A piston with a cross-sectional area of 30 cm² and a volume of 160 cm³ can be pressured to a maximum gauge pressure of 10 atmospheres.What is the maximum force that the piston can deliver? A)3.0 * 10³ N B)1.6 * 10⁴ N C)1.6 * 10⁵ N D)1.0 * 10⁶ N E)3.0 * 10⁷ N

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Quizplus · Accepted Answer

The maximum force that the piston can deliver is calculated using the formula $F = P \times A$, where $P$ is the pressure and $A$ is the area. Given that the maximum gauge pressure is 10 atmospheres, and 1 atmosphere is approximately equal to $1.01325 \times 10^5$ Pascals, the pressure in Pascals is $10 \times 1.01325 \times 10^5$. The area is given as $30 \, \text{cm}^2$, which is $30 \times 10^{-4} \, \text{m}^2$ (since $1 \, \text{cm}^2 = 10^{-4} \, \text{m}^2$). Therefore, the maximum force is $10 \times 1.01325 \times 10^5 \times 30 \times 10^{-4} = 3.03975 \times 10^4 \, \text{N}$, which is approximately $3.0 \times 10^4 \, \text{N}$.

A Piston with a Cross-Sectional Area of 30 Cm2 and a Volume

A Piston with a Cross-Sectional Area of 30 Cm² and a Volume