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One litre of a gas, kept at a pressure o...

One litre of a gas, kept at a pressure of 75 cm. of mercury is compressed isothermally. If its volume becomes `750 cm^(3)`, then the bulk stress is
`(g = 10m//s^(2), e_("mercury") = 13.6 g//c.c]`

A

`1.4 xx 10^(5) N//m^(2)`

B

`2 xx 10^(6) N//m^(2)`

C

`3.4 xx 10^(6) N//^(2)`

D

`5.4 xx 10^(6) N//m^(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
`P_(2) = (P_(1)V_(1))/(V_(2)) = (75 xx 1000)/(750) = 100 cm` of mercury
`:. dP = 100 - 75 = 25 cm` of mercury
`:.` Bulk stress `= dP = rho gh = 13.6 xx 1000 xx 10 xx 25`
`= 3.4 xx 10^(6) N//m^(2)`
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