A certain substance (not an ideal gas) has a PV graph as a straight line AB when subjected to an adiabatic process. If the same substance goes through process A arrow C arrow B, what is the heat given to it?

Question

A certain substance (not an ideal gas) has a PV graph as a straight line AB when subjected to an adiabatic process. If the same substance goes through process A arrow C arrow B, what is the heat given to it? <img class="img-fluid question-image" alt="Question" src="https://cdn.tardigrade.in/q/nta/p-lotgen7ymirej2mx.jpg" /> (A) 50J (B) 200J (C) 150J (D) 100J

Tardigrade Admin · Accepted Answer

For adiabatic process Δ WA B+Δ UA B=0 Δ UA B=-(1/2) ×(1 × 105)(1 × 10-3)-(1 × 105)(1 × 10-3)=-150 J =Δ U ACB Δ QA C B=WA C B+Δ UA C B =WA C+WC B+Δ UA B =(.200+0.)-150=50J

Q. A certain substance (not an ideal gas) has a $P V$ graph as a straight line $A B$ when subjected to an adiabatic process. If the same substance goes through process $A \to C \to B,$ what is the heat given to it?

$50 J$

$200 J$

$150 J$

$100 J$

For adiabatic process $Δ W_{A B} + Δ U_{A B} = 0$
$Δ U_{A B} = - \frac{1}{2} \times (1 \times 1 0^{5}) (1 \times 1 0^{- 3}) - (1 \times 1 0^{5}) (1 \times 1 0^{- 3}) = - 150 J = Δ U_{A CB}$
$Δ Q_{A CB} = W_{A CB} + Δ U_{A CB}$
$= W_{A C} + W_{CB} + Δ U_{A B}$
$= (200 + 0) - 150 = 50 J$

Q. A certain substance (not an ideal gas) has a PV graph as a straight line AB when subjected to an adiabatic process. If the same substance goes through process A→C→B, what is the heat given to it?

50J

200J

150J

100J