First slide

Thermal expansion

Question

The volume of a gas at 20⁰C is 100CC at normal pressure. When it is heated to 100⁰C, its volume is 125CC at the same pressure the volume coeficient of the gas is

Easy

A

$\large \frac{1}{{200}}{/^0}C$
B

$\large \frac{1}{{400}}{/^0}C$
C

$\large \frac{1}{{300}}{/^0}C$
D

$\large \frac{1}{{273}}{/^0}C$

Solution

Given that t₁ = 20⁰C, t₂ = 100⁰C; V₁ = 100CC; V₂ = 125CC
We have volume coefficient of gas $\large \alpha=\frac {V_2-V_1}{V_1t_2-V_2t_1}$
$\large =\frac {125-100}{100(100)-125(20)}=\frac {1}{300}/^0C$

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