Chapter 3 - Polynomial and Rational Functions - 3.6 Variation - 3.6 Exercises - Page 389: 40

$1.1\ L$

Step 1. Assume $V\ (L)$ is the volume of a gas. Step 2. Assume $P\ (newtons)$ is the pressure and $T\ (K)$ is the temperature. Step 3. From the given conditions, we have $V=kT/P$ and $1.3=k(300)/(18)$, thus $k=0.078$ Step 4. For $T=340\ (K)$ and $P=24\ (newtons)$, we have $V=kT/P=0.078(340)/(24)=1.105\approx1.1\ L$