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A gas has a volume of 2.5 L at a pressure of 100 kPa. If the temperature is kept constant, what is the volume of the gas when the pressure is increased to 250 kPa?

Chemistry

ScanSolve AI Answer

Answer

1.0 L\text{1.0 L}

Step-by-step solution

3 steps
  1. Identify the given values and the relevant gas law.

    This problem involves a change in pressure and volume of a gas at constant temperature, which is described by Boyle's Law: P1V1=P2V2P_1V_1 = P_2V_2.

    Given:
    Initial volume, V1=2.5 LV_1 = 2.5 \text{ L}
    Initial pressure, P1=100 kPaP_1 = 100 \text{ kPa}
    Final pressure, P2=250 kPaP_2 = 250 \text{ kPa}
    Final volume, V2=?V_2 = ?

  2. Substitute the values into Boyle's Law equation.

    (100 kPa)(2.5 L)=(250 kPa)V2(100 \text{ kPa})(2.5 \text{ L}) = (250 \text{ kPa})V_2
  3. Solve for V2V_2.

    250 kPa⋅L=(250 kPa)V2250 \text{ kPa} \cdot \text{L} = (250 \text{ kPa})V_2 V2=250 kPa⋅L250 kPaV_2 = \frac{250 \text{ kPa} \cdot \text{L}}{250 \text{ kPa}} V2=1.0 LV_2 = 1.0 \text{ L}

    The volume of the gas at 250 kPa250 \text{ kPa} is 1.0 L\boxed{\text{1.0 L}}.

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