Isme ye 6.0 kyu aaya

Chemistry

ScanSolve AI Answer

Answer

0.97 mol0.97\ \text{mol}

Step-by-step solution

4 steps

The value 6.0 is incorrect for the number of moles in this problem. It seems you might have incorrectly divided the volume by the pressure (12.0 L/2.0 atm=6.012.0\ \text{L} / 2.0\ \text{atm} = 6.0). However, to calculate the number of moles of a gas, you must use the Ideal Gas Law, which also accounts for temperature and the gas constant.

Here's the correct calculation:

  1. Recall the Ideal Gas Law.

    The Ideal Gas Law is given by PV=nRTPV = nRT, where:

    • PP = Pressure
    • VV = Volume
    • nn = Number of moles
    • RR = Ideal Gas Constant
    • TT = Temperature
  2. Rearrange the formula to solve for the number of moles (nn).

    n=PVRTn = \frac{PV}{RT}

  3. Substitute the given values into the equation.

    Given:

    • P=2.0 atmP = 2.0\ \text{atm}
    • V=12.0 LV = 12.0\ \text{L}
    • T=300 KT = 300\ \text{K}
    • R=0.0821 L atm/mol KR = 0.0821\ \text{L atm/mol K}

    n=(2.0 atm)(12.0 L)(0.0821 L atm/mol K)(300 K)n = \frac{(2.0\ \text{atm})(12.0\ \text{L})}{(0.0821\ \text{L atm/mol K})(300\ \text{K})}
    n=24.0 L atm24.63 L atm/moln = \frac{24.0\ \text{L atm}}{24.63\ \text{L atm/mol}}
    n≈0.9744 moln \approx 0.9744\ \text{mol}

  4. Round to appropriate significant figures.

    The given pressure (2.0 atm) has two significant figures, so the answer should also be rounded to two significant figures.
    n≈0.97 moln \approx 0.97\ \text{mol}

    The correct number of moles is approximately 0.97 mol0.97\ \text{mol}.

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