1 Find the total translational kinetic energy of 23 L of oxy

1) Find the total translational kinetic energy of 2.3 L of oxygen gas held at a temperature of 0°C and a pressure of 1.3 atm.

2) A scuba diver is 44 m below the surface of a lake, where the temperature is 5°C. He releases an air bubble with a volume of 17 cm³. The bubble rises to the surface, where the temperature is 25°C. Assume that the air in the bubble is always in thermal equilibrium with the surrounding water, and assume that there is no exchange of molecules between the bubble and the surrounding water. What is the volume of the bubble right before it breaks the surface?Hint: Remember that the pressure also changes.

Solution

two different problems here...

I am solving the first one

The kinetic theory for ideal gases states that the total translational kinetic energy of the gas is given by:
2.3L= 2.3 x 10^-3 m³

1.3 atm = 1.3 x 101325 Pa ;

K = (3/2)PV
= (3/2) 2.3×10³ m³ 1.3 x101325 Pa
= 454.44 J