Question

We double both volume and absolute temperature of a given amount of an ideal gas.

Answer 1

Answer:

In a nutshell, the pressure does not change.

Explanation:

Let assume that amount of moles is conserved, then following relationship is constructed from the Equation of State for Ideal Gas:

$\frac{P_{o}\cdot V_{o}}{T_{o}} = \frac{P_{f}\cdot V_{f}}{T_{f}}$

The final pressure is now cleared in the equation:

$P_{f} = \left(\frac{V_{o}}{V_{f}} \right)\cdot \left(\frac{T_{f}}{T_{o}} \right) \cdot P_{o}$

$P_{f} = \left(\frac{1}{2} \right)\cdot (2) \cdot P_{o}$

$P_{f} = P_{o}$

In a nutshell, the pressure does not change.