A) \[0.0021{{/}^{o}}C\]
B) \[0.0025{{/}^{o}}C\]
C) \[0.0030{{/}^{o}}C\]
D) \[0.0033{{/}^{o}}C\]
Correct Answer: D
Solution :
The volume coefficient is given by \[\alpha =\frac{{{V}_{2}}-{{V}_{1}}}{{{V}_{1}}{{T}_{2}}-{{V}_{2}}{{T}_{1}}}\] Given, \[{{T}_{1}}={{20}^{o}}C,\,{{V}_{1}}=100\,c{{m}^{3}},{{T}_{2}}={{100}^{o}}C\], \[{{V}_{2}}=125\,\,c{{m}^{3}}\] \[\Rightarrow \] \[\alpha =\frac{125-100}{(100\times 100)-(125\times 20)}\] \[=\frac{25}{10000-2500}\] \[=\frac{75}{7500}=0.0033{{/}^{o}}C\].
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