In a car piston shown above, the pressure of the compressed gas (red) is 5.00 atm . If the area of the piston is 0.0760m^2 what is the forced exerted by the gas on the piston in Newtons (N)? __ N Your answer should be rounded to three significant figures. Do not include units in your answer.

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In a car piston shown above, the pressure of the compressed gas (red) is 5.00 atm . If the area of the piston is 0.0760m^2 what is the forced exerted by the gas on the piston in Newtons (N)? __ N Your answer should be rounded to three significant figures. Do not include units in your answer.

Answer 1

To calculate the force exerted by the gas on the piston, we can use the formula:\[F = P \times A\]where:- \(F\) is the force in Newtons (N),- \(P\) is the pressure in pascals (Pa), and- \(A\) is the area in square meters (m²).First, we need to convert the pressure from atmospheres to pascals. The conversion factor is:\[1 \mathrm{~atm} = 101325 \mathrm{~Pa}\]Given that the pressure of the compressed gas is \(5.00 \mathrm{~atm}\), we convert this to pascals:\[P = 5.00 \mathrm{~atm} \times 101325 \mathrm{~Pa/atm}\]\[P = 506625 \mathrm{~Pa}\]Now, we can calculate the force:\[F = P \times A\]\[F = 506625 \mathrm{~Pa} \times 0.0760 \mathrm{~m}^{2}\]\[F = 38483.5 \mathrm{~N}\]Rounded to three significant figures, the force exerted by the gas on the piston is:\[F \approx 38500 \mathrm{~N}\]So the final answer is:\[38500\]

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In a car piston shown above, the pressure of the compressed gas (red) is 5.00 atm . If the area of the piston is 0.0760m^2 what is the forced exerted by the gas on the piston in Newtons (N)? __ N Your answer should be rounded to three significant figures. Do not include units in your answer.

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