# 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

98% (44 ratings) ###### 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.

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Our tutors have indicated that to solve this problem you will need to apply the The Ideal Gas Law Derivations concept. You can view video lessons to learn The Ideal Gas Law Derivations. Or if you need more The Ideal Gas Law Derivations practice, you can also practice The Ideal Gas Law Derivations practice problems.