20 cubic inches of a gas with an absolute pressure of 5 psi is compressed untill its pressure reaches 10 psi. what is the new volume of the gas? ( assuming that there s no change in temperture)
a. 5 cubic inches
b. 10 cubic inces
c. 40 cubic inches
d. 100 cubic inches
thanks to any one who can answer this
When there is no change in temperature, the product PV does not change.
20 in^3 * 5 psi = 10 psi * X psi
X = (5/10) * 20 in^3 = ?
P1V1 = P2V2
You have V1, P1, and P2. Solve for V2. Show your work if you need further assistance.
20 in^3 * 5 psi = 10 psi * X in^3
X = (5/10) * 20 in^3
= 10 cubic inches (b)
To solve this problem, you can use the equation PV = PV, which states that the product of pressure (P) and volume (V) remains constant as long as the temperature is constant.
Given:
Initial volume (V1) = 20 cubic inches
Initial pressure (P1) = 5 psi
Final pressure (P2) = 10 psi
Using the equation P1V1 = P2V2, we can rearrange it to solve for V2:
V2 = (P1V1) / P2
Substituting the given values:
V2 = (5 psi * 20 cubic inches) / 10 psi
V2 = 100 cubic inches / 10 psi
V2 = 10 cubic inches
Therefore, the new volume of the gas is 10 cubic inches. So the correct answer is option (b).