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Question

A vessel of volume 8.0×103m3 contains an ideal gas at 300k and 200k Pa. The gas is allowed to leak till the pressure falls to 125 k Pa. Calculate the amount of gas (in moles) leaked assuming that the temperature remains constant.

A
0.24 moles
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B
0.34 moles
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C
0.44 moles
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D
0.54 moles
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Solution

The correct option is A 0.24 moles
Temperature and volume are constants.
n=PVRTorni=PiVRTandnf=PfVRT
Amount leaked =ninf=(PiPf)VRT
=(200125)×103×(8.0×103)8.31×300=0.24 moles

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