1. Given that U is a function of T and V, That is U(T,V), derive the following expression from first principle du = G,dT + [T (), - r]|av Where U is the internal energy of the system, and all other variables have the usual meaning.
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![1. Given that U is a function of T and V, That is U(T,V), derive the following expression
from first principle
du = G,dT + [r (), - P]av
Where U is the internal energy of the system, and all other variables have the usual
meaning.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0511e045-5cef-4958-9bce-4bc3235a9b99%2Fd29179f5-a58e-4c0b-8fd3-5ced553f9426%2Flkxajfj_processed.jpeg&w=3840&q=75)
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- One mole of an ideal monatomic gas is transferred from state a to state b along one of three paths (a → b, a → c→ b, or a →d → b). For each path find the work done by the gas and the heat absorbed. P b 2Po Po Vo 2Vo VI need help on d-fA diatomic ideal gas at pressure p and volume V is expanding to three times its initial volume under constant pressure. If the initial temperature equals T, express the final temperature Tf in terms of the original temperature T. In terms of p and V, calculate the work W done by the gas. In terms of p and V, calculate the heat Q flowing into the gas.
- An ideal gas with energy E =NkgT moves quasi-statically (i.e. reversibly) from state A to state C as shown in the figure. What is the change in the energy of the gas (in J) as it moves from state A to state B? В A 2 Volume (m3) 4 Pressure (Pa) 2.Complete the following statement: The internal energy of an ideal monatomic gas is O independent of the number of moles of the gas. O proportional to the Kelvin temperature of the gas. O a constant that is independent of pressure, volume or temperature. O dependent on both the pressure and the temperature of the gas. O proportional to the pressure and inversely proportional to the volume of the gas.11) a) Derive an expression relating the temperature and volume for an adiabatic process of an ideal monoatomic gas for 2 different states.
- Give the temperature T of 1 mole of ideal gas as a function of the pressure P, volume V, and the gas constant R and give the internal energy U of a rigid diatomic ideal gas as a function of its temperature T and the gas constant R.In answering the questions in this problem, assume that the molecules in air (mainly N2 and O2) have five degrees of freedom at this temperature (three translational and two rotational). What is the internal energy U of one mole of air on a very hot summer day (35∘C)? What is the internal energy U of one mole of air on a typical winter day in Boston when the air temperature is −8.0∘C. To put these results in perspective, determine how high one mole of air has to be lifted to gain a potential energy equal to the difference in the energies found in Part A and Part B. (Take the mass of one mole of air to be 28.9 g.)An ideal gas initially at 350 K undergoes an isobaric expansion at 2.50 kPa. The volume increases from 1.00 m³ to 3.00 m³ and 12.0 kJ is transferred to the gas by heat. (a) What is the change in internal energy of the gas? KJ (b) What is the final temperature of the gas? K
- An ideal gas initially at 325 K undergoes an isobaric expansion at 2.50 kPa. The volume increases from 1.00 m³ to 3.00 m³ and 12.2 kJ is transferred to the gas by heat. (a) What is the change in internal energy of the gas? KJ (b) What is the final temperature of the gas? KAn ideal gas has been subjected transformations AB and BC (see pic/link) Find the change in the inner energy during the whole transformation (AB+BC), if the change in volume is 1 m3.Laws of Thermodynamics PLS ANSWER NO.2