Question

The volume of gas kept at a constant pressure varies inversely with the temperature T. If the temperature is 50 degrees, the volume is 20 quick feet. What will the volume be when the temperature is 100 degrees. V= , Temperature=. . Solution

Answer 1

Given that the volume of gas kept at constant pressure varies inversely with the temperature T and when the temperature is 50 degrees, the volume is 20 cubic feet.

We have to find the volume of gas when the temperature is 100 degrees.

Since it is given that volume varies inversely with the temperature. It means

$T_1V_1=T_2V_2$

Substitute T1 = 50, V1 = 20, T2 = 100.

$\begin{gathered} 50\times20=100\times V_2 \\ 1000=100\times V_2 \\ \frac{1000}{100}=V_2 \\ 10=V_2 \end{gathered}$

Thus, the volume of gas when the temperature is 100 degrees is 10 cubic feet.