperature of the gas is doubled. What is the volume at point 3, in cubic meters?  a. During the isothermal compression step, the volume of gas is reduced by a factor of 4. In the adiabatic heating step, the temperature of the gas is doubled. What is the volume at point 3, in cubic meters?  b.  What is the volume at point 4, in cubic meters?

P Example of calculation of work P = 1 Atm V%= 1 litre iii ii P V V,12 V In this cycle the system, which is an ideal monatomic gas, undergoes first isothermal (i) then adiabatic (ii) compression steps, each of which halve the volume, then returns to its starting point via first isothermal (iii) and then adiabatic (iv) expansions, each of which double the volume. How much work is done by the system during the cycle if P, is 1 atmosphere and V, =1 litre?