**What is the volume of 5.60 g of o2 at 7.78 atm and 415k?**

**Answer:**

**0.765 dm³**

**Explanation:**

Applying genera gas equation,

PV = nRT……………. Equation 1

Where P = pressure of the oxygen gas, V = Volume of the oxygen gas, n = number of mole of oxygen gas, T = Temperature of oxygen gas, R = Molar gas constant.

Make V the subject of the equation

V = nRT/P……………… Equation 2

But,

n = mass/molar mass

n = 5.6/(16×2)

n = 5.6/32

n = 0.175 moles.

Given: T = 415 K, P = 7.78 atm, n = 0.175 moles

Constant: R = 0.082 atm.dm³/K.mol

Substitute into equation 2

V = 0.175(0.082)(415)/7.78

V = 5.95525/7.78

**V = 0.765 dm³**