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I have an unknown volume of gas at a pressure of 0.5 atm and a temperature of 325k if I raise the pressure to 1.2 atm, decrease the temperature to 320k, and measures the final volume to be 48 liters what was the initial volume of the gas?



Answer :

Ryan2
Use the Equation of Clapeyron:

[tex]\frac{P_1.V_1}{T_1}=\frac{P_2.V_2}{T_2}\\ \\ \frac{0.5V_1}{235}=\frac{1.2*48}{320}\\ \\ 320*0.5V_1=235*1.2*48\\ \\ V_1=\frac{235*1.2*48}{320*0.5}=84.5 liters[/tex]

The initial volume of the gas is 117L.

What is volume?

Volume is the amount of space the matter occupies.

What do you mean by combined gas law?

  • The combined gas law combines the three gas laws: Boyle's Law, Charles' Law, and Gay-Lussac's Law.
  • It states that the ratio of the product of pressure and volume and the absolute temperature of a gas is equal to a constant.
  • When Avogadro's law is added to the combined gas law, the ideal gas law results.
  • It is a combination of the other gas laws that works when everything except temperature, pressure, and volume are kept constant.
  • There are a couple of common equations for writing the combined gas law. The classic law relates Boyle's law and Charles' law to state:

                                     PV/T = k

where P = pressure, V = volume, T = absolute temperature in K and k= constant.

  • Another common formula for the combined gas law relates before and after conditions of a gas:

          P1V1 / T1 = P2V2 / T2

Where P1 and P2 = initial and final pressure in atm

           T1 and T2 = Initial and final temperature in K

            V1 and V2 = initial and final volume in L

Using combined gas law:

P1V1/T1 = P2V2/T2

Given:

P1 = 0.5 atm

T1 = 325K

P2 = 1.2 atm

V2 = 48L

T2 = 320K

Assuming that the number of moles are constant for both conditions:

(P1 x V1)/T1 = (P2 x V2)/T2

Substituting the given values,

(0.5 x V1)/325 = (1.2 x 48)/320K

Solving for V1

V1 = (1.2atm x 48L x 325K)/ (320Kx 0.5 atm)

 V1   = 117L

 Hence, the initial volume of the gas is 117L.

To learn more about combined gas law here

https://brainly.com/question/57595

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