Mass of an empty 50 litres cylinder is 4.8kg. the cylinder is filled with 60atm nitrogen gas. molecular mass of nitrogen is 28. what is the new mass of cylinder

8.235 kg

Explanation:

Mass of the cylinder = 4.8 kg

The capacity (volume) of the cylinder = 50 liters

As 1 m^3 = 1000 liters

So, the volume of the cylinder, v= 0.05 m^3

The volume of filled nitrogen, v= 0.05 m^3

Pressure of filled nitrogen, p = 60 atm = 60\times 101325 Pa

Assuming that the nitrogen gas is at room temperature which is 25-degree centigrade,

So, the temperature of nitrogen gas, T=273+25= 298 K

By using the ideal gas equation, pv=nRT

Where n is the number of moles, R is the universal gas constant, R = 8.314 J/mol·K

Putting all the values in the ideal gas equation, we have

(60 x 101325)0.05 = n (8.314) x (298)

n= (60 x 101325 x 0.05)/(8.314 x 298)

n=122.69 moles

As the  molar mass of nitrogen is 28, so the total mass of the nitrogen in the cylinder, m= 122.69 x 28 = 3435.32 grams = 3.435 kg.

Hence, the new mass of the cylinder = 4.8+3.435=8.235 kg