Volume V is inversely proportional to temperature T, when pressure is constant, then:
[tex]V\propto\frac{1}{T}[/tex]So, for a constant pressure P, we can create the following formula
[tex]V=\frac{P}{T}\Rightarrow VT=P[/tex]* If the temperature is 50 degrees, the volume is 20 cubic feet. What will the volume be when the temperature is 100 degrees.
Since P is mantain constant, then
[tex]\begin{gathered} P=V_1T_1=V_2T_2 \\ \Rightarrow V_2=\frac{V_1T_1}{T_2} \end{gathered}[/tex]Where, the variables are:
V1 is the initial volume = 20 cubic feet
T1 is the initial temperatura = 50 degrees
V2 is the final volume in cubic feet
T2 is the final temperature = 100 degrees
Now, let's replace into the equation
[tex]V_2=\frac{20\cdot50}{100}=\frac{1000}{100}=10[/tex]Thus, the solution is 10 cubic feet
