In chemistry and physics, Boyle’s Law describes the relationship between the pre
ID: 2893681 • Letter: I
Question
In chemistry and physics, Boyle’s Law describes the relationship between the pressure and volume of a fixed quantity of a gas maintained at a constant temperature. The law states that:
where P is the pressure of the gas, and V is the volume.
Suppose that the pressure on a fixed amount of gas is increasing. What can you conclude about the volume? Explain.
If the temperature T of the gas can also change, the law becomes:
PV=RT
where R is a constant.
Suppose that the pressure on a fixed amount of gas is increasing. What can you conclude about the volume? Explain.
Explanation / Answer
(a) PV = k
P = k/V
dP/dt = (-k/V^2) dV/dt
Volume is decreasing
(b) PV = RT
P = RT/V, V = RT/P, T = PV/R
dP/dt = R[V(dT/dt) - T(dV/dt)]/V^2
dV/dt = R[P(dT/dt) - T(dP/dt)]/P^2
dT/dt = R[P(dV/dt) + V(dP/dt)
(c) Volume is decreasing.
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