Awelder using a tank of volume 7.60×10−2 m3 fills it with oxygen (with a molar mass of 32.0 g/mol ) at a gauge pressure of 3.05×105 pa and temperature of 35.4 ∘c. the tank has a small leak, and in time some of the oxygen leaks out. on a day when the temperature is 20.8 ∘c, the gauge pressure of the oxygen in the tank is 1.95×105 pa. find the initial mass of oxygen. (in kg)

The initial mass of oxygen is 0.38538 Kg.

Explanation:

Given that,

Volume of tank

Molar mass = 32.0 g/mol

Gauge pressure

Initial temperature = 35.4°C

Final temperature = 20.8°C

Gauge pressure

We need to calculate initial pressure

Using formula of pressure

Put the value into the formula

We need to calculate the number of moles

Using equation of ideal gas

Put the value into the formula

We need to calculate the initial mass of oxygen

Using formula of mass

Put the value into the formula

Hence, The initial mass of oxygen is 0.38538 Kg.

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