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Question

# A vessel of volume 5 litre contains 1.4 g of nitrogen at a temperature 1800 K. The pressure of the gas if 30% of its molecules are dissociated into atoms at this temperature is :

A
4.05 atm
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B
2.025 atm
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C
3.84 atm
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D
1.92 atm
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Solution

## The correct option is A 1.92 atmThe reaction involved, dissociation of nitrogen gas N2⇌2Nmass of nitrogen =1.4g⇒moles=1.4/28=0.05moles after dissociation of N2=0.05×70100and after dissociation of 2N=0.05×2×30100total moles involved =0.065applying ideal gas equation (PV=nRT)P=(nRT)V =1.92atmSo, the correct option is D

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