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A gas occupies a volume of 2000 cm³ at a certain pressure. If the pressure is reduced to 1/5 of its original value while the temperature remains constant, what is the new volume?

Physics

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Step 1: Identify the given values and the relevant gas law.
The initial volume is V1=2000 cm3V_1 = 2000 \text{ cm}^3.
The final pressure is P2=15P1P_2 = \frac{1}{5} P_1.
The temperature remains constant (T1=T2T_1 = T_2).
We need to find the new volume V2V_2.
Since the temperature and mass of the gas are constant, we use Boyle's Law, which states P1V1=P2V2P_1V_1 = P_2V_2.

Step 2: Substitute the given values into Boyle's Law.

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