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Ozone reacts with nitric oxide according to the equation NO(g) + O3(g) → NO2(g) + O2(g) 0.66 g NO(g) was mixed with 0.72 g O3(g) - HSC - SSCE Chemistry - Question 9 - 2004 - Paper 1

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Question 9

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Ozone reacts with nitric oxide according to the equation NO(g) + O3(g) → NO2(g) + O2(g) 0.66 g NO(g) was mixed with 0.72 g O3(g). What is the maximum volume of NO... show full transcript

Worked Solution & Example Answer:Ozone reacts with nitric oxide according to the equation NO(g) + O3(g) → NO2(g) + O2(g) 0.66 g NO(g) was mixed with 0.72 g O3(g) - HSC - SSCE Chemistry - Question 9 - 2004 - Paper 1

Step 1

Calculate the moles of NO(g)

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Answer

To find the number of moles of NO, we use the formula:

n=massmolarmassn = \frac{mass}{molar\, mass}

The molar mass of NO is approximately 30.01 g/mol, so:

nNO=0.66g30.01g/mol0.022 moles NOn_{NO} = \frac{0.66 \, g}{30.01 \, g/mol} \approx 0.022 \text{ moles NO}

Step 2

Calculate the moles of O3(g)

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Answer

Next, we calculate the moles of O3 using its molar mass of approximately 48.00 g/mol:

nO3=0.72g48.00g/mol0.015 moles O3n_{O3} = \frac{0.72 \, g}{48.00 \, g/mol} \approx 0.015 \text{ moles O3}

Step 3

Determine the limiting reactant

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Answer

From the balanced equation, we see that 1 mole of NO reacts with 1 mole of O3. Comparing moles:

  • Moles of NO = 0.022
  • Moles of O3 = 0.015

Since there is less O3, it is the limiting reactant.

Step 4

Calculate the moles of NO2(g) produced

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Answer

According to the balanced equation, 1 mole of O3 produces 1 mole of NO2. Thus, the moles of NO2 produced are equal to the moles of O3:

nNO2=nO3=0.015 molesn_{NO2} = n_{O3} = 0.015 \text{ moles}

Step 5

Calculate the volume of NO2(g) at 0°C and 100 kPa

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Answer

Using the ideal gas law, we can find the volume:

PV=nRTPV = nRT

Where:

  • P = 100 kPa
  • V = volume of NO2
  • n = 0.015 moles
  • R = 8.314 J/(mol·K) = 8.314 kPa·L/(mol·K)
  • T = 273.15 K (0°C)

Rearranging for V gives us:

V=nRTP=0.015mol×8.314kPaL/(molK)×273.15K100kPaV = \frac{nRT}{P} = \frac{0.015 \, mol \times 8.314 \, kPa \cdot L/(mol \cdot K) \times 273.15 K}{100 \, kPa}

Calculating this yields:

V0.34LV \approx 0.34 \, L

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