Some Basic Concepts of Chemistry Question 1.Calculate the molecular mass of the following :(i) H2o(ii) CO2(iii) CH4 Solution:(i) Molecular mass of H2O :2 × 1 + 1 × 16 = 18u(ii) Molecular mass of CO2 :1 × 12 + 2× 16 = 44 u(iii) Molecular mass of CH4 : 12 + 4 × 1 = 16 u Question 2.Calculate the mass percent of […]
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Probability (Ex – 16.3) Question 1.Which of the following cannot be valid assignment of probabilities for outcomes of sample spaceS = {⍵1, ⍵2, ⍵3, ⍵4, ⍵5, ⍵6, ⍵7} Solution:(a) Sum of probabilities = 0.1 + 0.01 + 0.05 + 0.03 + 0.01 + 0.2 + 0.6 = 1.00∴ Assignment of probabilities is valid.(b) Sum of
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Probability (Ex – 16.2) Question 1.A die is rolled. Let E be the event “die shows 4” and F be the event “die shows even number”. Are E and F mutually exclusive? Solution:An experiment consists of rolling a die.∴ S = {1, 2, 3, 4, 5, 6}E: die shows 4 = {4}F : die shows
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Probability (Ex – 16.1) In each of the following Exercises 1 to 7, describe the sample space for the indicated experiment. Question 1.A coin is tossed three times. Solution:When one coin is tossed three times, The sample space of the experiment is given by S = {HHH, HHT, HTH, THH, TTH, THT, HTT, TTT}. Question
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Statistics (Ex – 15.3) Question 1.From the data given below state which group is more variable, A or B? Solution:For Group A : Question 2.From the prices of shares X and Y below, find out which is more stable in value: Solution: Question 3.An analysis of monthly wages paid to workers in two firms A
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Statistics (Ex – 15.2) Find the mean and variance for each of the data in Exercises 1 to 5. Question 1.6, 7, 10, 12, 13, 4, 8, 12 Solution:Here xi = 6, 7, 10, 12, 13, 4, 8, 12∴ Σxi = 6 + 7 + 10 + 12 + 13 + 4 + 8 + 12 =
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Statistics (Ex – 15.1) Find the mean deviation about the mean for the data in Exercises 1 and 2. Question 1.4, 7, 8, 9, 10, 12, 13, 17 Solution:Mean of the given data is Question 2.38, 70, 48, 40, 42, 55, 63, 46, 54, 44 Solution:Mean of the given data is Question 3.13, 17, 16,
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Mathematical Reasoning (Ex – 14.5) Question 1.Show that the statementp: “If x is a real number such that x3 + 4x = 0, then x is 0″ is true by(i) direct method,(ii) method of contradiction,(iii) method of contrapositive. Solution:The given compound statement is of the form “if p then q”p: x ϵ R such that x3 + 4x = 0q:
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Mathematical Reasoning (Ex – 14.4) Question 1.Rewrite the following statement with “if-then” in five different ways conveying the same meaning. If a natural number is odd, then its square is also odd. Solution:(i) A natural number is odd implies that its square is odd.(ii) A natural number is odd only if its square is odd.(iii) For a natural
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