Question

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

held constant?

Answer 1

1.5V on ED

Step-by-step explanation:

Answer 2

1.5V

Step-by-step explanation:

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

`pV=nRT`

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

`V \propto n`

And so:

`(V_1)/(n_1)=(V_2)/(n_2)`

Where here we have:

`n_1=n` is the initial number of moles

`n_2 = 1.5 n` is the final number of moles

`V_1=V` is the initial volume of the gas

Solving for V2, we find the new volume:

`V_2=(n_2 V_1)/(n_1)=(1.5n V)/(n)=1.5 V`

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