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Temperature of nitrogen in a vessel of volume 2 m3 is 288 K. A U-tube manometer connected by the vessel shows a reading of 70 cm of mercury (level higher in the end open to atmosphere). The universal gas constant is 8314 J/kmol-K, atmospheric pressure is 1.01325 bar, acceleration due to gravity is 9.81 m/s2 and density of mercury is 13600 kg/m3. The mass of nitrogen (in kg) in the vessel is _______.
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- 4.55
- 5.55
- 4.65
- 4.59
Correct Option: A
p =ρgh = 0.7 × 1360 × 9.81 = 9339.12Pa
Actual pressure = atmospheric pressure = 110664.12 Pa
pv =mRT ⇒ m = pv/RT
| m = | ⇒ m = 4.55kg | 288 × 8314 |
