What is the final pressure of the gas in the following problem?If I have 17 Liters of gas at a temperature of 67°C and a pressure of 88.89 atm....

The problem given is that initially there are 17 L of gas
at 67 degree Celsius and the pressure is 88.89 atm. We need to determine the pressure if
the temperature is raised to 94 degree Celsius and the volume is decreased to 12
L.

We use the ideal gas law, which gives the relation
between pressure, temperature and volume as P*V = n*R*T, where P is the pressure, V is
the volume, n is the amount of substance, R is a constant and T is the
temperature.

Let's rewrite the relation as n*R = P*V/T, we
now have constants on one side and the variables on the other
side.

Substituting the values
given:

17*88.89 / 67 = P*12 /
94

=> P =
17*88.89*94/(12*67)

=> P = 176.67
atm.

When the conditions are altered the
pressure of the gas increases to 176.67 atm.