Question
Calculate the temperature (in Kelvin) at which a 1.0 L container filled with 2.0 moles of a gas exerts a pressure of 3.0 atm.
Calculate the temperature (in Kelvin) at which a 1.0 L container filled with 2.0 moles of a gas exerts a pressure of 3.0 atm.
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Koala Tutor
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To calculate the temperature in Kelvin, we can use the ideal gas law formula:
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)
We are given:
P = 3.0 atm
V = 1.0 L
n = 2.0 moles
Rearranging the formula to solve for T:
T = PV / (nR)
Plugging in the given values:
T = (3.0 atm * 1.0 L) / (2.0 moles * 0.0821 L·atm/mol·K)
T ≈ 18.07 K
Therefore, the temperature at which the 1.0 L container filled with 2.0 moles of gas exerts a pressure of 3.0 atm is approximately 18.07 Kelvin.
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