Question 3 IDEAL GAS-3 A cylinder is filled with an ideal gas of 5 kg of CO 2 at

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Question 3

IDEAL GAS-3

A cylinder is filled with an ideal gas of 5 kg of CO2 at STP at point A of P-V diagram above. (Assume CO2, is ideal gas, with molecular mass of 44 g).

A) Ideal gas at A

A1) The number of moles of gas is _________________. (3 pts)

A2) Temperature of gas at A is ____________ K. (3 pts)

A3) Volume of gas at A is _____________ m3. (3 pts)

B) Process step #1: A-B

Volume V, is decreased isobarically to 0.5x its initial volume.

B1) Temperature at B is ___________ K. (3 pts)

C) Process step # 2: B-C

Pressure, P, is increased isochorically from B-C returning to the same temperature as at A.

C1) The volume of the gas at C is ___________ m3. (3 pts)

D) Full process: A-B-C

D1) The change in the internal energy of the gas is ____________J (does it increase or decrease) (3 pts)

D2) The work done on the gas for the process A-B-C is ___________ J (3 pts) and is positive or negative _____________. (1 pts)

D3) An amount of heat _____________ flows into or out-of gas ____________. (1 pt)

D4) The full process is (adiabatic, isothermal , isobaric, or isochoric) ________________. (1 pt)

Explanation / Answer

A1. Number of moles of gas = Mass of gas/ Molecular Mass = 5000/44 = 113.63 moles

A2. We Know that , IUPAC established standard temperature and pressure (informally abbreviated as STP) as a temperature of 273.15 K (0 °C, 32 °F) and an absolute pressure of 101.325 kPa (14.7 psi, 1.00 atm, 1.01325 bar).

Hence , Ta = 273.15 K

A3. As the gas follows Ideal gas laws. we can say

PV = nRT

V = nRT/P = 113.63 * 8.314 * 273.15/1 = 258 Kiloliter

B1. As the proecss is ISobaric pressure remains constant. so we can say

V/T = V'/T'

Hence, T' = T/2 = 136.57 K

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