Question

In the equation pv = nrt, how would you solve for v?

Answer 1

Hint pv = nrt is an ideal gas equation. Means ideal gas is going to obey the equation pv = nrt at all temperatures and pressures. Real gas does not obey the principle of pv = nrt.
Here p = pressure of the gas
v = volume of the gas
n = number of moles of the gas
r = gas constant
t = temperature of the gas

Complete step by step answer:
- In the question it is asked in the equation pv = nrt, how we can solve for v.
- It is very easy to calculate the value of v form the equation pv = nrt and it is as follows.
- Just divide the equation on both sides with p and check we will get the value of v from the equation pv = nrt and it is as follows.

& \Rightarrow pv=nrt \\\ & \Rightarrow \dfrac{pv}{p}=\dfrac{nrt}{p} \\\ & \Rightarrow v=\dfrac{nrt}{p} \\\ \end{aligned}$$ \- Now we can cross check if the above equation is correct or not by using principles of gas laws. **Note:** The gas laws are Boyle's laws, Charles law and Avogadro’s law. Boyle's law : $P=\dfrac{1}{V}$ where nRT is constant. Charles law: V = T, where $\dfrac{nR}{P}$ is constant. Avogadro’s law : V = n where $\dfrac{RT}{P}$ is constant. In the all the above formulas P = pressure of the gas V = volume of the gas N = number of moles of the gas R = gas constant T = temperature of the gas