Temperature of gas in state A after isobaric expansion to state B

[urgent]

Homework Statement

Three moles of an ideal monoatomic gas trebles its initial volume in an isobaric expansion from state A to state B. The gas is then cooled isochorically to state C and finally compressed isothermally until it returns to state A. The molar gas constant is R = 8.314 J mol–1 K–1 and Boltzmann's constant is 1.38 × 10–23 J K–1.

(a) If state B corresponds to a pressure P = 5 atm (1 atm = 1.013 × 10^5 Pa) and temperature T = 535 °C, determine the temperature of the gas in state A.

Homework Equations

unknown

The Attempt at a Solution

the answer to this solution is 269K...and i have NO idea what so ever how to do this, could you please help?

 

[Andrew Mason]

Homework Statement

Three moles of an ideal monoatomic gas trebles its initial volume in an isobaric expansion from state A to state B. The gas is then cooled isochorically to state C and finally compressed isothermally until it returns to state A. The molar gas constant is R = 8.314 J mol–1 K–1 and Boltzmann's constant is 1.38 × 10–23 J K–1.

(a) If state B corresponds to a pressure P = 5 atm (1 atm = 1.013 × 10^5 Pa) and temperature T = 535 °C, determine the temperature of the gas in state A.

First, determine the volume at B and then the pressure at C. (Hint: use ideal gas law. Be careful about temp. scale). With that, you can determine the temperature at C, which is the same as the temperature at A.

AM

 

[urgent]

First, determine the volume at B and then the pressure at C. (Hint: use ideal gas law. Be careful about temp. scale). With that, you can determine the temperature at C, which is the same as the temperature at A.

AM

hi um i tried to do it as u advised, but i was not able to get the right answer, could you please state the suggested formulas to use in order? thanks

 

[Andrew Mason]

hi um i tried to do it as u advised, but i was not able to get the right answer, could you please state the suggested formulas to use in order? thanks

Find the volume at B and the temperature at A (which is the same as temperature at C).:

PV=nRT.

At B: P = 5 atm = 5 x 101.3 KPa = 506.5 KPa; T = 535+273 = 808K. n = 3 moles

V = nRT/P = ________?

This is 3 times the volume at A, so the volume at A is _______. Applying the ideal gas law, the temperature at A is: _______



AM

 

[urgent]

thx a lot for ur help! really appreciate it=]