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Calculate the Pressure (in Atm)exerted by 5.0 Moles of of a Gas in a Steel Vessel of Volume 45.7 L at 59.5^circ C

Soru

Calculate the pressure (in atm)exerted by 5.0 moles of of a gas in a steel vessel of volume 45.7 L at 59.5^circ C

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Cevap

To calculate the pressure exerted by the gas, we can use the ideal gas law equation:PV = nRTWhere:P = Pressure (in atm)V = Volume (in L)n = Number of molesR = Ideal gas constant (0.0821 L·atm/mol·K)T = Temperature (in K)Given information:- Number of moles (n) = 5.0 moles- Volume (V) = 45.7 L- Temperature (T) = 59.5°CStep 1: Convert the temperature from Celsius to Kelvin.T = 59.5°C + 273.15 = 332.65 KStep 2: Substitute the given values into the ideal gas law equation and solve for the pressure (P).PV = nRTP = (nRT) / VP = (5.0 moles × 0.0821 L·atm/mol·K × 332.65 K) / 45.7 LP = 1.22 atmTherefore, the pressure exerted by the gas in the steel vessel is 1.22 atm.