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A sample of oxygen gas expands its volum...

A sample of oxygen gas expands its volume from `3L` to `5L` against a constant pressure of `3` atm. If work done during expansion be used to heat `10 ` mole of water initially present at `290K` , its finally temperature will be `(` specific heat capacity of water `=4.18 J//k-g) :`

A

292,0 K

B

290.8 K

C

298.0 K

D

293.7 K

Text Solution

Verified by Experts

The correct Answer is:
B
`W =-P_("ext")(V_(2)-V_(1)) =-3 xx 2 = -6l-atm = -6 xx 101.3 = -607.8`J
`therefore 607.8 = ms DeltaT`
`rArr 607.8 = 10 xx 18 xx 4.18 xx DeltaT`
`DeltaT = 0.8 rArr T_(2) = 290.8` K
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