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12 g of gas occupy a volume of 4xx10^(-3...

12 g of gas occupy a volume of `4xx10^(-3) m^(3)` at a temperature of `76^(@)C`.after the gas is heated at constant pressure, its density becomes `6xx10^(-4) g//cm^(3)`.What is the temperature to which the gas was heated?

A

1000 K

B

1400 K

C

1200 K

D

800 K

Text Solution

Verified by Experts

The correct Answer is:
B
Volume at `7^(@)C = 4xx10^(-3)m^(3)`
Let it be heated to x K.
`Volume =(12)/(6xx10^(-4))cm^(3)=2xx10^(4)cm^(3)`
Since, `V/T=constant`
`therefore` " " `(4xx10^(-3))/(280)=(2xx10^(-2))/(x)`
`therefore`" " `x=(2xx10^(-2)xx280)/(4xx10^(-3)=1400 K`
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