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2Na(s) + 2H2O(l) → 2NaOH(aq) + H2(g)
[Molar volume = 24,000cm3 at rtp]
7. 50cm3 of nitrogen monoxide reacted with oxygen. The equation for this reaction is:
2NO (g) + O2 (g) → 2NO2 (g)
How many moles of nitrogen monoxide were used and what volume of oxygen was required? [Molar volume = 24,000cm3 at rtp]
Q8+9. Carbon monoxide gas was used to reduce 320kg of iron(III)oxide to iron. The equation for the reaction is:
Fe2O3(s) + 3 CO(g) → 2 Fe(s) + 3 CO2(g)
If 140cm3 of carbon dioxide was collected (not at rtp), what was the molar volume of gas under these conditions?
Question 1:
The correct answer is C. number of moles = gas volume (in cm³) ÷ 24,000.
Explanation:
At room temperature and pressure (RTP), 1 mole of any gas occupies 24,000 cm³ (which is equal to 24 dm³).
Therefore, to find the number of moles from a given volume in cm³, you divide the volume by the molar gas volume:
Number of moles = Volume (in cm³) ÷ 24,000
Why the other options are incorrect:
A. Multiplying by 24,000 would give you a huge number that is not the number of moles (it would be the volume that 24,000 moles would occupy!).
B. Multiplying by 24 is incorrect because 24 is the value in dm³ (i.e., 24 dm³ per mole). If you use volume in cm³, you must use 24,000 (since 1 dm³ = 1,000 cm³, so 24 dm³ = 24,000 cm³).
D. Dividing by 24 is wrong because that uses the value for dm³ but with a volume given in cm³. If you wanted to use 24, the volume must first be converted from cm³ to dm³ (by dividing by 1,000).
To summarize the correct formulas:
If volume is in cm³: Moles = Volume ÷ 24,000
If volume is in dm³: Moles = Volume ÷ 24
*These A.I. responses have been individually checked to ensure they match the accepted answer, but explanations may still be incorrect. Responses may give guidance but the A.I. might not be able to answer the question! This is particularly the case for questions based on diagrams, which the A.I. typically cannot interpret. Grade Gorilla uses Gemini, Deepseek and a range of other A.I. chatbots to generate the saved responses. Some answers have had human intervention for clarity or where the A.I. has not been able to answer the question.
Question 2:
The correct answer is C. 0.005.
To find the number of moles, use the formula:
Given:
Volume = 120 cm³
Molar volume at RTP = 24,000 cm³
Calculation: Moles = 120 ÷ 24,000 = 0.005 moles
A. 200 – This would be the result if you multiplied 120 by 24,000 and then divided by something incorrectly, or if you confused the formula.
B. 5 – This would be the result if you divided 120 by 24 (using the value for dm³ instead of cm³ without converting units).
D. 3.16 – This is a random value and does not come from the correct calculation.
Question 3:
The correct answer is D. 96 dm³.
To find the volume of a gas from the number of moles, use the formula:
Volume = number of moles × molar volume
Number of moles = 4 moles
Molar volume at RTP = 24 dm³
Calculation: Volume = 4 × 24 = 96 dm³
A. 96,000 dm³ – This would be the result if you multiplied 4 by 24,000 (using the value for cm³ instead of dm³) and then kept the unit as dm³, which is incorrect.
B. 6000 cm³ – This is a random value and does not come from the correct calculation. (It is also the equivalent of 6 dm³, which is the volume for 0.25 moles, not 4 moles.)
C. 6 dm³ – This would be the result if you divided 24 by 4 instead of multiplying (i.e., 24 ÷ 4 = 6), which is the wrong operation for finding volume from moles.
Question 4:
The correct answer is A. 2,400 cm³.
To find the volume, you need to follow these steps:
Calculate the number of moles of CH₄: Moles = Mass ÷ Molar mass (Mr) Moles = 1.6 g ÷ 16 g/mol = 0.1 moles
Calculate the volume at RTP: Volume = Moles × Molar volume Volume = 0.1 × 24,000 cm³ = 2,400 cm³
B. 2,400 dm³ – This uses the correct number (2,400) but the wrong unit. Since the molar volume was given in cm³, the answer should also be in cm³, not dm³. (2,400 cm³ is equal to only 2.4 dm³.)
C. 38,400 cm³ – This would be the result if you multiplied the mass (1.6 g) by 24,000 directly, without dividing by the molar mass (16) first.
D. 15,000 cm³ – This is a random value and does not come from the correct calculation.
Question 5:
The correct answer is C. 0.44g.
To find the loss in mass (which is the mass of CO₂ released), follow these steps:
Calculate the number of moles of CO₂: Moles = Volume (in cm³) ÷ Molar volume (in cm³) Moles = 240 cm³ ÷ 24,000 cm³ = 0.01 moles
Calculate the mass of CO₂: Mass = Moles × Molar mass (Mr) Mass = 0.01 × 44 g/mol = 0.44 g
Therefore, the total loss in mass of the flask is 0.44g.
A. 440g – This would be the result if you multiplied the volume (240) by the molar mass (44) and then divided by 24 incorrectly (or just multiplied 240 by 44 and ignored the molar volume entirely).
B. 4.4g – This would be the mass of 0.1 moles of CO₂. This would be correct if the volume were 2,400 cm³ (since 2,400 ÷ 24,000 = 0.1 moles), but the volume given is only 240 cm³ (0.01 moles).
D. 5.45g – This is a random value that does not come from the correct calculation.
Question 6:
The correct answer is A. 240 cm³.
From the balanced equation: 2Na(s) + 2H₂O(l) → 2NaOH(aq) + H₂(g) The mole ratio of Na : H₂ is 2 : 1.
This means that 2 moles of sodium produce 1 mole of hydrogen gas.
Given: 0.02 moles of sodium Moles of H₂ produced = 0.02 ÷ 2 = 0.01 moles
Now calculate the volume of H₂ at RTP: Volume = Moles × Molar volume Volume = 0.01 × 24,000 cm³ = 240 cm³
B. 480 cm³ – This would be the volume if 0.02 moles of sodium produced 0.02 moles of H₂ (i.e., a 1:1 ratio), but the actual ratio is 2:1, so only half that amount of hydrogen is produced.
C. 960 cm³ – This would be the volume for 0.04 moles of H₂, which is not produced from 0.02 moles of Na.
D. 10 cm³ – This is a random value and does not come from the correct stoichiometric calculation.
Question 7:
The correct answer is B. 0.0021 moles of nitrogen monoxide and 25 cm³ of oxygen.
Step 1: Calculate moles of NO used Moles = Volume (cm³) ÷ Molar volume (cm³) Moles of NO = 50 cm³ ÷ 24,000 cm³ = 0.00208... mol (≈ 0.0021 mol)
Step 2: Use the mole ratio to find volume of O₂ required From the balanced equation: 2NO (g) + O₂ (g) → 2NO₂ (g) The mole ratio of NO : O₂ is 2 : 1.
This means that 2 volumes of NO react with 1 volume of O₂ (since gases at the same temperature and pressure have equal mole-to-volume ratios).
So, if 50 cm³ of NO is used, the volume of O₂ required is: 50 cm³ ÷ 2 = 25 cm³
A. 0.0021 moles and 50 cm³ – The moles are correct, but the volume of oxygen is wrong. 50 cm³ would be the volume of O₂ if the ratio were 1:1, but the ratio is 2:1, so only 25 cm³ is needed.
C. 0.0042 moles and 50 cm³ – This would be the moles for 100 cm³ of NO (0.0042 mol), not 50 cm³. The volume of oxygen is also wrong for the same reason as A.
D. 0.0042 moles and 25 cm³ – The volume of oxygen is correct, but the moles of NO is double what it should be for 50 cm³.
Question 8:
The correct answer is C. 2000.
To find the number of moles of Fe₂O₃, use the formula:
Moles = Mass (in grams) ÷ Molar mass (Mr)
Step 1: Convert mass from kg to grams 320 kg = 320 × 1000 = 320,000 g
Step 2: Calculate the molar mass (Mr) of Fe₂O₃
Fe = 56, so 2 × 56 = 112
O = 16, so 3 × 16 = 48
Mr of Fe₂O₃ = 112 + 48 = 160 g/mol
Step 3: Calculate moles of Fe₂O₃ Moles = 320,000 g ÷ 160 g/mol = 2000 moles
A. 2.0 – This would be the result if you used 320 g instead of 320 kg (i.e., 320 ÷ 160 = 2), but the mass given is in kg, so you must convert to grams first.
B. 4.4 – This is a random value and does not come from the correct calculation.
D. 4400 – This would be the result if you incorrectly used the molar mass of CO (28) or Fe (56) instead of Fe₂O₃, or if you divided 320,000 by 72.7 (which is not relevant here).
Question 9:
The correct answer is A. 144,000 dm³.
From the previous question, we know that 2000 moles of Fe₂O₃ were reduced.
Step 1: Use the mole ratio to find moles of CO needed From the balanced equation: Fe₂O₃ (s) + 3 CO (g) → 2 Fe (s) + 3 CO₂ (g) The mole ratio of Fe₂O₃ : CO is 1 : 3.
This means that 1 mole of Fe₂O₃ requires 3 moles of CO.
So, for 2000 moles of Fe₂O₃: Moles of CO = 2000 × 3 = 6000 moles
Step 2: Calculate the volume of CO at RTP Volume = Moles × Molar volume Volume = 6000 × 24 dm³ = 144,000 dm³
B. 48,000 dm³ – This would be the volume if only 1 mole of CO was needed per mole of Fe₂O₃ (i.e., a 1:1 ratio), but the actual ratio is 3:1, so you need three times this amount.
C. 144 dm³ – This would be the volume for 6 moles of CO (6 × 24 = 144), which is far too small. This ignores the conversion from kg to grams and the mole ratio.
D. 48 dm³ – This would be the volume for 2 moles of CO, which is also far too small and does not reflect the correct stoichiometry.
Question 10:
The correct answer is D. 28,000 cm³.
To find the molar volume under the experimental conditions, use the formula:
Molar volume = Volume of gas (in cm³) ÷ Number of moles
Volume of CO₂ collected = 140 cm³
Moles of CO₂ = 0.005 moles
Calculation: Molar volume = 140 cm³ ÷ 0.005 = 28,000 cm³
So, under these conditions, 1 mole of gas would occupy 28,000 cm³ (which is equivalent to 28 dm³).
A. 120 cm³ – This would be the result if you multiplied 0.005 by 24,000 (i.e., 120), which is the volume that 0.005 moles would occupy at RTP, not the molar volume under the experimental conditions.
B. 24,000 cm³ – This is the molar volume at RTP (standard conditions), but the question states that the gas was collected not at rtp, so the molar volume under these new conditions is different.
C. 120 dm³ – This is the same numerical value as option A but with the wrong unit (dm³ instead of cm³). Also, 120 dm³ would be an enormous molar volume and does not match the calculation.