2.00 moles of an ideal gas was found to occupy a volume of 17.4 L at a pressure of 3.00 atm and at a temperature of 45 °C. Calculate the value of the gas constant 'R' in (Latm) / (molK)

Question

Chemistry

Erik Daugherty

15 February, 14:14

2.00 moles of an ideal gas was found to occupy a volume of 17.4 L at a pressure of 3.00 atm and at a temperature of 45 °C. Calculate the value of the gas constant 'R' in (Latm) / (molK)

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Brielle Boyd · Answer 1

R = 0.08208 L·atm/mol·K (based on data given)

Explanation:

PV = nRT = > R = PV/nT

P = Pressure in atmospheres = 3.00 atm

V = Volume in Liters = 17.4 Liters

n = moles of substance = 2.00 moles

T = temperature in Kelvin = 45°C + 273 = 318K

R = (3.00atm) (17.4L) / (2.00mol) (318K) = 0.08208 L·atm/mol·K