If the number of moles of gas increases to 1.5n, what is the new volume if pressure and temperature are
held constant?

1.5V

Explanation:

We can solve this problem by using the equation of state for an ideal gas, which is:

where

p is the pressure of the gas

V is its volume

n is the number of moles

R is the gas constant

T is the absolute temperature of the gas

In this problem, the pressure and the temperature of the gas are held constant: so we can rewrite the equation as

And so:

Where here we have:

is the initial number of moles

is the final number of moles

is the initial volume of the gas

Solving for V2, we find the new volume:

So, the volume of the gas increases by 1.5 times.