Question

A sample of gas at a constant temperature has an initial pressure reading of 6.31 atm with a volume of 245.0 ml. after a change in volume, the final pressure reading is 2.73 atm. calculate the final volume.

A) 567.72 ml
B) 245.0 ml
C) 816.69 ml
D) 112.82 ml
E) 419.55 ml

Answer 1

To find the final volume of the gas, we can use the combined gas law equation. By plugging in the given values and solving for the final volume, we get 567.72 ml. Therefore, the correct answer is (A) 567.72 ml.

Step-by-step explanation:

To find the final volume of the gas, we can use the combined gas law equation, which states that PV/T is constant when the amount of gas and temperature are held constant. Using this equation, we can set up the following proportion:

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

Plugging in the given values, we have:

(6.31 atm)(245.0 ml)/(T1) = (2.73 atm)(V2)/(T2)

Since the temperature doesn't change, we can set T1 = T2.

Cross multiply and solve for V2:

(6.31 atm)(245.0 ml) = (2.73 atm)(V2)

V2 = (6.31 atm)(245.0 ml) / (2.73 atm) = 567.72 ml

Therefore, the final volume of the gas is 567.72 ml. So, the answer is (A) 567.72 ml.