What was the initial volume of the gas in the following case?I have an unknown volume of gas held at a temperature of 115 K in a container with a...

When an amount of gas equal to n moles is placed under
conditions where the temperature is T and the pressure is P, the relation of the volume
occupied by the gas is given by the Ideal Gas Equation as P*V = n*R*T. Here R is a
universal constant that remains the same.

As we can write
this equation in the form P*V/T = n*R we have a relation with the variables on one side
equated to a constant. This allows us to determine changes in any of the three variables
P, V and T.

Let the original volume of the gas in the
problem be V. We can use the values given to create:

V*60 /
115 = 29*30 / 222

=> V = 29*30*115/
222*60

=> V = 7.51
L

The original volume of the gas before the pressure was
decreased and the temperature increased, was 7.51 L