College

At what temperature in °C does 0.750 mol of an ideal gas occupy a volume of 35.9 L at a pressure of 1.13 atm?

Answer :

At a pressure of 1.13 atm and a volume of 35.9 L, 0.750 mol of an ideal gas will occupy a temperature of approximately 387.66°C.

Given information,

Pressure (P) = 1.13 atm

Volume (V) = 35.9 L

Number of moles (n) = 0.750 mol

The ideal gas law equation: PV = nRT

Where:

P = pressure (in atm)

V = volume (in liters)

n = number of moles

R = ideal gas constant (0.0821 L·atm/(mol·K))

T = temperature (in Kelvin)

Now,

T = PV / (nR)

T = (1.13 * 35.9 ) / (0.750 * 0.0821)

T = (40.607 atm·L) / (0.061575 mol·L/(K·atm))

T ≈ 660.81 K

T(°C) = T(K) - 273.15

T(°C) ≈ 660.81 - 273.15

T(°C) ≈ 387.66°C

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