A vessel of 120mL capacity contain a certain amount of gas at 35°c &1.2 bar pressure. The gas transferred to another vessal of volume 180mL at 35°c. What would be its pressure?

Physics

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Answer

0.8 bar\text{0.8 bar}

Step-by-step solution

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A vessel of 120mL capacity contain a certain amount of gas at 35°c &1.2 bar pressure. The gas transferred to another vessal of volume 180mL at 35°c. What would be its pressure?

  1. Identify the given values and the appropriate gas law.

    Since the temperature remains constant (35 °C35 \text{ °C}), we use Boyle's Law: P1V1=P2V2P_1V_1 = P_2V_2.
    Given:
    V1=120 mLV_1 = 120 \text{ mL}
    P1=1.2 barP_1 = 1.2 \text{ bar}
    V2=180 mLV_2 = 180 \text{ mL}
    T1=T2=35 °CT_1 = T_2 = 35 \text{ °C} (constant temperature)
    We need to find P2P_2.

  2. Rearrange the formula to solve for P2P_2.

    P2=P1V1V2P_2 = \frac{P_1V_1}{V_2}
  3. Substitute the values and calculate P2P_2.

    P2=(1.2 bar)(120 mL)180 mLP_2 = \frac{(1.2 \text{ bar})(120 \text{ mL})}{180 \text{ mL}} P2=144 bar mL180 mLP_2 = \frac{144 \text{ bar mL}}{180 \text{ mL}} P2=0.8 barP_2 = 0.8 \text{ bar}

    The final pressure would be 0.8 bar\text{0.8 bar}.

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