Question

the ideal gas law, shown below, is used in chemistry, where p is pressure, v is volume, n is the number of moles of the gas, r is a constant, and t is the temperature. pv = nrt based on the equation, which is a true statement? o p = \frac{tv}{nr} o p = \frac{tv}{nr} o p = \frac{nrt}{v} o p = \frac{nrt}{v}

Explanation:

Step1: Isolate \( P \)

Given the ideal gas law \( PV = nRT \). To solve for \( P \), divide both sides of the equation by \( V \).
$$\frac{PV}{V}=\frac{nRT}{V}$$

Step2: Simplify

Simplify the left - hand side of the equation. Since \(\frac{V}{V} = 1\), we get \( P=\frac{nRT}{V} \).

Answer:

\( P=\frac{nRT}{V} \) (the third option)