Question

The volume expansivity of a gas under constant pressure is $0.0037$ or $\left(\frac{1}{273}\right)$. Calculate its volume at $-{100}^{o}C$ if its volume at ${100}^{o}C$ is $685c{m}^3$ .

Answer 1

$\text{Given : Volume expansitivity of gas =}\frac{1}{273}\text{At 100}{}^{\circ }\text{C volume =}685c{m}^3\text{At -100}{}^{\circ }\text{C volume = V}\text{Volume at 100}{}^{\circ }\text{C = V+V(100 - (-100)) =}\frac{1}{273}=V(1+\frac{200}{273})V=\frac{685\times 273}{473}=395c{m}^3{\text{Volume at -100}{}^{\circ }\text{C = 395 cm}}^3$