Calculate the Temperature of an Ideal Gas

What is the temperature (in K) at which 13.1 moles of an ideal gas occupies 141 L at 4.28 atm?

The temperature at which 13.1 moles of an ideal gas occupies 141 L at 4.28 atm can be calculated using the Ideal Gas Law equation, which is PV = nRT. In this equation, P represents the pressure, V represents the volume, n represents the number of moles, R is the ideal gas constant, and T represents the temperature.

Calculation:

P = 4.28 atm

V = 141 L

n = 13.1 moles

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

Using the formula T = PV / nR:

T = (4.28 atm * 141 L) / (13.1 moles * 0.0821 L*atm/mol*K)

After calculation, we find:

T = 58.066 K

Therefore, the temperature at which 13.1 moles of an ideal gas occupies 141 L at 4.28 atm is approximately 58.066 K.

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