One mole of an ideal gas is warmed slowly so that it goes from the PV state (Pi , Vi ) to (3Pi , 3Vi ) in such a way that the pressure of the gas is directly proportional to the volume. (a) How much work is done on the gas in the process? (b) How is the temperature of the gas related to its volume during this process?

A gas is compressed at a constant pressure of 0.800 atm from 11.00 L to 1.00 L. In the process, 390 J of energy leaves the gas by heat. (a) What is the work done on the gas? (b) What is the change in its internal energy?

the volume of an ideal gas is decreased from 5L to 5mL at a constant pressure of 1 atm. Calculate the work associated with this process.

Two kilomoles of carbon dioxide (СО2) gas are heated by 500C at constant pressure. Find:(1) the change in the internal energy of the gas;(2) the work of expansion;(3) the amount of heat received by the gas.

The temperature of 2.85 mol of an ideal diatomic gas is increased by 51.3 °C without the pressure of the gas changing. The molecules in the gas rotate but do not oscillate. (a) How much energy is transferred to the gas as heat? (b) What is the change in the internal energy of the gas? (c) How much work is done by the gas? (d) By how much does the rotational kinetic energy of the gas increase? (a) Number i Units (b) Number Units Units (c) Number Units (d) Number

A cylinder containing n mol of an ideal gas undergoes an adibatic process. Starting with dW = pdV and using the condition pVY = constant, show that the work done by the gas: 1 W × (p;V; - PfV¢) %3D Starting from the first law of thermodynamics in differential form, prove that the work done by the gas is n×Cy(T; - Tf).

An ideal monatomic gas expands adiabatically from 0.530 m³ to 1.72 m³. If the initial pressure and temperature are 1.30 × 105 Pa and 355 K, respectively, find the number of moles in the gas, the final gas pressure, the final gas temperature, and the work done on the gas. HINT (a) the number of moles in the gas (Enter your answer to at least three significant figures.) mol (b) the final gas pressure (Enter your answer in Pa, to at least three significant figures.) Pa (c) the final gas temperature (in K) K (d) the work done on the gas (in J) J

Consider the following figure. (The x axis is marked in increments of 2 m³.) P(Pa) 6 x 10 4 X 10 - 2 x 10 V (m³) (a) Determine the work done on a gas that expands from/to / as indicated in the figure. MJ (b) How much work is performed on the gas if it is compressed from ftoi along the same path? MO

A monoatomic, ideal gas with volume 5 L and pressure of 6 ATM expands isobarically to a volume of 25 L, then cools isochronically to a pressure of 3.5 ATM. What is the change in the internal energy of the gas?

An ideal monatomic gas expands isothermally from 0.570 m³ to 1.25 m³ at a constant temperature of 800 K. If the initial pressure is 1.18 x 105 Pa find the following. (a) the work done on the gas (b) the thermal energy transfer Q J (c) the change in the internal energy J