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Question: The volume of a gas at 20°C is 100 cm<sup>3</sup> at normal pressure. If it is heated to 100°C, its ...

The volume of a gas at 20°C is 100 cm3 at normal pressure. If it is heated to 100°C, its volume becomes 125 cm3 at the same pressure, then volume coefficient of the gas at normal pressure is

A

0.0015/°C

B

0.0045/°C

C

0.0025/°C

D

0.0033/°C

Answer

0.0033/°C

Explanation

Solution

V1V2=1+γt11+γt2\frac{V_{1}}{V_{2}} = \frac{1 + \gamma t_{1}}{1 + \gamma t_{2}}100125=1+γ×201+γ×100\frac{100}{125} = \frac{1 + \gamma \times 20}{1 + \gamma \times 100} ⇒ γ = 0.0033/°C