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Three moles of nitrogen gas [tex]$N_2$[/tex] at 41.3°C are contained in a 35.8 L cylinder. Find the pressure the gas exerts on the cylinder walls.

Answer :

Final answer:

To calculate the pressure exerted by nitrogen gas in a cylinder, the ideal gas law is used. The provided information is incomplete as the units for volume are missing, making it impossible to solve without additional information or context.

Explanation:

The question pertains to finding the pressure of nitrogen gas (N₂) contained in a cylinder at a given temperature. Using the ideal gas law defined as PV = nRT, where P is the pressure, V is the volume, n is the amount of gas in moles, R is the ideal gas constant, and T is the temperature in Kelvin, we can solve for the pressure. Given the moles (n=3 mol) and temperature (41.3°C which converts to 314.45 K), we can find the pressure if the value of the ideal gas constant (R) in the appropriate units and the volume of the gas (35.8 liters) are known. Since the volume is instead given as '35.8 cylinder', there seems to be a typo, and the volume units are needed to solve this problem correctly.

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