Question

1. if the temperature of a gas is decreased (constant volume), what happens to the pressure?

a. it increases
b. it decreases
c. it stays the same
d. it becomes negative.

Explanation:

Step1: Recall the ideal gas law

The ideal - gas law is $PV = nRT$. When the volume $V$ and the number of moles $n$ are constant, the relationship between pressure $P$ and temperature $T$ can be written as $\frac{P}{T}=k$ (where $k=\frac{nR}{V}$ is a constant).

Step2: Analyze the change in pressure with temperature

From $\frac{P}{T}=k$, we can express $P = kT$. This is a direct - proportional relationship. When $T$ (temperature) decreases (since $k$ is constant), $P$ (pressure) will also decrease.

Answer:

B. It decreases