Q. What is the number of atoms in 2 moles of NaCl? (2044)
-
A.
6.022 x 10^23
-
B.
1.2044 x 10^24
-
C.
1.2044 x 10^25
-
D.
3.011 x 10^23
Solution
Each NaCl unit has 2 atoms (Na and Cl). Therefore, 2 moles of NaCl contain 2 x 6.022 x 10^23 x 2 = 1.2044 x 10^24 atoms.
Correct Answer:
B
— 1.2044 x 10^24
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Q. What is the number of moles in 10 grams of H2? (2020)
Solution
Molar mass of H2 = 2 g/mol. Number of moles = mass/molar mass = 10 g / 2 g/mol = 5 moles.
Correct Answer:
A
— 0.5
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Q. What is the number of moles in 10 grams of hydrogen gas (H2)? (2019)
Solution
Molar mass of H2 = 2 g/mol. Number of moles = 10g/2g/mol = 5 moles.
Correct Answer:
B
— 0.5
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Q. What is the number of moles in 10 grams of Na?
-
A.
0.43
-
B.
0.22
-
C.
0.5
-
D.
0.1
Solution
Molar mass of Na = 23 g/mol. Number of moles = mass / molar mass = 10 g / 23 g/mol = 0.43 moles.
Correct Answer:
A
— 0.43
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Q. What is the number of moles in 10 grams of NaOH?
-
A.
0.25
-
B.
0.5
-
C.
0.75
-
D.
1
Solution
Molar mass of NaOH = 23 + 16 + 1 = 40 g/mol. Number of moles = mass/molar mass = 10 g / 40 g/mol = 0.25 moles.
Correct Answer:
B
— 0.5
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Q. What is the number of moles in 100 grams of NaOH?
Solution
Molar mass of NaOH = 23 + 16 + 1 = 40 g/mol. Number of moles = mass/molar mass = 100 g / 40 g/mol = 2.5 moles.
Correct Answer:
A
— 1
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Q. What is the number of moles in 180 grams of glucose (C6H12O6)?
Solution
Molar mass of C6H12O6 = 6*12 + 12*1 + 6*16 = 180 g/mol. Number of moles = mass/molar mass = 180 g / 180 g/mol = 1 mole.
Correct Answer:
A
— 1
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Q. What is the number of moles in 250 mL of a 2 M NaCl solution? (2021)
Solution
Moles = Molarity x Volume (L) = 2 M x 0.250 L = 0.5 moles.
Correct Answer:
A
— 0.5
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Q. What is the number of moles in 44 grams of carbon dioxide (CO2)? (2023)
-
A.
1 mole
-
B.
2 moles
-
C.
0.5 moles
-
D.
0.25 moles
Solution
The molar mass of CO2 is 44 g/mol. Therefore, 44 g of CO2 corresponds to 1 mole.
Correct Answer:
A
— 1 mole
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Q. What is the number of moles in 44 grams of CO2?
Solution
Molar mass of CO2 = 12 + 16*2 = 44 g/mol. Number of moles = mass/molar mass = 44 g / 44 g/mol = 1 mole.
Correct Answer:
A
— 1
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Q. What is the number of moles in 44 grams of CO2? (2021) 2021
Solution
Molar mass of CO2 = 12 + 16*2 = 44 g/mol. Number of moles = mass/molar mass = 44g/44g/mol = 1 mole.
Correct Answer:
A
— 1
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Q. What is the number of moles in 5 liters of a 2 M NaCl solution?
Solution
Moles = Molarity x Volume = 2 moles/L x 5 L = 10 moles.
Correct Answer:
A
— 2.5
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Q. What is the number of moles in 500 mL of a 2 M NaCl solution? (2023)
Solution
Moles = Molarity x Volume (L) = 2 moles/L x 0.5 L = 1 mole.
Correct Answer:
A
— 1
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Q. What is the number of proper subsets of the set E = {a, b}?
Solution
The total number of subsets is 2^n = 2^2 = 4. Proper subsets exclude the set itself, so there are 4 - 1 = 3 proper subsets.
Correct Answer:
B
— 3
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Q. What is the number of significant figures in 0.0001230?
Solution
The significant figures are 1, 2, 3, and the trailing zero counts.
Correct Answer:
C
— 5
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Q. What is the number of significant figures in the measurement 0.00456?
Solution
The significant figures are 4, 5, and 6. Leading zeros are not counted.
Correct Answer:
B
— 3
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Q. What is the number of subsets of the empty set?
Solution
The empty set has exactly one subset, which is itself (∅).
Correct Answer:
B
— 1
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Q. What is the number of subsets of the set F = {x, y, z}?
Solution
The number of subsets of a set with n elements is 2^n. Here, n = 3, so 2^3 = 8.
Correct Answer:
D
— 8
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Q. What is the number of subsets of the set H = {1, 2, 3, 4, 5}?
Solution
The number of subsets of a set with n elements is 2^n. Here, n = 5, so 2^5 = 32.
Correct Answer:
A
— 32
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Q. What is the number of subsets of the set H = {x, y, z, w, v}?
Solution
The number of subsets of a set with n elements is 2^n. Here, n = 5, so the number of subsets is 2^5 = 32.
Correct Answer:
A
— 32
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Q. What is the number of subsets of the set {1, 2, 3, 4}?
Solution
The number of subsets of a set with n elements is 2^n. Here, n = 4, so the number of subsets is 2^4 = 16.
Correct Answer:
C
— 16
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Q. What is the number of subsets of the set {a, b, c, d}?
Solution
The number of subsets of a set with n elements is 2^n. Here, n = 4, so the number of subsets is 2^4 = 16.
Correct Answer:
B
— 8
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Q. What is the Nyquist rate for a signal with a maximum frequency of 1 kHz? (2000)
-
A.
1 kHz
-
B.
2 kHz
-
C.
500 Hz
-
D.
4 kHz
Solution
Nyquist rate = 2 * f_max = 2 * 1000 Hz = 2000 Hz = 2 kHz.
Correct Answer:
B
— 2 kHz
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Q. What is the Nyquist rate for a signal with a maximum frequency of 5 kHz?
-
A.
5 kHz
-
B.
10 kHz
-
C.
15 kHz
-
D.
20 kHz
Solution
Nyquist rate = 2 * f_max = 2 * 5 kHz = 10 kHz.
Correct Answer:
B
— 10 kHz
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Q. What is the Nyquist rate in a communication system?
-
A.
The minimum sampling rate to avoid aliasing
-
B.
The maximum data rate achievable
-
C.
The frequency of the carrier wave
-
D.
The bandwidth of the communication channel
Solution
The Nyquist rate is the minimum sampling rate required to avoid aliasing, which is twice the highest frequency of the signal.
Correct Answer:
A
— The minimum sampling rate to avoid aliasing
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Q. What is the Nyquist rate in communication systems?
-
A.
The minimum sampling rate to avoid aliasing
-
B.
The maximum frequency of the signal
-
C.
The bandwidth of the communication channel
-
D.
The maximum data rate of a channel
Solution
The Nyquist rate is the minimum sampling rate required to avoid aliasing, which is twice the maximum frequency of the signal.
Correct Answer:
A
— The minimum sampling rate to avoid aliasing
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Q. What is the Nyquist rate in the context of signal sampling?
-
A.
The minimum sampling rate to avoid aliasing
-
B.
The maximum frequency of the signal
-
C.
The bandwidth of the signal
-
D.
The average power of the signal
Solution
The Nyquist rate is defined as twice the maximum frequency of the signal, which is the minimum sampling rate required to avoid aliasing.
Correct Answer:
A
— The minimum sampling rate to avoid aliasing
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Q. What is the Nyquist rate?
-
A.
The minimum sampling rate to avoid aliasing
-
B.
The maximum frequency of a signal
-
C.
The bandwidth of a communication channel
-
D.
The rate of data transmission in a channel
Solution
The Nyquist rate is the minimum sampling rate required to avoid aliasing, which is twice the maximum frequency of the signal.
Correct Answer:
A
— The minimum sampling rate to avoid aliasing
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Q. What is the one-word substitution for 'a person who collects stamps'? (2019)
-
A.
Philatelist
-
B.
Numismatist
-
C.
Collector
-
D.
Hobbyist
Solution
A philatelist is someone who collects and studies postage stamps.
Correct Answer:
A
— Philatelist
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Q. What is the one-word substitution for 'a person who designs buildings'? (2021)
-
A.
Architect
-
B.
Engineer
-
C.
Builder
-
D.
Contractor
Solution
An architect is a professional who designs buildings and other structures.
Correct Answer:
A
— Architect
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