Question

The pressure and absolute temperature of an ideal gas are both tripled, the volume is __________. not changed

Answer 1

Answer:

Not Changed

Explanation:

To know what happened with the volume you need to know the Ideal gas Law

$\frac{P_{1}V_{1}}{T1} =\frac{P_{2}V_{2} }{T2}$

This law is a combination of the other four laws: Boyles's, Charles's, Avogadro's, and Guy-Lussac's.

The initial state is represented by P1, V1, T1 and the final by P2, V2, T2.

In this case:

$T_{2} =3T_{1} \\P_{2} =3P_{1}$

Replacing on the equation

$\frac{P_{1}V_{1}}{T1} =\frac{3P_{1}V_{2}}{3T_{1} }$

If we clear from the equation V2

$\frac{P_{1}V_{1}3T_{1}}{T_{1} 3P_{1}} ={V_{2}}$

Then cancel both P1 and T1

$\frac{3V_{1}}{3} =V_{2}$

You will found that

$V_{1} =V_{2}$