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

Options

A. 292,0 K
B. 290.8 K
C. 298.0 K
D. 293.7 K

Answer

B

Explanation

`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