Question

A flexible vessel contains 47 L of gas where the pressure is 1.3 atm. What will the volume be when the pressure is 0.85 atm, the temperature remaining constant?

a. 0.014 L
b. 31 L
c. 47 L
d. 0.046 L
e. 72 L

Answer 1

e. 72 L. To find the new volume of gas when the pressure is decreased with temperature constant, Boyle's Law is used. The initial conditions were 1.3 atm and 47 L,

Step-by-step explanation:

The question is asking to determine the new volume of a gas when pressure is decreased, with temperature remaining constant. This is an application of Boyle's Law, which states that the pressure of a gas is inversely proportional to its volume when temperature is kept constant (P1V1 = P2V2).

Initial conditions: P1 = 1.3 atm, V1 = 47 L
New conditions: P2 = 0.85 atm, V2 = ?
Using Boyle's Law:
P1V1 = P2V2
1.3 atm * 47 L = 0.85 atm * V2
V2 = (1.3 atm * 47 L) / 0.85 atm
V2 = 72 L

So the new volume when the pressure is 0.85 atm, with temperature constant, is 72 liters.