Answer:
To determine the compressibility and bulk modulus of elasticity of a gas, we can use the following formulas:
Compressibility:
β = - (1/V) * (∆V/∆P)
where V is the initial volume of the gas, ∆V is the change in volume, and ∆P is the change in pressure.
Bulk modulus of elasticity:
B = - V * (∆P/∆V)
where V is the initial volume of the gas, ∆V is the change in volume, and ∆P is the change in pressure.
Using the given values, we can calculate the compressibility as follows:
∆V = V2 - V1 = 0.111m3 - 0.30m3 = -0.189m3
∆P = P2 - P1 = 202.8kPa - 50.7kPa = 152.1kPa
Therefore,
β = - (1/0.30m3) * (-0.189m3/152.1kPa) ≈ 0.0048 kPa^-1
Similarly, we can calculate the bulk modulus of elasticity as follows:
B = - 0.30m3 * (152.1kPa/-0.189m3) ≈ 2418 kPa
Therefore, the compressibility of the gas is approximately 0.0048 kPa^-1, and the bulk modulus of elasticity is approximately 2418 kPa.
Step-by-step explanation: