Answer:
We can use the ideal gas law to solve for the number of moles of gas:
PV = nRT
where P is the pressure in atm, V is the volume in liters, n is the number of moles, R is the ideal gas constant (0.0821 L atm/mol K), and T is the temperature in Kelvin.
We are given P = 0.832 atm, V = 2.5 L, and T = 195 K. Substituting these values into the equation, we get:
(0.832 atm)(2.5 L) = n(0.0821 L atm/mol K)(195 K)
Simplifying, we get:
2.08 = 16.0775n
Dividing both sides by 16.0775, we get:
n = 0.129 mol
Therefore, there are approximately 0.129 moles of gas in the sample.