Q.

 Calculate the value of mean free path ( λ) for oxygen molecules at temperature 270C and pressure 1.01 ×105 Pa. Assume the molecular diameter 0.3 nm and the gas is ideal.   (k=1.38×1023JK1)

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a

102 nm

b

86 nm

c

32 nm

d

58 nm

answer is D.

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Detailed Solution

λmean =12πd2NV   &     PV=NKBTλmean =KBT2πd2P =1.38×1023×3002×3.14×0.09×1018×1.01×105=102nm

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