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A cylinder contains 12kg of gas at press...

A cylinder contains 12kg of gas at presssure of `10^7` N/`m^2`. The qunatity of gas taken out of the cylinder, if final pressure is 3 Χ `10^6` N/`m^2` , will be (temperature of gas is constant)

A

15.2 kg

B

3.7 kg

C

Zero

D

7.5 kg

Text Solution

Verified by Experts

The correct Answer is:
D
`PV=m/MRTrArrP propm`
`rArrm_1/m_2=P_1/P_2rArr(10)/m_2=(10^7)/(2.5xx10^6)`
`rArrm_2=2.5" kg"`
Mass of gas taken out of the cylinder
`=10-2.5=7.5kg`
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