Question

Consider a gas in a cylinder that is thermally isolated from the environment. The upper part of the cylinder is a moveable piston of negligible weight. The height of the cylinder is 30 cm. The outside pressure is 105 Pa. The temperature of the gas is 250 K. The volume filled by the gas is 1.5 l. How many moles of the gas are in the container

Answer 1

The number of mole of the gas in the container is 7.58×10¯⁵ mole

From the question given above, the following data were obtained:

Temperature (T) =  250 K

Volume (V) = 1.5 L

Pressure (P) = 105 Pa = 105 / 1000 = 0.105 KPa

Gas constant (R) = 8.314 L.KPa/Kmol

Number of mole (n) =?

The number of mole of the gas in the container can be obtained as by using the ideal gas equation as illustrated below:

PV = nRT

0.105 × 1.5 = n × 8.314 × 250

0.1575 = n × 2078.5

Divide both side by 2078.5

n = 0.1575 / 2078.5

n = 7.58×10¯⁵ mole

Therefore, the number of mole of the gas in the container is 7.58×10¯⁵ mole

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