Below is a PV diagram showing a cyclic process for 0.0040 moles of an ideal mona

Question

Below is a PV diagram showing a cyclic process for 0.0040 moles of an ideal monatomic gas. The direction of the cycle is shown by the arrows on the curve. The temperature does NOT change along segment ca the process is isothermal from point c to point a. The other 2 sections of curve are graphically vertical and horizontal . (a) What volume does the gas occupy at point a? (b) What is the temperature at points a, b and c? For parts (c), (d) and (e) below, indicate whether the heat Q has gone into or out of the gas by referring to the sign, positive or negative, of your answer. (c) How much heat went into or out of the gas during segment ab? (d) How much heat went into or out of the gas during segment bc? (e) How much heat went into or out of the gas during segment ca? For parts (f) , (g) and (h) below, indicate whether the change in internal energy ?E int is positive or negative by referring to the sign of your answer. (f) Find the change in internal energy during segment ab. (g) Find the change in internal energy during segment bc. (h) Find the change in internal energy during segment

Below is a PV diagram showing a cyclic process for 0.0040 moles of an ideal monatomic gas. The direction of the cycle is shown by the arrows on the curve. The temperature does NOT change along segment ca ½ the process is isothermal from point c to point a. The other 2 sections of curve are graphically vertical and horizontal . (a) What volume does the gas occupy at point a? (b) What is the temperature at points a, b and c? For parts (c), (d) and (e) below, indicate whether the heat Q has gone into or out of the gas by referring to the sign, positive or negative, of your answer. (c) How much heat went into or out of the gas during segment ab? (d) How much heat went into or out of the gas during segment bc? (e) How much heat went into or out of the gas during segment ca? For parts (f) , (g) and (h) below, indicate whether the change in internal energy ?E int is positive or negative by referring to the sign of your answer. (f) Find the change in internal energy during segment ab. (g) Find the change in internal energy during segment bc. (h) Find the change in internal energy during segment

Explanation / Answer

you havent given the pv diagram

but still you could help yourself

Q = U + W

here

Q is +ve if heat is put into system ,U is +ve if temp increases,W is +ve for expansion(work done by gas)

for isothermal process U = 0 as Ti=Tf     Q = W=nRT ln(Vf/Vi)   

for constant pressure process (horizontal line on pv) if Vf>Vi (or Tf>Ti from PV = nRT)

then W>0 ,U>0 Q>0    Q = nCpT W=P(Vf-Vi)

for constant volume process vertical line in pv diagram

W = 0 (as Vf=Vi)    ; if Tf>Ti U>0 as U = nCv(Tf-Ti) ;Q = U

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