Chapter 10 - Temperature and Kinetic Theory - Learning Path Questions and Exercises - Exercises - Page 383: 33

a). $(1)$ the volume will increase. b). $10.6$%

a). The volume will increase. (1) is correct. By ideal gas law, $V=\frac{NRT}{P}$ So if $p=p_{0}$, volume is proportional to temperature. b). $V=\frac{NRT}{P}$ If temperature increases from $10^{\circ}C$ to $40^{\circ}C$, $\Delta T=30$ Hence, $\Delta V=\frac{NR\Delta T}{P}=\frac{30NR}{P}$ Initial V = $\frac{283NR}{P}$ So, percentage change $=\frac{\Delta V}{V}=\frac{30}{283}=10.6$%