A rigid nitrogen tank stored inside a laboratory has a pressure of 30 atm at 06:00 am when the temperature is $27 ° C$ . At 03:00 pm, when the temperature is $45 ° C$ , the pressure in the tank will be___________atm. [nearest integer]

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Vishal Baghel | Contributor-Level 10

6 months ago

$T_{1} = 27 ° C = 300 K$ T₂ = 45° C = 45 + 273 = 318 K

P₁ = 30 atm P₂ =?

V is constant due to rigid tank

$∴ \frac{P_{1}}{T_{1}} = \frac{P_{2}}{T_{2}}$

$\frac{30}{300} = \frac{P_{2}}{318} ∴ P_{2} = \frac{1}{10} * 318 = 31.8 a t m \approx 32 a t m$

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A rigid nitrogen tank stored inside a laboratory has a pressure of 30 atm at 06:00 am when the temperature is 2 7 ° C . At 03:00 pm, when the temperature is 4 5 ° C , the pressure in the tank will be___________atm. [nearest integer]

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