• # question_answer Pressure remaining the same, the volume of a given mass of an ideal gas increases for every degree centigrade rise in temperature by definite fraction of its volume at [CBSE PMT 1989] A)                 ${{0}^{o}}C$    B)                 Its critical temperature C)                 Absolute zero    D)                 Its Boyle temperature

${{V}_{t}}={{V}_{o}}(1+{{\alpha }_{v}}t)$                    $\because ({{V}_{2}}-{{V}_{1}})=\Delta V={{V}_{o}}\alpha ({{t}_{2}}-{{t}_{1}})$                    if ${{t}_{2}}-{{t}_{1}}={{1}^{o}}$then $\Delta V=\alpha {{V}_{o}}$                                 For every ${{1}^{o}}C$increase in temperature, the volume of a given mass of an ideal gas increases by a definite fraction $\frac{1}{273.15}$of ${{V}_{o}}$. Here ${{V}_{o}}$ is volume at ${{0}^{o}}C$ temperature.