Five moles of monatomic ideal gas have initial pressure 2.50 × 103 Pa and initial volume 2.10 m3. While undergoing an adiabatic expansion, the gas does 1680 J of work. What is the final pressure of the gas after the expansion?

The final pressure of the gas after the expansion is 1.37 x 10³ Pa.

Explanation:

Given;

number of gas moles, n = 5

initial pressure of the ideal gas, P₁ = 2500 Pa

initial volume of the ideal gas, V₁ = 2.1 m³

work done by the gas, W = 1680 J

For adiabatic process, we will have;

For monatomic gas, r = 1.67

For work done by the gas;

Solve equation (1) and (2) together

Now, determine the final pressure of the gas using equation (2)

Therefore, the final pressure of the gas after the expansion is 1.37 x 10³ Pa.

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