Question

2 moles of a monatomic ideal gas is placed under a piston in a cylindrical container. The piston can move freely up and down without friction and its diameter is 20 cm. A 50 kg weight i placed on the top of the piston. The initial temperature of the gas is 0°C. A. Calculate the absolute pressure in the container. B. Calculate the volume of the gas. D. Calculate the amount of work done by the gas during its expansion.​

Answer 1

The absolute pressure in the container when the monatomic ideal gas is placed under a piston is 1.17 × 10⁵ pa

How to calculate pressure?

The absolute pressure in the container will be:

= Po + mg/A

= 1.013 × 10⁵ + (50 × 9.8)/(π × 0.1²)

= 1.17 × 10⁵ pa

The volume of the gas will be:

= nRT/P

= 2 × 8 × 3.14 × (0 + 273)/(1.17 × 10⁵)

= 0.0388m³

The amount of work done by the gas during its expansion will be:

= 1.17 × 10⁵ × (0.053 - 0.0388)

= 1661J

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