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
B
310 cc
C
390 cc
D
450 cc

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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