Question

The temperature of a 500. ml sample of gas increases from 150. k to 350. k. what is the final volume of the sample of gas, if the pressure and moles in the container is kept constant?

Answer 1

Answer : The final volume of the gas is, 1166.67 ml

Explanation:

According top the Charles' Law, the volume of a gas is directly proportional to the temperature of the gas at constant pressure of the gas and the number of moles of the gas.

$V\propto T$

or,

$\frac{V_1}{T_2}=\frac{T_1}{T_2}$

where,

$V_1$ = initial volume of gas = 500 ml

$V_2$ = final volume of gas = ?

$T_1$ = initial temperature of gas = 150 K

$T_2$ = final temperature of gas = 350 K

Now put all the given values in the above formula, we get the final volume of the gas.

$\frac{500ml}{V_2}=\frac{150K}{350K}$

$V_2=1166.67ml$

Therefore, the final volume of the gas is, 1166.67 ml

Answer 2

pv=nrt; Pressure and moles are constant. p=nr(150k)/.5 L; Pressure initially After temp change pv=nrt; What is volume? v=nr(350k)/p; p is constant so we can substitute from above v=nr(350k)/(nr(150k)/.5 L)) v=350/150/.5 L v=4.66 liters