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A cylinder is closed by a piston connected to a spring of constant 2.10 x 10³ N/m. With the spring relaxed, the cylinder is filled with 5.00 L of gas at a pressure of 1.00 atm and a temperature of 20.0°C. (a) If the piston has a cross-sectional area of 0.0150 m² and negligible mass, how high will it rise when the temperature is raised to 250°C? X You appear to have neglected the increase in pressure due to the force of the spring. m (b) What is the pressure of the gas at 250°C? X If you know the displacement of the piston, you can calculate the pressure from the force exerted by the spring, or by considering the effect of the change in volume and temperature using the ideal gas law. Pa
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Transcribed Image Text:A cylinder is closed by a piston connected to a spring of constant 2.10 x 10³ N/m. With the spring relaxed, the cylinder is filled with 5.00 L of gas at a pressure of 1.00 atm and a temperature of 20.0°C. (a) If the piston has a cross-sectional area of 0.0150 m² and negligible mass, how high will it rise when the temperature is raised to 250°C? X You appear to have neglected the increase in pressure due to the force of the spring. m (b) What is the pressure of the gas at 250°C? X If you know the displacement of the piston, you can calculate the pressure from the force exerted by the spring, or by considering the effect of the change in volume and temperature using the ideal gas law. Pa
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