Question

At which temperature and pressure would a sample of helium behave most like an ideal gas?1.)75 K and 500 kPa2.) 150k and 500 kPa3.)300k and 50 kPa4.)600k and 50 kPa ​

Answer 1

A sample of helium behaves most like an ideal gas at high temperatures and low pressures, which would be option 4: 600 K and 50 kPa.

Step-by-step explanation:

The temperature and pressure at which a sample of helium would behave most like an ideal gas can be determined by understanding the principles of the Ideal Gas Law. Helium would behave most like an ideal gas at high temperatures and low pressures, as this minimizes the interactions between gas particles and the volume occupied by the molecules themselves, thereby closely adhering to the assumptions made by the Ideal Gas Law.

Among the given options, choice 4.) 600 K and 50 kPa represents the highest temperature and the lowest pressure. These conditions mean that the kinetic energy of the helium atoms is high (due to the high temperature), which makes the intermolecular forces insignificant compared to the kinetic energies of the particles, and the low pressure implies that the particles are widely spaced, meaning the volume of the particles themselves is negligible.

Therefore, a sample of helium would behave most like an ideal gas at a temperature of 600 K and a pressure of 50 kPa, which corresponds to option 4 on the list.