A 3-L container holds half a mole of an ideal gas at a pressure of 12 atm.What is the gas temperature? (R = 0.082 1 L⋅atm/mol⋅K)
A) 439 K
B) 659 K
C) 1,098 K
D) 878 K
E) 549 K

Question

A 3-L container holds half a mole of an ideal gas at a pressure of 12 atm.What is the gas temperature? (R = 0.082 1 L⋅atm/mol⋅K)
A) 439 K
B) 659 K
C) 1,098 K
D) 878 K
E) ​549 K

Quizplus · Accepted Answer

We can use the ideal gas law in the form:

PV = nRT

where P is pressure, V is volume, n is the number of moles, R is the gas constant, and T is the temperature in Kelvin.

Rearranging this equation, we get:

T = PV/nR

Plugging in the given values, we get:

T = (12 atm) x (3 L) / (0.5 mol) x (0.0821 L.atm/mol.K)

T = 878 K

Therefore, the answer is choice D) 878 K.

A 3-L Container Holds Half a Mole of an Ideal