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10-1.Thermometry, Thermal Expansion and Calorimetry
medium
The volume of a gas at $20°C$ is $100 \,cm^3$ at normal pressure. If it is heated to $100°C$, its volume becomes $125\, cm^3$ at the same pressure, then volume coefficient of the gas at normal pressure is
A
$0.0015°C^{-1}$
B
$0.0045°C^{-1}$
C
$0.0025°C^{-1}$
D
$0.0033°C^{-1}$
Solution
(d) $\frac{{{V_1}}}{{{V_2}}} = \frac{{1 + \gamma \,{t_1}}}{{1 + \gamma \,{t_2}}}$ ==> $\frac{{100}}{{125}} = \frac{{1 + \gamma \times 20}}{{1 + \gamma \times 100}}$ $\Rightarrow$ $\gamma = 0.0033°C^{-1}$
Standard 11
Physics
