Answer:
A. 70 K
B. 3.16 atm
Step-by-step explanation:
We'll begin by calculating the number of mole in 175 g of Ar. This can be obtained as follow:
Mass of Ar = 175 g
Molar mass of Ar = 40 g/mol
Mole of Ar =?
Mole = mass / molar mass
Mole of Ar = 175 / 40
Mole of Ar = 4.375 moles
A. Determination of the temperature.
Mole of Ar (n) = 4.375 moles
Volume (V) = 2.50 L
Pressure (P) = 10 atm
Gas constant (R) = 0.0821 atm.L/Kmol
Temperature (T) =?
PV = nRT
10 × 2.5 = 4.375 × 0.0821 × T
25 = 4.375 × 0.0821 × T
Divide both side by (4.375 × 0.0821)
T = 25 / (4.375 × 0.0821)
T ≈ 70 K
B. Determination of the pressure.
Mole of Ar (n) = 4.375 moles
Volume (V) = 2.50 L
Temperature (T) = 22 K
Gas constant (R) = 0.0821 atm.L/Kmol
Pressure (P) =?
PV = nRT
P × 2.5 = 4.375 × 0.0821 × 22
Divide both side by 2.5
P = (4.375 × 0.0821 × 22) / 2.5
P = 3.16 atm.