# Problem: A natural gas storage tank is a cylinder with a moveable top. Its volume can change only as its height changes, and its radius fixed. The height of the cylinder is 22.6 m on a day when the temperature is 23 oC. The next day the height of the cylinder increases to 23.8 m when the gas expands because of a heat wave.Determine the temperature on the second day, assuming that the pressure and amount of gas in the storage tank have not changed.

###### FREE Expert Solution

Calculate the initial and final volume:

${\mathbf{V}}_{\mathbf{cylinder}}\mathbf{=}{\mathbf{\pi r}}^{\mathbf{2}}\mathbf{h}$

Charles's Law:

$\overline{)\frac{{\mathbf{V}}_{{\mathbf{1}}}}{{\mathbf{T}}_{\mathbf{1}}}{\mathbf{=}}\frac{{\mathbf{V}}_{{\mathbf{2}}}}{{\mathbf{T}}_{\mathbf{2}}}}$

T1 = 23°C + 273.15 = 296.15 K

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###### Problem Details

A natural gas storage tank is a cylinder with a moveable top. Its volume can change only as its height changes, and its radius fixed. The height of the cylinder is 22.6 m on a day when the temperature is 23 oC. The next day the height of the cylinder increases to 23.8 m when the gas expands because of a heat wave.

Determine the temperature on the second day, assuming that the pressure and amount of gas in the storage tank have not changed.