A balloon that is initially flat, is inflated by filling it...

A balloon that is initially flat, is inflated by filling it from a tank of compressed air. The final volume of the balloon is $5 \mathrm{~m}^{2}$. The barometer reads $95 \mathrm{kPa}$. The work done in this process is: (a) $475 \times 10^{\overline{3}} \mathrm{~J}$ (b) $4.75 \times 10^{7} \mathrm{~J}$ (c) $4.75 \times 10^{3} \mathrm{~J}$ (d) $4.75 \times 10^{-} \mathrm{J}$

A balloon that is initially flat, is inflated by filling it from a tank of compressed air. The final volume of the balloon is $5 \mathrm{~m}^{2}$. The barometer reads $95 \mathrm{kPa}$. The work done in this process is:
(a) $475 \times 10^{\overline{3}} \mathrm{~J}$
(b) $4.75 \times 10^{7} \mathrm{~J}$
(c) $4.75 \times 10^{3} \mathrm{~J}$
(d) $4.75 \times 10^{-} \mathrm{J}$

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Key Concepts

Pressure-Volume Work

Pressure-volume work is a fundamental concept in thermodynamics where the work done by or on a system is calculated as the product of pressure and the change in volume, assuming constant pressure. This concept helps explain energy transfer processes during expansion or compression of gases.

Unit Conversion

Unit conversion is critical in thermodynamic calculations to maintain the consistency and correctness of physical quantities involved. It involves converting measurements to compatible units, such as changing kilopascals to pascals for pressure and ensuring that volume is correctly represented, often in cubic meters, to accurately compute work.

Thermodynamic Processes

Thermodynamic processes describe the changes that a system undergoes, such as expansion or compression at constant pressure. Recognizing the process type simplifies the computation of work, as in a constant pressure process where the work is directly given by pressure multiplied by the change in volume.

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