# The absolute temperature of a gas is increased four times while maintaining a constant volume. What happens to the pressure of the gas?

##### 1 Answer

Mar 28, 2017

The pressure of the gas *also* increases by a factor of

#### Explanation:

Since there is constant volume, we can use Gay-Lussac's Law:

#P_1/T_1 = P_2/T_2#

The problem tells us that the temperature of the gas is increased by a factor of 4. So, we can make the substitution:

#T_2 = 4T_1#

Now, use this substitution to find

#P_1/T_1 = P_2/T_2#

#P_1/T_1 = P_2/(4T_1) color(white)"XXXX"# substitute#4T_1# for#T_2#

#4P_1 = P_2 color(white)"XXXXX"# multiply both sides by#4T_1#

This means that *also* increases by a factor of

*Final Answer*