One cubic metre of nitrogen at 0 ∘ C and 76 cm of Hg weighs 1.25 kg. Its specific heats at constant pressure and volume are 248 and 177 cal k g − 1 K − 1 . Find J in J c a l − 1 . ( g = 9.81 m s − 2 ,

Question

One cubic metre of nitrogen at 0 ∘ C and 76 cm of Hg weighs 1.25 kg. Its specific heats at constant pressure and volume are 248 and 177 cal k g − 1 K − 1 . Find J in J c a l − 1 . ( g = 9.81 m s − 2 , density of mercury 13.6 × 1 0 3 kg m − 3 )

TestHub · Accepted Answer

P = 0.76 × 13600 × 9.81 = 101396 Pa. r = ρT P ​ = 1.25 × 273 101396 ​ = 297.1 J k g − 1 K − 1 . r = J ( c p ​ − c v ​ ) = J × 71 , so J = 4.18 J c a l − 1 .

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