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Question

O2 is filled in a cylinder. When pressure is increased 2 times, temperature becomes four times, then how much times their density will become

A
2
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B
4
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C
14
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D
12
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Solution

The correct option is D 12

Apply ideal gas equation

PV=n¯¯¯¯RT

P=mMoV¯¯¯¯RT

P=mV¯¯¯¯RTMo=ρ¯¯¯¯RTMo

ρ=PMo¯¯¯¯RT ....... (1)

In second event

ρ2=P2Mo¯¯¯¯RT2 =2PMo¯¯¯¯R×4T=12PMo¯¯¯¯RT=12ρ

Hence, density become half


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