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Question

A gas occupies a volume of $$300$$ cc at $$27^{\circ} C$$ and $$620$$ mm pressure. The volume of gas at $$47^{\circ} C$$ and $$640$$ mm pressure is :


A
260 cc
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B
310 cc
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C
390 cc
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D
450 cc
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Solution

The correct option is B $$310\ cc$$
Ideal gas equation,
$$PV = nRT$$

So when no of moles of gas are constant

$$\dfrac {P_{1} V_{1}}{T_{1}} = \dfrac {P_{2} V_{2}}{T_{2}}$$

$$= \dfrac {V_{1} \times 640}{(273 + 47)} = \dfrac {620 \times 300}{(273 + 27)}$$

$$V_{1} = \dfrac {620 \times 300\times 320}{640\times 300} = 310 cc$$

Chemistry

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