The pressure of a gas changes linearly with volume from A to B as shown in figure. If no heat is supplied to or extracted from the gas then change in the internal energy of the gas will be Is

Question

The pressure of a gas changes linearly with volume from A to B as shown in figure. If no heat is supplied to or extracted from the gas then change in the internal energy of the gas will be Is (A) 4.5 J (B) -4.5 J (C) zero (D) 6 J

Tardigrade Admin · Accepted Answer

As Δ q =0 Δ u =- W W =∫ PdV Δ u =- W =30 × 103 × 150 × 10-6 =4500 × 10-3 =4.5 J

Q. The pressure of a gas changes linearly with volume from $A$ to $B$ as shown in figure. If no heat is supplied to or extracted from the gas then change in the internal energy of the gas will be Is

$4.5 J$

$- 4.5 J$

zero

$6 J$

As $Δ q = 0$
$Δ u = - W$
$W = \int P d V$
$Δ u = - W = 30 \times 1 0^{3} \times 150 \times 1 0^{- 6}$
$= 4500 \times 1 0^{- 3}$
$= 4.5 J$

Q. The pressure of a gas changes linearly with volume from A to B as shown in figure. If no heat is supplied to or extracted from the gas then change in the internal energy of the gas will be Is

4.5J

−4.5J