In a gas compression isothermally from V1 = 2.0 L to V2 = 1.0 L at constant temperature. If P1 = 1 atm, what is P2?

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Multiple Choice

In a gas compression isothermally from V1 = 2.0 L to V2 = 1.0 L at constant temperature. If P1 = 1 atm, what is P2?

Explanation:
Isothermal means temperature is constant, so for a fixed amount of gas the product PV stays the same. Use P1V1 = P2V2. With P1 = 1 atm and V1 = 2.0 L, P1V1 = 2.0 atm·L. After compression to V2 = 1.0 L, P2 must satisfy P2 × 1.0 L = 2.0 atm·L, giving P2 = 2 atm. So the pressure doubles when the volume halves at the same temperature. The other values would violate PV = constant.

Isothermal means temperature is constant, so for a fixed amount of gas the product PV stays the same. Use P1V1 = P2V2. With P1 = 1 atm and V1 = 2.0 L, P1V1 = 2.0 atm·L. After compression to V2 = 1.0 L, P2 must satisfy P2 × 1.0 L = 2.0 atm·L, giving P2 = 2 atm. So the pressure doubles when the volume halves at the same temperature. The other values would violate PV = constant.

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