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At 10^(@)C the value of the density of a...

At `10^(@)C` the value of the density of a fixed mass of an ideal gas divided by its pressure is x. At `110^(@)C` this ratio is

A

`(10)/(110)x`

B

`(283)/(383)x`

C

`x`

D

`(383)/(283)x`

Text Solution

Verified by Experts

The correct Answer is:
B
`PV=nRT or (PV)/(M)=(1)/(M_(0))RT`
or `(p)/(rho)=(RT)/(M_(0)) rArr (rho)/(P) prop (1)/(T)`
`rArr (rho_(1))/(P_(1))//(rho_(2))/(P_(2))=(T_(2))/(T_(1)) or (x)/(rho_(2)//P_(2))=(383)/(283)`
or `(rho_(2))/(P_(2))=(283)/(383)x`
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