The volume of a gas at 20oC is 100CC at normal pressure when it is heated to 100oC, its volume is 125CC at the same pressure the volume coefficient of the gas is

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The volume of a gas at 20^oC is 100CC at normal pressure when it is heated to 100^oC, its volume is 125CC at the same pressure the volume coefficient of the gas is

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$\frac{1}{200} /^{o} C$

$\frac{1}{400} /^{o} C$

$\frac{1}{300} /^{o} C$

$\frac{1}{273} /^{o} C$

answer is C.

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Detailed Solution

Given that t₁ = 20^oC, t₂ = 100^oC
V₁ = 100CC, V₂ =125CC
we have volume coefficient of gas $α = \frac{V_{2} - V_{1}}{V_{1} T_{2} - V_{2} T_{1}}$
$= \frac{125 - 100}{(100) (100) - (125) (20)} = \frac{1}{300} /^{o} C$