Answer:
37.5 L
Explanation:
Initial Volume, V1 = 15L
Initial Pressure P1 = 4.5 atm
Final Pressure, P2 = 1.8 atm
Final Volume V2 = ?
The relationship between these variables is given as;
P1V1 = P2V2
V2 = PIV1 / P1
Inserting the values;
V2 = 4.5 * 15 / 1.8
V2 = 37.5 L
Answer: The new volume is 37.5L
Explanation:
The question is solved using the principle and formula of a gas law known as the Boyle's law. Boyle's law states that provided the temperature remains constant, the volume of a given mass of gas is inversely proportional to its pressure. Expressing the statement mathematically:
P ∝ 1/V, (where p is equal to pressure and V is volume)
Therefore PV = a constant
If a gas at pressure P1 and Volume V1 changes at constant temperature to pressure P2 and volume V2 then:
P1V1 = P2V2.
Using the formula to solve the question:
P1 = 4.5atm
P2 = 1.8atm
V1= 15L
V2 = ?
V2 = P1V1/P2
V2= 4.5 × 15 /1.8
V2 = 67.5/1.8
V2 = 37.5 L
Therefore the new volume is 37.5L
